Results 11 to 20 of about 3,483,162 (228)
Cohomology of nonabelian embedding tensors on Hom-Lie algebras
AIMS Mathematics, 2023 In this paper, we generalize known results of nonabelian embedding tensor to the Hom setting. We introduce the concept of Hom-Leibniz-Lie algebra, which is the basic algebraic structure of nonabelian embedded tensors on Hom-Lie algebras and can also be ...
Wen Teng , Jiulin Jin, Yu Zhang
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Lie Group Equivariant Convolutional Neural Network Based on Laplace Distribution
Remote Sensing, 2023 Traditional convolutional neural networks (CNNs) lack equivariance for transformations such as rotation and scaling. Consequently, they typically exhibit weak robustness when an input image undergoes generic transformations.
Dengfeng Liao, Guangzhong Liu
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Symmetry-resolved entanglement entropy in Wess-Zumino-Witten models
Journal of High Energy Physics, 2021 We consider the problem of the decomposition of the Rényi entanglement entropies in theories with a non-abelian symmetry by doing a thorough analysis of Wess-Zumino-Witten (WZW) models.
Pasquale Calabrese +2 more
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An Invitation to Higher Gauge Theory [PDF]
, 2010 In this easy introduction to higher gauge theory, we describe parallel transport for particles and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory involves a gauge group, this generalization involves a gauge '2-group'.
A. Ashtekar +58 more
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Advances in Linear Algebra & Matrix Theory, 2021 In this paper, the most important liner groups are classified. Those that we often have the opportunity to meet when studying linear groups as well as their application in left groups. In addition to the introductory part, we have general linear groups, special linear groups, octagonal groups, symplicit groups, cyclic groups, dihedral groups ...
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Semibounded representations and invariant cones in infinite dimensional Lie algebras [PDF]
, 2009 A unitary representation of a, possibly infinite dimensional, Lie group $G$ is called semi-bounded if the corresponding operators $i\dd\pi(x)$ from the derived representations are uniformly bounded from above on some non-empty open subset of the Lie ...
Neeb, Karl-Hermann
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On Analytic Vectors for Unitary Representations of Infinite Dimensional Lie Groups [PDF]
, 2010 Let $G$ be a 1-connected Banach-Lie group or, more generally, a BCH--Lie group. On the complex enveloping algebra $U_\C(\g)$ of its Lie algebra $\g$ we define the concept of an analytic functional and show that every positive analytic functional $\lambda$
Neeb, Karl-Hermann
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Computing Multiplicities of Lie Group Representations [PDF]
2012 IEEE 53rd Annual Symposium on Foundations of Computer Science, 2012 For fixed compact connected Lie groups H \subseteq G, we provide a polynomial time algorithm to compute the multiplicity of a given irreducible representation of H in the restriction of an irreducible representation of G. Our algorithm is based on a finite difference formula which makes the multiplicities amenable to Barvinok's algorithm for counting ...
Christandl Matthias +2 more
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Yang-Yang functions, monodromy and knot polynomials
Journal of High Energy Physics, 2021 We derive a structure of ℤ[t, t −1]-module bundle from a family of Yang-Yang functions. For the fundamental representation of the complex simple Lie algebra of classical type, we give explicit wall-crossing formula and prove that the monodromy ...
Peng Liu, Wei-Dong Ruan
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On Sobolev norms for Lie group representations [PDF]
Journal of Functional Analysis, 2021 10 pages, to appear in Journal of Functional ...
Heiko Gimperlein, Bernhard Krötz
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