7 citations · 18 across the 12 of their papers we have counts for
12 papers
Kronecker Coefficients and Simultaneous Conjugacy Classes
Jyotirmoy Ganguly, Digjoy Paul, Amritanshu Prasad +2
A Kronecker coefficient is the multiplicity of an irreducible representation of a finite group in a tensor product of irreducible representations. We define Kronecker Hecke alg…
How large is the character degree sum compared to the character table sum for a finite group?
Arvind Ayyer, Hiranya Kishore Dey, Digjoy Paul
In 1961, Solomon gave upper and lower bounds for the sum of all the entries in the character table of a finite group in terms of elementary properties of the group. In a different…
The immersion poset on partitions
Lisa Johnston, David Kenepp, Evuilynn Nguyen +4
We introduce the immersion poset on partitions, defined by if and only if is monomi…
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…
On Quasi Steinberg characters of Complex Reflection Groups
Ashish Mishra, Digjoy Paul, Pooja Singla
Let be a finite group and be a prime number dividing the order of . An irreducible character of is called a quasi -Steinberg character if is nonzero fo…
The Burge correspondence and crystal graphs
Joseph Pappe, Digjoy Paul, Anne Schilling
The Burge correspondence yields a bijection between simple labelled graphs and semistandard Young tableaux of threshold shape. We characterize the simple graphs of hook shape by pe…
An area-depth symmetric -Catalan polynomial
Joseph Pappe, Digjoy Paul, Anne Schilling
We define two symmetric -Catalan polynomials in terms of the area and depth statistic and in terms of the dinv and dinv of depth statistics. We prove symmetry using an involut…
On Quasi Steinberg characters of Symmetric and Alternating groups and their Double Covers
Digjoy Paul, Pooja Singla
An irreducible character of a finite group is called quasi -Steinberg character for a prime if it takes a nonzero value on every -regular element of . In this arti…
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…
Tableau Correspondences and Representation Theory
Digjoy Paul, Amritanshu Prasad, Arghya Sadhukhan
We deduce decompositions of natural representations of general linear groups and symmetric groups from combinatorial bijections involving tableaux. These include some of Howe's dua…