Results 41 to 50 of about 640 (68)
On the representation dimension of skew group algebras, wreath products and blocks of Hecke algebras
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
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An application of representation theory to PI-algebras
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
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
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Fourier analysis on finite groups and the Lov\'asz theta-number of Cayley graphs
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
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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
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Quotients of E^n by A_{n+1} and Calabi-Yau manifolds
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
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On matrix coefficients of the reflection representation
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
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Multiquadratic fields generated by characters of $A_n$
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
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Assessment of water resource security in karst area of Guizhou Province, China. [PDF]
Liu L.
europepmc +1 more source
On McKay's propagation theorem for the Foulkes conjecture
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