Results 31 to 40 of about 1,034,541 (233)
Double cyclotomic symmetric groups
Journal of Algebra, 2005 This paper considers the structure and representation theory of certain finite dimensional quotients \(H_r\) of the toroidal symmetric groups. The authors prove that \(H_r\) is a cellular algebra by constructing a cellular basis for \(H_r\). Permutation modules and corresponding endomorphism algebras for \(H_r\) are also studied.
Rui, Hebing, Wang, Xin
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Pseudo-Permutations II: Geometry and Representation Theory [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 In this paper, we provide the second part of the study of the pseudo-permutations. We first derive a complete analysis of the pseudo-permutations, based on hyperplane arrangements, generalizing the usual way of translating the permutations. We then study
François Boulier +3 more
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The graphic nature of the symmetric group [PDF]
, 2013 We investigate a remarkable class of exponential sums which are derived from the symmetric groups and which display a diverse array of visually appealing features.
Brumbaugh, J. L. +5 more
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On the separation of eigenvalues by the permutation group
Special Matrices, 2014 Let A be an invertible 3 × 3 complex matrix. It is shown that there is a 3 × 3 permutation matrix P such that the product PA has at least two distinct eigenvalues.
Cigler Grega, Jerman Marjan
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Words and polynomial invariants of finite groups in non-commutative variables [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Let $V$ be a complex vector space with basis $\{x_1,x_2,\ldots,x_n\}$ and $G$ be a finite subgroup of $GL(V)$. The tensor algebra $T(V)$ over the complex is isomorphic to the polynomials in the non-commutative variables $x_1, x_2, \ldots, x_n$ with ...
Anouk Bergeron-Brlek +2 more
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GENERATING INFINITE SYMMETRIC GROUPS [PDF]
Bulletin of the London Mathematical Society, 2006 Let S=Sym( ) be the group of all permutations of an infinite set . Extending an argument of Macpherson and Neumann, it is shown that if U is a generating set for S as a group, respectively as a monoid, then there exists a positive integer n such that every element of S may be written as a group word, respectively a monoid word, of length \leq n in ...
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On symmetric units in group algebras
, 2000 Let $U(KG)$ be the group of units of the group ring $KG$ of the group $G$ over a commutative ring $K$. The anti-automorphism $g\mapsto g\m1$ of $G$ can be extended linearly to an anti-automorphism $a\mapsto a^*$ of $KG$. Let $S_*(KG)=\{x\in U(KG) \mid x^*
Bovdi, Victor
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Branching rules in the ring of superclass functions of unipotent upper-triangular matrices [PDF]
, 2008 It is becoming increasingly clear that the supercharacter theory of the finite group of unipotent upper-triangular matrices has a rich combinatorial structure built on set-partitions that is analogous to the partition combinatorics of the classical ...
Thiem, Nathaniel
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On double cosets with the trivial intersection property and Kazhdan-Lusztig cells in S n [PDF]
International Journal of Group Theory, 2015 For a composition λ of n our aim is to obtain reduced forms for all the elements in the Kazhdan-Lusztig (right) cell containing w J(λ) , the longest element of the standard parabolic subgroup of S n corresponding to λ .
Thomas P. McDonough +1 more
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Kronecker coefficients: the tensor square conjecture and unimodality [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We consider two aspects of Kronecker coefficients in the directions of representation theory and combinatorics. We consider a conjecture of Jan Saxl stating that the tensor square of the $S_n$-irreducible representation indexed by the staircase partition
Igor Pak, Greta Panova, Ernesto Vallejo
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