22 citations · 31 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Graphic Interpretation of the Structure Constants of the Schur Algebra
T. Geetha, Amritanshu Prasad
Issai Schur, in his doctoral thesis (1901) introduced the Schur algebra to study the polynomial representation theory of the general linear group. He described a basis of this alge…
Centre of the Schur Algebra
T. Geetha, Amritanshu Prasad
We describe a basis of the centre of the Schur algebra which comes from conjugacy classes in the symmetric group via Schur-Weyl duality. We give a combinatorial description of expa…
Cellularity of Wreath Product Algebras and --Brauer algebras
T. Geetha, Frederick M. Goodman
A cellular algebra is called cyclic cellular if all cell modules are cyclic. Most important examples of cellular algebras appearing in representation theory are in fact cyclic cell…