Results 31 to 40 of about 640 (68)
The Stanely-F\'eray-\'Sniady formula for the generalized characters of the Symmetric Group
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]
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
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
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
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]
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
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
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
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
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