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Centralizers of the infinite symmetric group [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We review and introduce several approaches to the study of centralizer algebras of the infinite symmetric group $S_{\infty}$. Our work is led by the double commutant relationship between finite symmetric groups and partition algebras; in the case of $S_{\
Zajj Daugherty, Peter Herbrich
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Permutation-Based Distances for Groups and Group-Valued Time Series [PDF]
EntropyPermutations on a set, endowed with function composition, build a group called a symmetric group. In addition to their algebraic structure, symmetric groups have two metrics that are of particular interest to us here: the Cayley distance and the Kendall ...
José M. Amigó, Roberto Dale
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Discrete Mathematics & Theoretical Computer Science, 2004 Motivated by the Coxeter complex associated to a Coxeter system (W,S), we introduce a simplicial regular cell complex Δ(G,S) with a G-action associated to any pair (G,S) where G is a group and S is a finite set of generators for G which is ...
Eric Babson, Victor Reiner
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Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020 Matrix representations of finite semigroups over fields are studied not so well as for finite groups. Representations of finite groups over fields are studied sufficiently well; in particular, the criterions of representation type are fully defined for ...
В. М. Бондаренко +1 more
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Fermion mass hierarchies, large lepton mixing and residual modular symmetries
Journal of High Energy Physics, 2021 In modular-invariant models of flavour, hierarchical fermion mass matrices may arise solely due to the proximity of the modulus τ to a point of residual symmetry.
P. P. Novichkov +2 more
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The large N limit of SU(N) integrals in lattice models
Nuclear Physics B, 2020 The standard U(N) and SU(N) integrals are calculated in the large N limit. Our main finding is that for an important class of integrals this limit is different for two groups. We describe the critical behaviour of SU(N) models and discuss implications of
O. Borisenko, V. Chelnokov, S. Voloshyn
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On the irreducibility of symmetrizations of cross-characteristic representations of finite classical groups [PDF]
Journal of Pure and Applied Algebra, 2013 Let $W$ be a vector space over an algebraically closed field $k$. Let $H$ be a quasisimple group of Lie type of characteristic $p\ne {\rm char}(k)$ acting irreducibly on $W$. Suppose also that $G$ is a classical group with natural module $W$, chosen minimally with respect to containing the image of $H$ under the associated representation.
Magaard Kay +2 more
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Journal of High Energy Physics, 2023 We undertake a systematic study of the 4-dimensional SU(N) 2-index chiral gauge theories and investigate their faithful global symmetries and dynamics.
Mohamed M. Anber, Samson Y. L. Chan
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Derived Picard groups of symmetric representation-finite algebras of type $D$
, 2021 We explicitly describe the derived Picard groups of symmetric representation-finite algebras of type $D$. In particular, we prove that these groups are generated by spherical twists along collections of $0$-spherical objects, the shift and autoequivalences which come from outer automorphisms of a particular representative of the derived equivalence ...
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Symmetric representation of the elements of finite groups
, 2006 Many finite groups, including all finite non-abelian simple groups, can be symmetrically generated by involutions. In this paper we give an algorithm to symmetrically represent elements of finite groups and to transform symmetrically represented elements in terms of their permutation representation.
Hasan, Z., Kasouha, A.
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