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A Weyl Module Stratification of Integrable Representations (with an appendix by Ryosuke Kodera)
Syu Kato, Sergey Loktev
We construct a filtration on integrable highest weight module of an affine Lie algebra whose adjoint graded quotient is a direct sum of global Weyl modules. We show that the graded…
math.RT2017
Representation theoretic realization of non-symmetric Macdonald polynomials at infinity
Evgeny Feigin, Syu Kato, Ievgen Makedonskyi
We study the nonsymmetric Macdonald polynomials specialized at infinity from various points of view. First, we define a family of modules of the Iwahori algebra whose characters ar…