Results 21 to 30 of about 570 (31)

On the representation dimension of skew group algebras, wreath products and blocks of Hecke algebras

open access: yes, 2012
We establish bounds for the representation dimension of skew group algebras and wreath products. Using this, we obtain bounds for the representation dimension of a block of a Hecke algebra of type A, in terms of the weight of the block.
Bergh, Petter Andreas, Turner, Will
core   +1 more source

Twisted immanant and matrices with anticommuting entries

open access: yes, 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

Wreath determinants for group-subgroup pairs [PDF]

open access: yes, 2014
The aim of the present paper is to generalize the notion of the group determinants for finite groups. For a finite group $G$ of order $kn$ and its subgroup $H$ of order $n$, one may define an $n$ by $kn$ matrix $X=(x_{hg^{-1}})_{h\in H,g\in G}$, where ...
Hamamoto, Kei   +3 more
core  

Multiquadratic fields generated by characters of $A_n$

open access: yes, 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   +2 more
core  

On McKay's propagation theorem for the Foulkes conjecture

open access: yes, 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  

The Howe duality and the Projective Representations of Symmetric Groups

open access: yes, 1998
The symmetric group S_n possesses a nontrivial central extension, whose irreducible representations, different from the irreducible representations of S_n itself, coincide with the irreducible representations of a certain algebra A_n. Recently M.~Nazarov
Sergeev, Alexander
core   +4 more sources

Stanley character polynomials

open access: yes, 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  

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