Results 1 to 10 of about 574 (29)
Forum of Mathematics, Sigma, 2023 We introduce a new class of permutations, called web permutations. Using these permutations, we provide a combinatorial interpretation for entries of the transition matrix between the Specht and $\operatorname {SL}_2$ -web bases of the irreducible
Byung-Hak Hwang +2 more
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Hodge-Deligne polynomials of character varieties of free abelian groups
Open Mathematics, 2021 Let FF be a finite group and XX be a complex quasi-projective FF-variety. For r∈Nr\in {\mathbb{N}}, we consider the mixed Hodge-Deligne polynomials of quotients Xr/F{X}^{r}\hspace{-0.15em}\text{/}\hspace{-0.08em}F, where FF acts diagonally, and compute ...
Florentino Carlos, Silva Jaime
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A note on the signature representations of the symmetric groups
, 2020 For a partition {\lambda} and a prime p, we prove a necessary and sufficient condition for there exists a composition {\delta} such that {\delta} can be obtained from {\lambda} after rearrangement and all the partial sums of {\delta} are not divisible by
Lim, Kay Jin, Wang, Jialin
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On graded decomposition numbers for cyclotomic Hecke algebras in quantum characteristic 2 [PDF]
, 2014 Brundan and Kleshchev introduced graded decomposition numbers for representations of cyclotomic Hecke algebras of type $A$, which include group algebras of symmetric groups.
Evseev, Anton
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A Spin Analogue of Kerov Polynomials [PDF]
, 2018 Kerov polynomials describe normalized irreducible characters of the symmetric groups in terms of the free cumulants associated with Young diagrams.
Matsumoto, Sho
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The Saxl Conjecture and the Dominance Order [PDF]
, 2015 In 2012 Jan Saxl conjectured that all irreducible representations of the symmetric group occur in the decomposition of the tensor square of the irreducible representation corresponding to the staircase partition.
Ikenmeyer, Christian
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Restriction of Odd Degree Characters of $\mathfrak{S}_n$ [PDF]
, 2017 Let $n$ and $k$ be natural numbers such that $2^k < n$. We study the restriction to $\mathfrak{S}_{n-2^k}$ of odd-degree irreducible characters of the symmetric group $\mathfrak{S}_n$.
Bessenrodt, Christine +2 more
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A note on the Grothendieck ring of the symmetric group [PDF]
, 2005 Let $p$ be a prime number and let $n$ be a non-zero natural number. We compute the descending Loewy series of the algebra $R\_n/pR\_n$, where $R\_n$ denotes the ring of virtual ordinary characters of the symmetric group $S\_n$.Comment: 5 ...
Bonnafé, Cédric
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An update on Haiman’s conjectures
Forum of Mathematics, SigmaWe revisit Haiman’s conjecture on the relations between characters of Kazdhan–Lusztig basis elements of the Hecke algebra over $S_n$ . The conjecture asserts that, for purposes of character evaluation, any Kazhdan–Lusztig basis element is reducible
Alex Corrêa Abreu, Antonio Nigro
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Splines on Cayley graphs of the symmetric group
Forum of Mathematics, SigmaA spline is an assignment of polynomials to the vertices of a graph whose edges are labeled by ideals, where the difference of two polynomials labeling adjacent vertices must belong to the corresponding ideal. The set of splines forms a ring. We consider
Nathan R. T. Lesnevich
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