3 papers
math.RT2020
On the determinant of representations of generalized symmetric groups
Amrutha P, T. Geetha
In this paper we study the determinant of irreducible representations of the generalized symmetric groups . We give an explicit formula to compute the determi…
math.RT2019
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…
math.RT2016
Comparison of Gelfand-Tsetlin Bases for Alternating and Symmetric Groups
T. Geetha, Amritanshu Prasad
Young's orthogonal basis is a classical basis for an irreducible representation of a symmetric group. This basis happens to be a Gelfand-Tsetlin basis for the chain of symmetric gr…