Zobrazeno 1 - 10
of 178
pro vyhledávání: '"Bessenrodt, Christine"'
Splitting Kronecker squares, 2-decomposition numbers, Catalan Combinatorics, and the Saxl conjecture
Autor:
Bessenrodt, Christine, Bowman, Chris
While there has been some progress on the decomposition of Kronecker products of characters of the symmetric groups in recent times, results on the symmetric and alternating part of Kronecker squares are still scarce. Here, new results (and conjectur
Externí odkaz:
http://arxiv.org/abs/2202.03066
We classify and construct all multiplicity-free plethystic products of Schur functions. We also compute many new (infinite) families of plethysm coefficients, with particular emphasis on those near maximal in the dominance ordering and those of small
Externí odkaz:
http://arxiv.org/abs/2001.08763
The paper is concerned with the character theory of finite groups of Lie type. The irreducible characters of a group $G$ of Lie type are partitioned in Lusztig series. We provide a simple formula for an upper bound of the maximal size of a Lusztig se
Externí odkaz:
http://arxiv.org/abs/1906.11294
Autor:
Bessenrodt, Christine, Yang, Yong
Let $G$ be a finite group, $p$ a prime, and $IBr_p(G)$ the set of irreducible $p$-Brauer characters of $G$. Let $\bar e_p(G)$ be the largest integer such that $p^{\bar e_p(G)}$ divides $\chi(1)$ for some $\chi \in IBr_p(G)$. We show that $|G:O_p(G)|_
Externí odkaz:
http://arxiv.org/abs/1804.08241
In this article we consider hook removal operators on odd partitions, i.e., partitions labelling odd-degree irreducible characters of finite symmetric groups. In particular we complete the discussion, started by Isaacs, Navarro, Olsson and Tiep in 20
Externí odkaz:
http://arxiv.org/abs/1711.08908
Publikováno v:
SIGMA 13 (2017), 070, 10 pages
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 $\mathfrak{S}_n$. This analysis completes the study begun in [Ayyer A., Prasad A.,
Externí odkaz:
http://arxiv.org/abs/1705.08655
Autor:
Bessenrodt, Christine
Highlighting the use of critical classes, we consider constituents in Kronecker products, in particular of spin characters of the double covers of the symmetric and alternating groups. We apply results from the spin case to find constituents in Krone
Externí odkaz:
http://arxiv.org/abs/1704.00707
Autor:
Bessenrodt, Christine
Strongly refining results by Regev, Regev and Zeilberger, we prove surprising coincidences between characters to 2-part partitions of size n and characters to hooks of size n+2 on two related families obtained by extending 2-regular conjugacy classes
Externí odkaz:
http://arxiv.org/abs/1610.07299
We provide a classification of multiplicity-free inner tensor products of irreducible characters of symmetric groups, thus confirming a conjecture of Bessenrodt. Concurrently, we classify all multiplicity-free inner tensor products of skew characters
Externí odkaz:
http://arxiv.org/abs/1609.03596
Publikováno v:
Advances in Mathematics 315 (2017), 194-245
An $SL_2$-tiling is a bi-infinite matrix of positive integers such that each adjacent 2 by 2 submatrix has determinant 1. Such tilings are infinite analogues of Conway-Coxeter friezes, and they have strong links to cluster algebras, combinatorics, ma
Externí odkaz:
http://arxiv.org/abs/1603.09103