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Relevant bibliographies by topics / Lie groups

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Academic literature on the topic 'Lie groups'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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Journal articles on the topic "Lie groups"

1

Hiraga, Kaoru. "Lie groups." Duke Mathematical Journal 85, no. 1 (1996): 167–81. http://dx.doi.org/10.1215/s0012-7094-96-08507-5.

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Alekseevskii, D. V. "Lie groups." Journal of Soviet Mathematics 28, no. 6 (1985): 924–49. http://dx.doi.org/10.1007/bf02105458.

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Ni, Xiang, and Chengming Bai. "Special symplectic Lie groups and hypersymplectic Lie groups." manuscripta mathematica 133, no. 3-4 (2010): 373–408. http://dx.doi.org/10.1007/s00229-010-0375-z.

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HOFMANN, K. H., and K. H. NEEB. "Pro-Lie groups which are infinite-dimensional Lie groups." Mathematical Proceedings of the Cambridge Philosophical Society 146, no. 2 (2009): 351–78. http://dx.doi.org/10.1017/s030500410800128x.

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AbstractA pro-Lie group is a projective limit of a family of finite-dimensional Lie groups. In this paper we show that a pro-Lie group G is a Lie group in the sense that its topology is compatible with a smooth manifold structure for which the group operations are smooth if and only if G is locally contractible. We also characterize the corresponding pro-Lie algebras in various ways. Furthermore, we characterize those pro-Lie groups which are locally exponential, that is, they are Lie groups with a smooth exponential function which maps a zero neighbourhood in the Lie algebra diffeomorphically

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Wüstner, Michael. "Splittable Lie Groups and Lie Algebras." Journal of Algebra 226, no. 1 (2000): 202–15. http://dx.doi.org/10.1006/jabr.1999.8162.

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Fioresi, Rita, and Robert Yuncken. "Quantized semisimple Lie groups." Archivum Mathematicum, no. 5 (2024): 311–49. https://doi.org/10.5817/am2024-5-311.

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Hofmann, Karl H., Sidney A. Morris, and Markus Stroppel. "Locally compact groups, residual Lie groups, and varieties generated by Lie groups." Topology and its Applications 71, no. 1 (1996): 63–91. http://dx.doi.org/10.1016/0166-8641(95)00068-2.

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Howard, Eric. "Theory of groups and symmetries: Finite groups, Lie groups and Lie algebras." Contemporary Physics 60, no. 3 (2019): 275. http://dx.doi.org/10.1080/00107514.2019.1663933.

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Oğuz, Gülay, Ilhan Içen, and Gürsoy Habil. "Lie rough groups." Filomat 32, no. 16 (2018): 5735–41. http://dx.doi.org/10.2298/fil1816735o.

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This paper introduces the definition of a Lie rough group as a natural development of the concepts of a smooth manifold and a rough group on an approximation space. Furthermore, the properties of Lie rough groups are discussed. It is shown that every Lie rough group is a topological rough group, and that the product of two Lie rough groups is again a Lie rough group. We define the concepts of Lie rough subgroups and Lie rough normal subgroups. Finally, our aim is to give an example by using definition of Lie rough homomorphism sets G and H.

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Pressley, Andrew N. "LIE GROUPS AND ALGEBRAIC GROUPS." Bulletin of the London Mathematical Society 23, no. 6 (1991): 612–14. http://dx.doi.org/10.1112/blms/23.6.612b.

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Dissertations / Theses on the topic "Lie groups"

1

Eddy, Scott M. "Lie Groups and Lie Algebras." Youngstown State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1320152161.

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Ahluwalia, Kanwardeep Singh. "Lie bialgebras and Poisson lie groups." Thesis, University of Cambridge, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.388758.

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pl, tomasz@uci agh edu. "A Lie Group Structure on Strict Groups." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1076.ps.

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Harkins, Andrew. "Combining lattices of soluble lie groups." Thesis, University of Newcastle Upon Tyne, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.341777.

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Öhrnell, Carl. "Lie Groups and PDE." Thesis, Uppsala universitet, Analys och sannolikhetsteori, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-420706.

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Burroughs, Nigel John. "The quantisation of Lie groups and Lie algebras." Thesis, University of Cambridge, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358486.

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Krook, Jonathan. "Overview of Lie Groups and Their Lie Algebras." Thesis, KTH, Skolan för teknikvetenskap (SCI), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-275722.

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Intuitively, Lie groups are groups that are also smooth. The aim of this thesis is to describe how Lie groups are defined as smooth manifolds, and to look into their properties. To each Lie group there exists an associated vector space, which is called the Lie algebra of the Lie group. We will investigate what properties of a Lie group can be derived from its Lie algebra. As an application, we will characterise all unitary irreducible finite dimensional representations of the Lie group SO(3).<br>Liegrupper kan ses som grupper som även är glatta. Målet med den här rapporten är att definiera Lie

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Ray, Jishnu. "Iwasawa algebras for p-adic Lie groups and Galois groups." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLS189/document.

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Un outil clé dans la théorie des représentations p-adiques est l'algèbre d'Iwasawa, construit par Iwasawa pour étudier les nombres de classes d'une tour de corps de nombres. Pour un nombre premier p, l'algèbre d'Iwasawa d'un groupe de Lie p-adique G, est l'algèbre de groupe G complétée non-commutative. C'est aussi l'algèbre des mesures p-adiques sur G. Les objets provenant de groupes semi-simples, simplement connectés ont des présentations explicites comme la présentation par Serre des algèbres semi-simples et la présentation de groupe de Chevalley par Steinberg. Dans la partie I, nous donnons

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Jimenez, William. "Riemannian submersions and Lie groups." College Park, Md. : University of Maryland, 2005. http://hdl.handle.net/1903/2648.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2005.<br>Thesis research directed by: Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

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Hindeleh, Firas Y. "Tangent and Cotangent Bundles, Automorphism Groups and Representations of Lie Groups." University of Toledo / OhioLINK, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1153933389.

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Books on the topic "Lie groups"

1

Duistermaat, J. J. Lie groups. Springer, 2000.

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Duistermaat, J. J., and J. A. C. Kolk. Lie Groups. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-56936-4.

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Bump, Daniel. Lie Groups. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-8024-2.

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Bump, Daniel. Lie Groups. Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4757-4094-3.

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San Martin, Luiz A. B. Lie Groups. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-61824-7.

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Bourbaki, Nicolas. Lie Groups and Lie Algebras. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-540-89394-3.

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Komrakov, B. P., I. S. Krasil’shchik, G. L. Litvinov, and A. B. Sossinsky, eds. Lie Groups and Lie Algebras. Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5258-7.

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Serre, Jean-Pierre. Lie Algebras and Lie Groups. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-540-70634-2.

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Bourbaki, Nicolas. Lie groups and Lie algebras. Springer, 2004.

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Nicolas Bourbaki. Lie groups and Lie algebras. Springer-Verlag, 1989.

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Book chapters on the topic "Lie groups"

1

Duistermaat, J. J., and J. A. C. Kolk. "Lie Groups and Lie Algebras." In Lie Groups. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-56936-4_1.

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San Martin, Luiz A. B. "Lie Groups and Lie Algebras." In Lie Groups. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-61824-7_5.

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Jeevanjee, Nadir. "Groups, Lie Groups, and Lie Algebras." In An Introduction to Tensors and Group Theory for Physicists. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-14794-9_4.

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Jeevanjee, Nadir. "Groups, Lie Groups, and Lie Algebras." In An Introduction to Tensors and Group Theory for Physicists. Birkhäuser Boston, 2011. http://dx.doi.org/10.1007/978-0-8176-4715-5_4.

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Onishchik, Arkadij L., and Ernest B. Vinberg. "Lie Groups." In Lie Groups and Algebraic Groups. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-74334-4_1.

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Baker, Andrew. "Lie Groups." In Springer Undergraduate Mathematics Series. Springer London, 2002. http://dx.doi.org/10.1007/978-1-4471-0183-3_7.

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Sontz, Stephen Bruce. "Lie Groups." In Universitext. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-14765-9_7.

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Schneider, Peter. "Lie Groups." In Grundlehren der mathematischen Wissenschaften. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21147-8_3.

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Selig, J. M. "Lie Groups." In Monographs in Computer Science. Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4757-2484-4_2.

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Rudolph, Gerd, and Matthias Schmidt. "Lie Groups." In Theoretical and Mathematical Physics. Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-5345-7_5.

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Conference papers on the topic "Lie groups"

1

Harapanahalli, Akash, and Samuel Coogan. "Efficient Reachable Sets on Lie Groups Using Lie Algebra Monotonicity and Tangent Intervals." In 2024 IEEE 63rd Conference on Decision and Control (CDC). IEEE, 2024. https://doi.org/10.1109/cdc56724.2024.10886065.

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Solo, Victor. "Stratonovich, Ito and Numerical Analysis on Lie Groups." In 2024 IEEE 63rd Conference on Decision and Control (CDC). IEEE, 2024. https://doi.org/10.1109/cdc56724.2024.10886027.

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Bouch, Sara El, Samy Labsir, Alexandre Renaux, Jordi Vilà-Valls, and Eric Chaumette. "An Intrinsic Modified Cramér-Rao Bound on Lie Groups." In 2024 27th International Conference on Information Fusion (FUSION). IEEE, 2024. http://dx.doi.org/10.23919/fusion59988.2024.10706414.

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Lopez, Enzo, Karim Dahia, Nicolas Merlinge, Benedicte Winter-Bonnet, Alain Maschiella, and Christian Musso. "Sequential Markov Chain Monte Carlo methods on Matrix Lie Groups." In 2024 27th International Conference on Information Fusion (FUSION). IEEE, 2024. http://dx.doi.org/10.23919/fusion59988.2024.10706305.

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Bouch, Sara El, Samy Labsir, Alexandre Renaux, Jordi Vilà-Valis, and Eric Chaumette. "Full Slepian-Bangs Formula for Fisher Information on Lie Groups." In 2024 58th Asilomar Conference on Signals, Systems, and Computers. IEEE, 2024. https://doi.org/10.1109/ieeeconf60004.2024.10943026.

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Sarlette, Alain, Silvere Bonnabel, and Rodolphe Sepulchre. "Coordination on Lie groups." In 2008 47th IEEE Conference on Decision and Control. IEEE, 2008. http://dx.doi.org/10.1109/cdc.2008.4739201.

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Galaviz, Imelda. "Introductory Lectures on Lie Groups and Lie Algebras." In ADVANCED SUMMER SCHOOL IN PHYSICS 2005: Frontiers in Contemporary Physics EAV05. AIP, 2006. http://dx.doi.org/10.1063/1.2160969.

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Kawazoe, T., T. Oshima, and S. Sano. "Representation Theory of Lie Groups and Lie Algebras." In Fuji-Kawaguchiko Conference on Representation Theory of Lie Groups and Lie Algebras. WORLD SCIENTIFIC, 1992. http://dx.doi.org/10.1142/9789814537162.

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Chauchat, Paul, Axel Barrau, and Silvere Bonnabel. "Invariant smoothing on Lie Groups." In 2018 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). IEEE, 2018. http://dx.doi.org/10.1109/iros.2018.8594068.

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Aguilar, M. A. "Lie groups and differential geometry." In The XXX Latin American school of physics ELAF: Group theory and its applications. AIP, 1996. http://dx.doi.org/10.1063/1.50217.

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Reports on the topic "Lie groups"

1

Arvanitoyeorgos, Andreas. Lie Transformation Groups and Geometry. GIQ, 2012. http://dx.doi.org/10.7546/giq-9-2008-11-35.

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Axford, R. A. Construction of Difference Equations Using Lie Groups. Office of Scientific and Technical Information (OSTI), 1998. http://dx.doi.org/10.2172/1172.

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Gilmore, Robert. Relations Among Low-dimensional Simple Lie Groups. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-28-2012-1-45.

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Clubok, Kenneth Sherman. Conformal field theory on affine Lie groups. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/260974.

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Krishnaprasad, P. S., and Dimitris P. Tsakiris. G-Snakes: Nonholonomic Kinematic Chains on Lie Groups. Defense Technical Information Center, 1994. http://dx.doi.org/10.21236/ada453004.

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Cohen, Frederick R., Mentor Stafa, and V. Reiner. On Spaces of Commuting Elements in Lie Groups. Defense Technical Information Center, 2014. http://dx.doi.org/10.21236/ada606720.

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McHardy, James David, Elias Davis Clark, Joseph H. Schmidt, and Scott D. Ramsey. Lie groups of variable cross-section channel flow. Office of Scientific and Technical Information (OSTI), 2019. http://dx.doi.org/10.2172/1523203.

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Schmid, Rudolf. Infinite Dimentional Lie Groups With Applications to Mathematical Physics. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-1-2004-54-120.

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Ikawa, Osamu. Motion of Charged Particles in Two-Step Nilpotent Lie Groups. GIQ, 2012. http://dx.doi.org/10.7546/giq-12-2011-252-262.

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Bernatska, Julia. Geometry and Topology of Coadjoint Orbits of Semisimple Lie Groups. GIQ, 2012. http://dx.doi.org/10.7546/giq-9-2008-146-166.

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