Results 11 to 20 of about 1,008,178 (322)
Symmetric group characters as symmetric functions [PDF]
Advances in Mathematics, 2021 35 pages; this is the more complete version of arXiv:1510.00438; v5 differs from previous versions with minor edits and the addition of an appendix about using Sagemath to do computations with these bases (this appendix does not appear in the published journal version)
Mike Zabrocki, Rosa Orellana
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Combinatorial Gelfand Models [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 A combinatorial construction of Gelfand models for the symmetric group, for its Iwahori-Hecke algebra and for the hyperoctahedral group is presented.
Ron M. Adin +2 more
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Minimal Factorizations of Permutations into Star Transpositions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We give a compact expression for the number of factorizations of any permutation into a minimal number of transpositions of the form $(1 i)$. Our result generalizes earlier work of Pak ($\textit{Reduced decompositions of permutations in terms of star ...
J. Irving, A. Rattan
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The Bruhat order on conjugation-invariant sets of involutions in the symmetric group [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 12 pages, 3 ...
Mikael Hansson
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Long Cycle Factorizations: Bijective Computation in the General Case [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 This paper is devoted to the computation of the number of ordered factorizations of a long cycle in the symmetric group where the number of factors is arbitrary and the cycle structure of the factors is given. Jackson (1988) derived the first closed form
Ekaterina A. Vassilieva
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NeutroAlgebra of Idempotents in Group Rings [PDF]
Neutrosophic Sets and Systems, 2022 In this paper, the authors study the new concept of NeutroAlgebra of idempotents in group rings. It is assumed that RG is the group ring of a group G over the ring R. R should be a commutative ring with unit 1.
Vasantha Kandasamy +1 more
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The Characters of the Symmetric Group [PDF]
American Journal of Mathematics, 1937 A short and simple derivation of the formula of Frobenius, which gives the dimensions of the irreducible representations of S n , the symmetric group on any number, n , of symbols, is given.
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The $m$-Cover Posets and the Strip-Decomposition of $m$-Dyck Paths [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 In the first part of this article we present a realization of the $m$-Tamari lattice $\mathcal{T}_n^{(m)}$ in terms of $m$-tuples of Dyck paths of height $n$, equipped with componentwise rotation order. For that, we define the $m$-cover poset $\mathcal{P}
Myrto Kallipoliti, Henri Mühle
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A preorder-free construction of the Kazhdan-Lusztig representations of $S_n$, with connections to the Clausen representations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 We use the polynomial ring $\mathbb{C}[x_{1,1},\ldots,x_{n,n}]$ to modify the Kazhdan-Lusztig construction of irreducible $S_n$-modules. This modified construction produces exactly the same matrices as the original construction in [$\textit{Invent. Math}$
Charles Buehrle, Mark Skandera
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Symmetric groups and expanders [PDF]
Electronic Research Announcements of the American Mathematical Society, 2005 We construct explicit generating sets F n F_n and F ~ n \tilde F_n of the alternating and the symmetric groups, which turn the Cayley graphs C ( A l t (
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