AbstractMotivated by an analogous attempt to construct the modules for the projective representations of the symmetric groups, we define functors from Sn-modules to Sn+k-modules, one for each k, whose iterations yield the linear irreducibles. The homological construction is based on an alternating sum formula of Bernstein. The combinatorial description of the Specht modules is then rederived
Ordinary representation theory of the symmetric groups is quite well understood, but there are still...
We introduce a filtration of a (g.K)-module of some space of functions on a reductive symmetric spac...
Issai Schur’s dissertation (Berlin, 1901): classification of irreducible polynomial representations ...
AbstractMotivated by an analogous attempt to construct the modules for the projective representation...
The wealth of beautiful combinatorics that arise in the representation theory of the symmetric group...
An explicit formula for the chromatic polynomials of certain families of graphs, called ‘bracelets’,...
In this thesis, we focus on the representation theory of symmetric groups. Especially, we are very ...
AbstractWe present (with proof ) a new family of decomposable Specht modules for the symmetric group...
My research has been centered around the combinatorics of representations of symmetric groups, along...
Abstract. We suggest a simple definition for categorification of modules over rings and illustrate i...
AbstractCohomology of Specht modules for the symmetric group can be equated in low degrees with corr...
We study modules for the general linear group (over an infinite field of arbitrary characteristic) w...
AbstractAn explicit formula for the chromatic polynomials of certain families of graphs, called `bra...
We investigate a class of modules for the wreath product Sm wr Sn of two symmetric groups which are ...
In this paper, we study a decomposition D-module structure of the polynomial ring. Then, we illustra...
Ordinary representation theory of the symmetric groups is quite well understood, but there are still...
We introduce a filtration of a (g.K)-module of some space of functions on a reductive symmetric spac...
Issai Schur’s dissertation (Berlin, 1901): classification of irreducible polynomial representations ...
AbstractMotivated by an analogous attempt to construct the modules for the projective representation...
The wealth of beautiful combinatorics that arise in the representation theory of the symmetric group...
An explicit formula for the chromatic polynomials of certain families of graphs, called ‘bracelets’,...
In this thesis, we focus on the representation theory of symmetric groups. Especially, we are very ...
AbstractWe present (with proof ) a new family of decomposable Specht modules for the symmetric group...
My research has been centered around the combinatorics of representations of symmetric groups, along...
Abstract. We suggest a simple definition for categorification of modules over rings and illustrate i...
AbstractCohomology of Specht modules for the symmetric group can be equated in low degrees with corr...
We study modules for the general linear group (over an infinite field of arbitrary characteristic) w...
AbstractAn explicit formula for the chromatic polynomials of certain families of graphs, called `bra...
We investigate a class of modules for the wreath product Sm wr Sn of two symmetric groups which are ...
In this paper, we study a decomposition D-module structure of the polynomial ring. Then, we illustra...
Ordinary representation theory of the symmetric groups is quite well understood, but there are still...
We introduce a filtration of a (g.K)-module of some space of functions on a reductive symmetric spac...
Issai Schur’s dissertation (Berlin, 1901): classification of irreducible polynomial representations ...