Results 71 to 80 of about 1,532 (216)
Non-Abelian symmetry-resolved entanglement entropy
SciPost PhysicsWe introduce a mathematical framework for symmetry-resolved entanglement entropy with a non-Abelian symmetry group. To obtain a reduced density matrix that is block-diagonal in the non-Abelian charges, we define subsystems operationally in terms of ...
Eugenio Bianchi, Pietro Dona, Rishabh Kumar
doaj +1 more source
On the Euler characteristic of S$S$‐arithmetic groups
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley +1 more source
Orthogonality within the Families of C-, S-, and E-Functions of Any Compact Semisimple Lie Group
Symmetry, Integrability and Geometry: Methods and Applications, 2006 The paper is about methods of discrete Fourier analysis in the context of Weyl group symmetry. Three families of class functions are defined on the maximal torus of each compact simply connected semisimple Lie group $G$.
Robert V. Moody, Jiri Patera
doaj
Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan +2 more
wiley +1 more source
Automorphisms and twisted vertex operators [PDF]
, 1987 This work is an examination of various aspects of twisted vertex operator representations of Kac-Moody algebras. It starts with an introduction to Kac-Moody algebras and string theories, including a discussion of the propagation of strings on orbifolds ...
Myhill, R.G, Myhill, Richard Graham
core
On the intersections of nilpotent subgroups in simple groups
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract Let G$G$ be a finite group and let Hp$H_p$ be a Sylow p$p$‐subgroup of G$G$. A recent conjecture of Lisi and Sabatini asserts the existence of an element x∈G$x \in G$ such that Hp∩Hpx$H_p \cap H_p^x$ is inclusion‐minimal in the set {Hp∩Hpg:g∈G}$\lbrace H_p \cap H_p^g \,:\, g \in G\rbrace$ for every prime p$p$.
Timothy C. Burness, Hong Yi Huang
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Multiplicative Invariants and the Finite Co-Hopfian Property
, 2009 A group is said to be, finitely co-Hopfian when it contains no proper subgroup of finite index isomorphic to itself. It is known that irreducible lattices in semisimple Lie groups are finitely co-Hopfian.
Humphreys, JJAM, Johnson, FEA
core
Some combinatorial identities related to commuting varieties and Hilbert schemes [PDF]
, 2011 In this article we explore some of the combinatorial consequences of recent results relating the isospectral commuting variety and the Hilbert scheme of points in the ...
Ginzburg, V. +3 more
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Aluthge iteration in semisimple Lie group
, 2010 We extend, in the context of connected noncompact semisimple Lie group, two results of Antezana, Massey, and Stojanoff: Given ...
Tam, Tin-Yau, Huang, Huajun
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A Method for Weight Multiplicity Computation Based on Berezin Quantization
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Let G be a compact semisimple Lie group and T be a maximal torus of G. We describe a method for weight multiplicity computation in unitary irreducible representations of G, based on the theory of Berezin quantization on G/T.
David Bar-Moshe
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