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math.RT2019★ 2 cited
Macdonald Polynomials and level two Demazure modules for affine
Rekha Biswal, Vyjayanthi Chari, Peri Shereen +1
We define a family of symmetric polynomials indexed by a pair of dominant integral weights. The polynomial is the specialized Macdon…
math.RT2019
Existence of Kirillov--Reshetikhin crystals for multiplicity free nodes
Rekha Biswal, Travis Scrimshaw
We show that the Kirillov--Reshetikhin crystal exists when is a node such that the Kirillov--Reshetikhin module has a multiplicity free classical decomposit…
math.RT2015
Demazure Flags, Chebyshev polynomials, Partial and Mock theta functions
Rekha Biswal, Vyjayanthi Chari, Lisa Schneider +1
We study the level --Demazure flag of a level --Demazure module for . We define the generating series which encodes the …