Results 41 to 50 of about 640 (68)

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

An application of representation theory to PI-algebras

open access: yes, 1976
By realizing that the multilinear identities of degree n of a P1algebra form a left ideal in the group algebra F(S ], it is possible sometimes to use the representation theory of the symmetric group Sn in the study of Tideals and PI-algebras.
J. B. Olsson, A. Regev
semanticscholar   +1 more source

Zelevinski algebras related to projective representations

open access: yes, 1988
We define L-PSH-algebras, and prove a classification theorem for such objects. The letters refer respectively to a ground ring L and to the positivity, selfadjointness and Hopf structures on an algebra, the basic example of which occurred in the study of
M. Bean, P. Hoffman
semanticscholar   +1 more source

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

open access: yes, 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   +2 more
core   +1 more source

Tables of reductions of symmetrized inner products (“inner plethysms”) of ordinary irreducible representations of symmetric groups

open access: yes, 1975
Decompositions of symmetrized inner products [a] B Iß] of ordinary irreducible representations [a] of symmetric groups Sn and [ß] of Sm were evaluated on a CDC 6400. Tables were obtained for 2 < n < 10 and 2 < m < 5 as well as for m — 6 and 2 < n < 7. In
N. Esper
semanticscholar   +1 more source

Quotients of E^n by A_{n+1} and Calabi-Yau manifolds

open access: yes, 2005
We give a simple construction, starting with any elliptic curve E, of an n-dimensional Calabi-Yau variety of Kummer type (for any n>1), by considering the quotient Y of the n-fold self-product of E by a natural action of the alternating group A_{n+1} (in
CW Curtis   +3 more
core   +1 more source

On matrix coefficients of the reflection representation

open access: yes, 1989
We answer in the affirmative a question of Lusztig on the signs of certain matrix coefficients for the reflection representation of the Hecke algebra of a finite Weyl group.
J. Douglass, B. Shelton
semanticscholar   +1 more source

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  

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