5 papers
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 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(…
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…