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Relevant bibliographies by topics / Highest weight modules

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Academic literature on the topic 'Highest weight modules'

Author: Grafiati

Published: 6 September 2023

Last updated: 7 September 2023

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Journal articles on the topic "Highest weight modules"

1

Adams, Jeffrey. "Unitary highest weight modules." Advances in Mathematics 63, no. 2 (1987): 113–37. http://dx.doi.org/10.1016/0001-8708(87)90049-1.

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Matumoto, Hisayosi. "Whittaker modules associated with highest weight modules." Duke Mathematical Journal 60, no. 1 (1990): 59–113. http://dx.doi.org/10.1215/s0012-7094-90-06002-8.

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Dimitrov, I., and I. Penkov. "Partially integrable highest weight modules." Transformation Groups 3, no. 3 (1998): 241–53. http://dx.doi.org/10.1007/bf01236874.

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Chen, Guobo. "A Family of Non-weight Modules over the Virasoro Algebra." Algebra Colloquium 27, no. 04 (2020): 807–20. http://dx.doi.org/10.1142/s100538672000067x.

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In this paper, we consider the tensor product modules of a class of non-weight modules and highest weight modules over the Virasoro algebra. We determine the necessary and sufficient conditions for such modules to be simple and the isomorphism classes among all these modules. Finally, we prove that these simple non-weight modules are new if the highest weight module over the Virasoro algebra is non-trivial.

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Grishkov, A. N., and F. Marko. "Description of costandard modules for Schur superalgebra S(2|2) in positive characteristic." Journal of Algebra and Its Applications 17, no. 02 (2018): 1850038. http://dx.doi.org/10.1142/s021949881850038x.

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In this paper, we shall describe costandard modules [Formula: see text] of restricted highest weight [Formula: see text] for Schur superalgebra [Formula: see text] over an algebraically closed field [Formula: see text] of positive characteristic [Formula: see text]. Additionally, for a restricted highest weight [Formula: see text], we determine all composition factors of the costandard module [Formula: see text]; in particular we compute the decomposition numbers in the process of the modular reduction of a simple module with a restricted highest weight.

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Matumoto, Hisayosi. "Correction to Whittaker modules associated with highest weight modules." Duke Mathematical Journal 61, no. 3 (1990): 973. http://dx.doi.org/10.1215/s0012-7094-90-06137-x.

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Mazorchuk, Volodymyr, and Kaiming Zhao. "Characterization of Simple Highest Weight Modules." Canadian Mathematical Bulletin 56, no. 3 (2013): 606–14. http://dx.doi.org/10.4153/cmb-2011-199-5.

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Abstract.We prove that for simple complex finite dimensional Lie algebras, affine Kac–Moody Lie algebras, the Virasoro algebra, and the Heisenberg–Virasoro algebra, simple highest weight modules are characterized by the property that all positive root elements act on these modules locally nilpotently. We also show that this is not the case for higher rank Virasoro algebras and for Heisenberg algebras.

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Boyallian, Carina, and Vanesa Meinardi. "Quasi-finite highest weight modules overWN∞." Journal of Physics A: Mathematical and Theoretical 44, no. 23 (2011): 235201. http://dx.doi.org/10.1088/1751-8113/44/23/235201.

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Huang, Jing-Song, and Wei Xiao. "Dirac cohomology of highest weight modules." Selecta Mathematica 18, no. 4 (2012): 803–24. http://dx.doi.org/10.1007/s00029-011-0085-8.

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Neeb, Karl-Hermann. "Square integrable highest weight representations." Glasgow Mathematical Journal 39, no. 3 (1997): 296–321. http://dx.doi.org/10.1017/s0017089500032237.

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If G is the group of holomorphic automorphisms of a bounded symmetric domain, then G has a distinguished class of irreducible unitary representations called the holomorphic discrete series of G. These representations have been studied by Harish-Chandra in [7]. On the Lie algebra level, the Harish-Chandra modules corresponding to the holomorphic discrete series representations are highest weight modules. Even for G as above, it turns out that not all the unitary highest weight modules belong to the holomorphic discrete series but there exists a condition on the highest weight which characterize

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Dissertations / Theses on the topic "Highest weight modules"

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Kac, Victor G., Minoru Wakimoto, and kac@math mit edu. "Integrable Highest Weight Modules over Affine Superalgebras and Appell's." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi920.ps.

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Takemura, Koichi. "The decomposition of level-1 irreducible highest-weight modules with respect to the level-0 actions of the quantum affine algebra." 京都大学 (Kyoto University), 2000. http://hdl.handle.net/2433/181094.

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Krishna, Teja G. V. "Weights of highest weight modules over Kac-Moody algebras." Thesis, 2022. https://etd.iisc.ac.in/handle/2005/5886.

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In this dissertation, broadly, we treat the weight-sets of arbitrary highest weight modules (uniformly) over all general complex Kac-Moody Lie algebras $\mathfrak{g}$, achieving the below. We obtain a uniform, explicit, cancellation-free and positive formula for the weight-sets of all highest weight modules $V$ (of all highest weights) over all Kac-Moody $\mathfrak{g}$. Interestingly, our formula for the weights of $V$ involves basic ingredients, namely the independent subsets in the Dynkin diagram of $\mathfrak{g}$ determined by $V$, and nothing else! Prior to our work, it seems that

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Ahmadi, Amir. "Axiomatic approach to cellular algebras." Thesis, 2020. http://hdl.handle.net/1866/23949.

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Les algèbres cellulaires furent introduite par J.J. Graham et G.I. Lehrer en 1996. Elles forment une famille d’algèbres associatives de dimension finie définies en termes de « données cellulaires » satisfaisant certains axiomes. Ces données cellulaires, lorsqu’elles sont identifiées pour une certaine algèbre, permettent une construction explicite de tous ses modules simples, à isomorphisme près, et de leurs couvertures projectives. Dans ce mémoire, nous définissons ces algèbres cellulaires en introduisant progressivement chacun des éléments constitutifs d’une façon axiomatique. Deux aut

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Tuček, Vít. "Invariantní differenciální operátory pro 1-gradované geometrie." Doctoral thesis, 2017. http://www.nusl.cz/ntk/nusl-368920.

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In this thesis we classify singular vectors in scalar parabolic Verma modules for those pairs (sl(n, C), p) of complex Lie algebras where the homogeneous space SL(n, C)/P is the Grassmannian of k-planes in Cn . We calculate cohomology of nilpotent radicals with values in certain unitarizable highest weight modules. According to [BH09] these modules have BGG resolutions with weights determined by this cohomology. Such resolutions induce complexes of invariant differential operators on sections of associated bundles over Hermitian symmetric spaces. We describe formal completions of unitarizable

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Books on the topic "Highest weight modules"

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1958-, Shelton Brad, ed. Categories of highest weight modules: Applications to classical Hermitian symmetric pairs. American Mathematical Society, 1987.

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Jakobsen, Hans Plesner. The full set of unitarizable highest weight modules of basic classical Lie superalgebras. American Mathematical Society, 1994.

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Fermat's last theorem. American Mathematical Society, 2013.

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Book chapters on the topic "Highest weight modules"

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Joseph, Anthony. "Highest Weight Modules." In Quantum Groups and Their Primitive Ideals. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-78400-2_5.

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Humphreys, James. "Highest weight modules I." In Graduate Studies in Mathematics. American Mathematical Society, 2008. http://dx.doi.org/10.1090/gsm/094/05.

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Humphreys, James. "Highest weight modules II." In Graduate Studies in Mathematics. American Mathematical Society, 2008. http://dx.doi.org/10.1090/gsm/094/06.

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Alldridge, Alexander, and Zain Shaikh. "Superbosonisation, Riesz superdistributions, and highest weight modules." In Advances in Lie Superalgebras. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-02952-8_1.

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Xu, Xiaoping. "Analogue of the Highest-Weight Theory." In Introduction to Vertex Operator Superalgebras and Their Modules. Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-015-9097-6_5.

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Kac, Victor G., and Minoru Wakimoto. "Integrable Highest Weight Modules over Affine Superalgebras and Number Theory." In Lie Theory and Geometry. Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4612-0261-5_15.

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Tanisaki, T. "Highest Weight Modules Associated to Parabolic Subgroups with Commutative Unipotent Radicals." In Algebraic Groups and their Representations. Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5308-9_5.

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Enright, Thomas J., Markus Hunziker, and W. Andrew Pruett. "Diagrams of Hermitian type, highest weight modules, and syzygies of determinantal varieties." In Symmetry: Representation Theory and Its Applications. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-1590-3_6.

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García-Escudero, Juan, and Miguel Lorente. "Highest Weight Unitary Modules for Non-Compact Groups and Applications to Physical Problems." In Symmetries in Science V. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4615-3696-3_10.

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Kac, Victor G., and Minoru Wakimoto. "On Characters of Irreducible Highest Weight Modules of Negative Integer Level over Affine Lie Algebras." In Lie Groups, Geometry, and Representation Theory. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02191-7_9.

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Conference papers on the topic "Highest weight modules"

1

Bakhshi, Shashwat, Prahit Dubey, A. K. Srouji, and Zenan Wu. "Comparison of Different Liquid Cooling Configurations for Effective Thermal Management of Li-Ion Pouch Cell for Automotive Applications." In ASME 2020 Heat Transfer Summer Conference collocated with the ASME 2020 Fluids Engineering Division Summer Meeting and the ASME 2020 18th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/ht2020-9050.

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Abstract An effective cooling mechanism is the backbone of a good automotive battery thermal management system (BTMS). In addition to prevention of extreme events such as thermal runaway, an automotive BTMS must be able to efficiently tackle aggressive environmental temperatures, and/or discharge and charge conditions during electric vehicle operation. Moreover, electrical performance and cycle life of the battery modules and packs are closely tied to the battery temperatures and thermal gradients, which increase with increase in C-Rates. In order to keep the battery temperatures to be under t

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Æsøy, Lene, Henry Piehl, and Ann Rigmor Nerheim. "System Simulation-Based Feasibility and Performance Study of Alternative Fuel Concepts for Aquaculture Wellboats." In ASME 2022 41st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/omae2022-81106.

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Abstract Climate change and population growth are increasing the need for sustainable food production. The ocean covers around 70% of the earth’s surface area and there is a great potential in utilizing this for ocean farming. However, the maritime traffic needs to decrease the emissions per transported mass with 50% by 2030 to meet the Paris Agreement. With an increased ocean space utilization, the vessel fleet will increase due to operational demands. Hence, with increased energy consumption, the need for decarbonization will increase further. Wellboats are one of the main contributors to th

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3

Bischur, Enrico, and Norbert Schwesinger. "Plane PVDF-Foil Modules for Energy Harvesting of Dynamic Weight Forces." In ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2011. http://dx.doi.org/10.1115/smasis2011-5164.

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Plane PVDF-foil modules have been developed and successfully tested that generate electrical energy out of the mechanical energy of dynamic weight forces. For instance electrical energy can be generated, if people or vehicles pass such modules on a ground area. This method is based on the piezoelectric effect of stretched PVDF-foil. The energy conversion of the generator modules was investigated with regard to the remanent polarization of the PVDF material. Furthermore, the influence of the PVDF layer system was investigated on the energy conversion. The measured values are compared with value

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Yuruker, Sevket U., Raphael K. Mandel, Patrick McCluskey, et al. "Advanced Packaging and Thermal Management of High-Power DC-DC Converters." In ASME 2019 International Technical Conference and Exhibition on Packaging and Integration of Electronic and Photonic Microsystems. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/ipack2019-6559.

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Abstract Thermal management of high-power electronics is often a major obstacle in achieving improved packaging density. Emergence of SiC devices allows higher voltage and temperature limits, but thermal management is still a bottleneck in achieving compact, reliable and high-performance systems. This study introduces the design of an advanced packaging configuration of a dual-active-bridge 10 kW DC-DC converter module with 97% efficiency and ∼1.5 × 104 kW/m3 power density based on preliminary modeling analysis. The proposed packaging scheme allows for significant volume reduction and consider

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Fysikopoulos, Apostolos, Theocharis Alexopoulos, George Pastras, Panos Stavropoulos, and Georgios Chryssolouris. "On the Design of a Sustainable Production Line: The MetaCAM Tool." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-52960.

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Nowadays, manufacturing enterprises face enormous environmental challenges, due to complex and diverse economic trends, including shorter product life cycles, rapid advances in science and technology, increased diversity in customer demands and globalization of production activities. Consequently, the cost is highly affected by environmentally related factors. Energy efficiency is one of the main factors, which together with waste management, affect manufacturing decisions. The complexity and diversity of the factors that determine energy efficiency require intelligent systems for their optimi

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Ahuja, Suresh. "Effect of Interface and Depth on Hardness and Viscoelastic Modulus in Polycarbonate and Polyester Films." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-42727.

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Hardness and modulus of a polymer is known to depend on its structure, molecular weight and number of segments between entanglements. Nano-indentation is used increasingly as a powerful tool to determine hardness and visco-elastic modulus of polymer surfaces linear, cross-linked or composites. Hysitron Nanoindenter was used in our investigation of contact deformation of surfaces of polyester and polycarbonate supported on an aluminum substrate. Bar coatings of polymer films were made from solutions and dried all at 110C for half an hour. The coatings were subjected to indentation including sin

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Tesch, Alrik, Martin Lange, Konrad Vogeler, Jens Ortmanns, Erik Johann, and Volker Gümmer. "An Experimental Investigation of a Tandem Stator Flow Characteristic in a Low Speed Axial Research Compressor." In ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gt2014-26104.

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A major goal in axial compressor development is to increase the efficiency and to reduce the weight of the module. In order to do so the power density has to be increased by raising the work per stage. Higher capability to do work can be achieved by increasing the circumferential velocity component of the fluid. Tandem stators might offer the ability to turn high swirling flow with lower losses compared to a single blade stator. In terms of higher aerodynamic loading the use of tandem vanes can be a key feature to allow the design of highly efficient and compact compressor modules. This paper

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Marotta, E. E., M. J. Ellsworth, J. Norley, and G. Getz. "The Development of a Bonded Fin Graphite/Epoxy Heat Sink for High Performance Servers." In ASME 2003 International Electronic Packaging Technical Conference and Exhibition. ASMEDC, 2003. http://dx.doi.org/10.1115/ipack2003-35060.

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IBM’s has recently introduced a high performance server that utilizes multichip modules that dissipate very high heat loads. Each multichip module consists of four microprocessor chips encased by a copper cap that serves to spread the heat load over an area of roughly 113 mm × 113 mm. The module is air cooled by a single aluminum alloy bonded-fin fan sink. For applications requiring the microprocessors to operate at higher frequencies, the aluminum heat sink, with its lower thermal conductivity, cannot provide sufficient cooling; therefore, a copper heat sink must be employed. However, copper

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Tehrani, Mehran, Masoud Safdari, Scott W. Case, and Marwan S. Al-Haik. "Using Multiscale Carbon Fiber/Carbon Nanotubes Composites for Damping Applications." In ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2011. http://dx.doi.org/10.1115/smasis2011-5087.

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A novel technique to grow carbon nanotubes (CNTs) on the surface of carbon fibers in a controlled fashion using simple lab set up is developed. Growing CNTs on the surface of carbon fibers will eliminate the problem of dispersion of CNTs in polymeric matrices. The employed synthesis technique retains the attractive feature of uniform distribution of the grown CNTs, low temperature of CNTs’ formation, i.e. 550 °C, via cheap and safe synthesis setup and catalysts. A protective thermal shield of thin ceramic layer and subsequently nickel catalytic particles are deposited on the surface of the car

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10

Ahuja, Suresh. "Effect of Additive on Hardness and Brittleness in Polycarbonate Films." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-42728.

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Hardness and modulus of a polymer composite is known to depend on its structure, molecular weight, number of segments between entanglements and additives (filler). Nano-indentation is used increasingly as a powerful tool to determine hardness and visco-elastic modulus of polymer surfaces linear, cross-linked or composites. Hysitron Nanoindenter was used in our investigation of contact deformation of surfaces of filled polycarbonates supported on aluminum substrate. Bar coatings of polymer films were made from solution and dried all at 110C for half an hour. The results show that filled polycar

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