Results 21 to 30 of about 580 (36)

A Note on Skew Characters of Symmetric Groups

, 2016
In previous work Regev used part of the representation theory of Lie superalgebras to compute the values of a character of the symmetric group whose decomposition into irreducible constituents is described by semistandard $(k,\ell)$-tableaux.
Taylor, Jay
core   +1 more source

Improved covering results for conjugacy classes of symmetric groups via hypercontractivity

Forum of Mathematics, Sigma
We study covering numbers of subsets of the symmetric group $S_n$ that exhibit closure under conjugation, known as normal sets. We show that for any $\epsilon>0$ , there exists $n_0$ such that if $n>n_0$ and A is a normal ...
Nathan Keller, Noam Lifshitz, Ohad Sheinfeld   +2 more
doaj   +1 more source

All Kronecker coefficients are reduced Kronecker coefficients

Forum of Mathematics, Pi
We settle the question of where exactly do the reduced Kronecker coefficients lie on the spectrum between the Littlewood-Richardson and Kronecker coefficients by showing that every Kronecker coefficient of the symmetric group is equal to a reduced ...
Christian Ikenmeyer, Greta Panova
doaj   +1 more source

Partitions which are p- and q-core [PDF]

, 2001
Let p and q be distinct primes, n an integer with n > p2q2. Then there is no partition of n which is at the same time p- and q-core.
Schlage-Puchta, Jan-Christoph
core  

Fourier analysis on finite groups and the Lov\'asz theta-number of Cayley graphs

, 2013
We apply Fourier analysis on finite groups to obtain simplified formulations for the Lov\'asz theta-number of a Cayley graph. We put these formulations to use by checking a few cases of a conjecture of Ellis, Friedgut, and Pilpel made in a recent article
de Laat, David, DeCorte, Evan, Vallentin, Frank   +2 more
core   +1 more source

Twisted immanant and matrices with anticommuting entries

, 2015
This article gives a new matrix function named "twisted immanant," which can be regarded as an analogue of the immanant. This is defined for each self-conjugate partition through a "twisted" analogue of the irreducible character of the symmetric group ...
Itoh, Minoru
core   +1 more source

On McKay's propagation theorem for the Foulkes conjecture

, 2015
We translate the main theorem in Tom McKay's paper "On plethysm conjectures of Stanley and Foulkes" (J. Alg. 319, 2008, pp. 2050-2071) to the language of weight spaces and projections onto invariant spaces of tensors, which makes its proof short and ...
Ikenmeyer, Christian
core  

Assessment of water resource security in karst area of Guizhou Province, China. [PDF]

Sci Rep, 2021
Liu L.
europepmc   +1 more source

Stanley character polynomials

, 2014
Stanley considered suitably normalized characters of the symmetric groups on Young diagrams having a special geometric form, namely multirectangular Young diagrams.
Śniady, Piotr
core  

Multiquadratic fields generated by characters of $A_n$

, 2019
For a finite group $G$, let $K(G)$ denote the field generated over $\mathbb{Q}$ by its character values. For $n>24$, G. R. Robinson and J. G. Thompson proved that $$K(A_n)=\mathbb{Q}\left (\{ \sqrt{p^*} \ : \ p\leq n \ {\text{ an odd prime with } p\neq n-
Dawsey, Madeline Locus, Ono, Ken, Wagner, Ian   +2 more
core