Results 1 to 10 of about 580 (36)
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
doaj +1 more source
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
doaj +1 more source
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
core +5 more sources
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
core +1 more source
The ring of multisymmetric functions [PDF]
, 2004 Let R be a commutative ring and let n,m be two positive integers. Let be the polynomial ring in m x n commuting independent variables R. The symmetric group on n letters acts diagonally on A(n,m).
Vaccarino, Francesco
core +4 more sources
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
core +1 more source
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
core +1 more source
Morita Equivalent Blocks of Symmetric Groups [PDF]
, 2018 A well-known result of Scopes states that there are only finitely many Morita equivalence classes of $p$-blocks of symmetric groups with a given weight (or defect).
Sambale, Benjamin
core +3 more sources
A combinatorial realization of Schur-Weyl duality via crystal graphs and dual equivalence graphs [PDF]
, 2008 For any polynomial representation of the special linear group, the nodes of the corresponding crystal may be indexed by semi-standard Young tableaux. Under certain conditions, the standard Young tableaux occur, and do so with weight 0.
Assaf, Sami
core +3 more sources
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
core +3 more sources