8 citations · 27 across the 12 of their papers we have counts for
13 papers
Kostant's problem for parabolic Verma modules
Volodymyr Mazorchuk, Shraddha Srivastava
We give a complete combinatorial classification of those parabolic Verma modules in the principal block of the parabolic category associated to a minimal or a maximal…
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…
Multiparameter colored partition category and the product of the reduced Kronecker coefficients
Volodymyr Mazorchuk, Shraddha Srivastava
We introduce and study a multiparameter colored partition category by extending the construction of the partition category, over an algebraically close…
Finite quotients of singular Artin monoids and categorification of the desingularization map
Helena Jonsson, Volodymyr Mazorchuk, Elin Persson Westin +3
We study various aspects of the structure and representation theory of singular Artin monoids. This includes a number of generalizations of the desingularization map and explicit p…
Jucys-Murphy elements and Grothendieck groups for generalized rook monoids
Volodymyr Mazorchuk, Shraddha Srivastava
We consider a tower of generalized rook monoid algebras over the field of complex numbers and observe that the Bratteli diagram associated to this tower is a simple gr…
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…
Jucys-Murphy elements of partition algebras for the rook monoid
Ashish Mishra, Shraddha Srivastava
Kudryavtseva and Mazorchuk exhibited Schur-Weyl duality between the rook monoid algebra and the subalgebra of the partition algebra $\mathbb{C} A_k(…
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…
Schur Algebras for the Alternating Group and Koszul Duality
Thangavelu Geetha, Amritanshu Prasad, Shraddha Srivastava
We introduce the alternating Schur algebra as the commutant of the action of the alternating group on the -fold tensor power of an -dimensional -vector s…
On representation theory of partition algebras for complex reflection groups
Ashish Mishra, Shraddha Srivastava
This paper defines the partition algebra for complex reflection group acting on -fold tensor product , where is the reflect…
Relating tensor structures on representations of general linear and symmetric groups
Upendra Kulkarni, Shraddha Srivastava, K V Subrahmanyam
For polynomial representations of of a fixed degree, H. Krause defined a new internal tensor product using the language of strict polynomial functors. We show that over an a…
Subfield-Subcodes of Generalized Toric codes
Fernando Hernando, Michael E. O'Sullivan, Emanuel Popovici +1
We study subfield-subcodes of Generalized Toric (GT) codes over . These are the multidimensional analogues of BCH codes, which may be seen as subfield-subcodes of…