Results 31 to 40 of about 640 (68)

The Stanely-F\'eray-\'Sniady formula for the generalized characters of the Symmetric Group

open access: yes, 2011
We show that the explicit formula of Stanley-F\'eray-\'Sniady for the characters of the symmetric group have a natural extension to the generalized characters.
Scarabotti, Fabio
core   +1 more source

A combinatorial realization of Schur-Weyl duality via crystal graphs and dual equivalence graphs [PDF]

open access: yes, 2008
For any polynomial representation of the special linear group, the nodes of the corresponding crystal may be indexed by semi-standard Young tableaux. Under certain conditions, the standard Young tableaux occur, and do so with weight 0.
Assaf, Sami
core   +3 more sources

Reflection Groups, Braid Groups, Hecke Algebras, Finite Reduction Groups

open access: yes, 2000
Finite subgroups of GLn(Q) generated by reflections, known as Weyl groups, classify simple complex Lie Groups as well as simple algebraic groups. They are also building stones for many other significant mathematical objects like braid groups and Hecke ...
M. Broué
semanticscholar   +1 more source

Higher-order Sugawara operators for affine Lie algebras

open access: yes, 1989
Let 0 be the affine Lie algebra associated to a simple Lie algebra 0 . Representations of 0 are described by current fields X(Q on the circle T (X e 0 and £ £ T ).
R. Goodman, N. Wallach
semanticscholar   +1 more source

Plethysm, Partitions with an Even Number of Blocks and Euler Numbers

open access: yesFormal Power Series and Algebraic Combinatorics, 1994
This paper is based on an hour address given at the Sixth Conference on Formal Power Series and Algebraic Combinatorics, held at DIMACS in 1994. It is written primarily for an audience of combinatorialists.
S. Sundaram
semanticscholar   +1 more source

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

open access: yes, 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  

The largest degrees of irreducible characters of the symmetric group

open access: yes, 1976
The largest irreducible degrees and the partitions associated with them are tabulated for the symmetric group En for n up to 75. Analytic upper and lower bounds are derived for the largest degree. Introduction.
J. McKay
semanticscholar   +1 more source

Modular Schur functions

open access: yes, 1994
A new family of symmetric functions is considered. These functions are analogous to the classical Schur functions, but depend on an integer modulus p > 2 , as well as on a partition X. In the case where p is prime, certain of these functions are shown to
G. Walker
semanticscholar   +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

On perfect isometries and isotypies in alternating groups

open access: yes, 1997
Perfect isometries and isotypies are constructed for alternating groups between blocks with abelian defect groups and the Brauer correspondents of these blocks.
P. Fong, M. E. Harris
semanticscholar   +1 more source

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