5 citations · 9 across the 5 of their papers we have counts for
5 papers · 1 filter
Some Restriction Coefficients for the Trivial and Sign Representations
Sridhar P. Narayanan, Digjoy Paul, Amritanshu Prasad +1
We use character polynomials to obtain a positive combinatorial interpretation of the multiplicity of the sign representation in irreducible polynomial representations of $GL_n(\ma…
Polynomial Induction and the Restriction Problem
Sridhar P. Narayanan, Digjoy Paul, Amritanshu Prasad +1
We construct the polynomial induction functor, which is the right adjoint to the restriction functor from the category of polynomial representations of a general linear group to th…
Character Polynomials and the Restriction Problem
Sridhar Narayanan, Digjoy Paul, Amritanshu Prasad +1
Character polynomials are used to study the restriction of a polynomial representation of a general linear group to its subgroup of permutation matrices. A simple formula is obtain…
The Multiset Partition Algebra
Sridhar Narayanan, Digjoy Paul, Shraddha Srivastava
We introduce the multiset partition algebra over , where is a field of characteristic and is a positive integer. When is specialized to a…
The Representation Theory of 2-Sylow Subgroups of the Symmetric Group
Sridhar Narayanan
We use binary trees to study the Bratteli diagram of Sylow 2-subgroups of symmetric groups. We show that it is simple, has a recursive structure, and self-similarities at all scale…