Results 1 to 10 of about 106,966 (194)
An extension and a generalization of Dedekind's theorem [PDF]
International Journal of Group Theory, 2017 For any given finite abelian group, we give factorizations of the group determinant in the group algebra of any subgroups. The factorizations is an extension of Dedekind's theorem. The extension leads to a generalization of Dedekind's theorem.
Naoya Yamaguchi
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K-Groups of Trivial Extensions and Gluings of Abelian Categories [PDF]
Mathematics, 2021 This paper focuses on the Ki-groups of two types of extensions of abelian categories, which are the trivial extension and the gluing of abelian categories.
Qinghua Chen, Min Zheng
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On the CP exterior product of Lie algebras [PDF]
AUT Journal of Mathematics and Computing, 2023 In this paper, under certain conditions, we show that the non-abelian CP exterior product distributes over direct product of Lie algebras. Then we present some properties about CP extension of Lie algebras.
Zeinab Araghi Rostami
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Discrete theta angles, symmetries and anomalies
SciPost Physics, 2021 Gauge theories in various dimensions often admit discrete theta angles, that arise from gauging a global symmetry with an additional symmetry protected topological (SPT) phase.
Po-Shen Hsin, Ho Tat Lam
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Generalized Einstein gravities and generalized AdS symmetries
Nuclear Physics B, 2022 We consider the curvatures 2-form associated with AdSL4-valued one-form gauge connection, and then we construct a four-dimensional action that generalize the Einstein-Hilbert gravity.
L. Cárdenas +3 more
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The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras
Electronic Research Archive, 2022 The main purpose of this paper is to provide a full cohomology of a Hom-pre-Lie algebra with coefficients in a given representation. This new type of cohomology exploits strongly the Hom-type structure and fits perfectly with simultaneous deformations of
Shanshan Liu +2 more
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1-parameter formal deformations and abelian extensions of Lie color triple systems
Electronic Research Archive, 2022 The purpose of this paper is to discuss Lie color triple systems. The cohomology theory of Lie color triple systems is established, then 1-parameter formal deformations and abelian extensions of Lie color triple systems are studied using cohomology.
Qiang Li, Lili Ma
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Nijenhuis Operators and Abelian Extensions of Hom-δ-Jordan Lie Supertriple Systems
Mathematics, 2023 Representations and cohomologies of Hom-δ-Jordan Lie supertriple systems are established. As an application, Nijenhuis operators and abelian extensions of Hom-δ-Jordan Lie supertriple systems are discussed.
Qiang Li, Lili Ma
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Non-Abelian Gravitoelectromagnetism and Applications at Finite Temperature
Advances in High Energy Physics, 2020 Studies about a formal analogy between the gravitational and the electromagnetic fields lead to the notion of Gravitoelectromagnetism (GEM) to describe gravitation.
A. F. Santos, J. Ramos, Faqir C. Khanna
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Large $$N_\mathrm{f}$$ N f for multiple representations
European Physical Journal C: Particles and Fields, 2021 We present an extension of the large- $$N_\mathrm{f}$$ N f formalism that allows one to study cases with multiple fermion representations. The pole structure in the beta function is traced back to the intrinsic non-abelian nature of the gauge group ...
Giacomo Cacciapaglia, Shahram Vatani
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