Relevant bibliographies by topics / Non-commutative symmetry

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Non-commutative symmetry'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Non-commutative symmetry"

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Scholtz, F. G., P. H. Williams, and J. N. Kriel. "Commutative–non-commutative dualities." Canadian Journal of Physics 98, no. 2 (2020): 158–66. http://dx.doi.org/10.1139/cjp-2018-0887.

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We show that it is in principle possible to construct dualities between commutative and non-commutative theories in a systematic way. This construction exploits a generalization of the exact renormalization group equation (ERG). We apply this to the simple case of the Landau problem and then generalize it to the free and interacting non-canonical scalar field theory. This constructive approach offers the advantage of tracking the implementation of the Lorentz symmetry in the non-commutative dual theory. In principle, it allows for the construction of completely consistent non-commutative and n
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Hanlon, B. E., and G. C. Joshi. "BRS symmetry in Connes' non-commutative geometry." Journal of Physics A: Mathematical and General 28, no. 10 (1995): 2889–904. http://dx.doi.org/10.1088/0305-4470/28/10/018.

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Zhang, P. M., P. A. Horváthy, and J. P. Ngome. "Non-commutative oscillator with Kepler-type dynamical symmetry." Physics Letters A 374, no. 42 (2010): 4275–78. http://dx.doi.org/10.1016/j.physleta.2010.08.054.

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Chen, Heng, Guanyu Li, Yunhao Sun, and Wei Jiang. "A quaternion-group knowledge graph embedding model." Journal of Intelligent & Fuzzy Systems 41, no. 1 (2021): 2459–68. http://dx.doi.org/10.3233/jifs-202546.

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Capturing the composite embedding representation of a multi-hop relation path is an extremely vital task in knowledge graph completion. Recently, rotation-based relation embedding models have been widely studied to embed composite relations into complex vector space. However, these models make some over-simplified assumptions on the composite relations, resulting the relations to be commutative. To tackle this problem, this paper proposes a novel knowledge graph embedding model, named QuatGE, which can provide sufficient modeling capabilities for complex composite relations. In particular, our
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KOBAYASHI, YOSHISHIGE, and SHIN SASAKI. "LORENTZ INVARIANT AND SUPERSYMMETRIC INTERPRETATION OF NONCOMMUTATIVE QUANTUM FIELD THEORY." International Journal of Modern Physics A 20, no. 30 (2005): 7175–88. http://dx.doi.org/10.1142/s0217751x05022421.

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In this paper, using a Hopf-algebraic method, we construct deformed Poincaré SUSY algebra in terms of twisted (Hopf) algebra. By adapting this twist deformed super-Poincaré algebra as our fundamental symmetry, we can see the consistency between the algebra and non(anti)commutative relation among (super)coordinates and interpret that symmetry of non(anti)commutative QFT is in fact twisted one. The key point is validity of our new twist element that guarantees non(anti)commutativity of space. It is checked in this paper for [Formula: see text] case. We also comment on the possibility of noncommu
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Bishop, Michael, Daniel Hooker, Peter Martin, and Douglas Singleton. "GUP, Lorentz Invariance (Non)-Violation, and Non-Commutative Geometry." Symmetry 17, no. 6 (2025): 923. https://doi.org/10.3390/sym17060923.

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In this work, we formulate a generalized uncertainty principle with both position and momentum operators modified from their canonical forms. We study whether Lorentz symmetry is violated and whether it can be saved with these modifications. The requirement that Lorentz invariance is not violated places restrictions on the way the position and momentum operators can be modified. We also investigate the connection between general uncertainty principle and non-commutative geometry models, e.g., laying out the connection between area/area operators and angular momentum in both models.
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Sevenheck, Christian. "Mirror Symmetry, Singularity Theory and Non-commutative Hodge Structures." Jahresbericht der Deutschen Mathematiker-Vereinigung 114, no. 3 (2012): 131–62. http://dx.doi.org/10.1365/s13291-012-0049-8.

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Giri, Pulak Ranjan, and P. Roy. "The non-commutative oscillator, symmetry and the Landau problem." European Physical Journal C 57, no. 4 (2008): 835–39. http://dx.doi.org/10.1140/epjc/s10052-008-0705-4.

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Kang, Li, and Dulat Sayipjamal. "Non-commutative phase space and its space-time symmetry." Chinese Physics C 34, no. 7 (2010): 944–48. http://dx.doi.org/10.1088/1674-1137/34/7/003.

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Abe, Yasumi, Rabin Banerjee, and Izumi Tsutsui. "Duality symmetry and plane waves in non-commutative electrodynamics." Physics Letters B 573 (October 2003): 248–54. http://dx.doi.org/10.1016/j.physletb.2003.08.057.

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Dissertations / Theses on the topic "Non-commutative symmetry"

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Gilliers, Nicolas. "Non-commutative gauge symmetry and pseudo-unitary diffusions." Thesis, Sorbonne université, 2019. http://www.theses.fr/2019SORUS113.

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Cette thèse est consacrée à l’étude de deux questions très différentes, reliées par les outils que nous utilisons pour les étudier. La première question est celle de la définition des théories de jauge sur un réseau avec un groupe de structure non commutatif. Ici, non commutatif ne signifie pas non Abelian, mais plutôt non commutatif au sens général de la géométrie non commutative. La deuxième question est celle du comportement des diffusions Browniennes sur des groupes matriciels non compacts d’un type spécifique, à savoir des groupes de matrices pseudo-orthogonales, pseudo-unitaires ou pseud
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Chassaniol, Arthur. "Contributions à l'étude des groupes quantiques de permutations." Thesis, Clermont-Ferrand 2, 2016. http://www.theses.fr/2016CLF22709/document.

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Dans cette thèse nous étudions le groupe quantique d’automorphismes des graphes finis, introduit par Banica et Bichon. Dans un premier temps nous montrerons un théorème de structure du groupe quantique d’automorphismes du produit lexicographique de deux graphes finis réguliers, qui généralise un résultat classique de Sabidussi. Ce théorème donne une condition nécessaire et suffisante pour que ce groupe quantique s’exprime comme le produit en couronne libre des groupes quantiques d’automorphismes de ces deux graphes. Dans un deuxième temps, nous expliciterons certaines améliorations de résultat
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Malik, Amin. "Some non commutative topics related to symmetric spaces." Doctoral thesis, Universite Libre de Bruxelles, 2010. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/241304.

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Tedesco, Daniel Guimarães. "Um estudo sobre a teoria de campos no espaço-tempo não comutativo." Universidade do Estado do Rio de Janeiro, 2010. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=8859.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>Os aspectos quânticos de teorias de campo formuladas no espaço-tempo não comutativo têm sido amplamente estudados ao longo dos anos. Um dos principais aspectos é o que na literatura ficou conhecido como mixing IR/UV. Trata-se de uma mistura das divergências, que foi vista pela primeira vez no trabalho de Minwalla et al [28], onde num estudo do campo escalar não comutativo com interação quártica vemos já a 1 loop que o tadpole tem uma divergência UV associada a sua parte planar e, junto com ela, temos uma divergência IR associada c
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Moreira, Rodriguez Rivera Walter. "Products of representations of the symmetric group and non-commutative versions." Texas A&M University, 2008. http://hdl.handle.net/1969.1/85938.

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We construct a new operation among representations of the symmetric group that interpolates between the classical internal and external products, which are defined in terms of tensor product and induction of representations. Following Malvenuto and Reutenauer, we pass from symmetric functions to non-commutative symmetric functions and from there to the algebra of permutations in order to relate the internal and external products to the composition and convolution of linear endomorphisms of the tensor algebra. The new product we construct corresponds to the Heisenberg product of endomorphisms o
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Candau, Marion. "Codes correcteurs d'erreurs convolutifs non commutatifs." Thesis, Brest, 2014. http://www.theses.fr/2014BRES0050/document.

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Un code correcteur d'erreur ajoute de la redondance à un message afin de pouvoir corriger celui-ci lorsque des erreurs se sont introduites pendant la transmission. Les codes convolutifs sont des codes performants, et par conséquent, souvent utilisés. Le principe d'un code convolutif consiste à se fixer une fonction de transfert définie sur le groupe des entiers relatifs et à effectuer la convolution d'un message avec cette fonction de transfert. Ces codes ne protègent pas le message d'une interception par une tierce personne. C'est pourquoi nous proposons dans cette thèse, des codes convolutif
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Book chapters on the topic "Non-commutative symmetry"

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Coquereaux, R. "Yang Mills fields and symmetry breaking: From Lie super-algebras to non commutative geometry." In Groups and Related Topics. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-2801-8_10.

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Nakamura, Hiroaki, and Densuke Shiraishi. "Landen’s Trilogarithm Functional Equation and $$\ell $$-Adic Galois Multiple Polylogarithms." In Springer Proceedings in Mathematics & Statistics. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-97-3778-9_8.

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Abstract The Galois action on the pro- $$\ell $$ ℓ étale fundamental groupoid of the projective line minus three points with rational base points gives rise to a non-commutative formal power series in two variables with $$\ell $$ ℓ -adic coefficients, called the $$\ell $$ ℓ -adic Galois associator. In the present paper, we focus on how Landen’s functional equation of trilogarithms and its $$\ell $$ ℓ -adic Galois analog can be derived algebraically from the $$S_3$$ S 3 -symmetry of the projective line minus three points. Twofold proofs of the functional equation will be presented, one is based
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Muhumuza, Asaph Keikara, Karl Lundengård, Anatoliy Malyarenko, Sergei Silvestrov, John Magero Mango, and Godwin Kakuba. "The Wishart Distribution on Symmetric Cones." In Non-commutative and Non-associative Algebra and Analysis Structures. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-32009-5_23.

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Orloff, Jeremy. "Orbital integrals on symmetric spaces." In Non-Commutative Harmonic Analysis and Lie Groups. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0073024.

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Bezuglyi, Sergey, and Palle E. T. Jorgensen. "Symmetric Measures, Continuous Networks, and Dynamics." In New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76473-9_6.

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Dodds, Peter G., and Ben de Pagter. "Non-commutative Yosida-Hewitt Theorems and Singular Functionals in Symmetric Spaces of τ-measurable Operators." In Vector Measures, Integration and Related Topics. Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-0346-0211-2_17.

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Lambek, Joachim. "From Categorial Grammar to Bilinear Logic." In Substructural Logics. Oxford University PressOxford, 1993. http://dx.doi.org/10.1093/oso/9780198537779.003.0008.

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Abstract The syntactic calculus, also known as ‘ bidirectional categorial grammar’, is a kind of logic without any structural rules, other than the obligatory reflexive law and cut-rule. It had been inspired by multilinear algebra and non-commutative ring theory and was developed with applications to linguistics in mind. Here we shall confine attention to the associative version, although a non-associative version has also been studied [L 1961, Kandulski 1988, Došen 1988, 1989]. It differs from a very rudimentary form of Girard’s linear logic [Girard 1987, 1989] by the absence of the interchan
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Conference papers on the topic "Non-commutative symmetry"

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Castorina, Paolo. "Symmetry breaking in non-commutative cut-off field theories." In QUARK CONFINEMENT AND THE HADRON SPECTRUM VI: 6th Conference on Quark Confinement and the Hadron Spectrum - QCHS 2004. AIP, 2005. http://dx.doi.org/10.1063/1.1921025.

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Arzano, Michele. "Anatomy of a deformed symmetry field quantization on curved momentum space." In Corfu Summer Institute on Elementary Particles and Physics - Workshop on Non Commutative Field Theory and Gravity. Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.127.0007.

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