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math.RT2017
Walk algebras, distinguished subexpressions, and point counting in Kac-Moody flag varieties
Dinakar Muthiah, Daniel Orr
We study walk algebras and Hecke algebras for Kac-Moody root systems. Each choice of orientation for the set of real roots gives rise to a corresponding "oriented" basis for each o…
math.RT2016
Generalized Weyl modules and nonsymmetric -Whittaker functions
Evgeny Feigin, Ievgen Makedonskyi, Daniel Orr
We introduce generalized global Weyl modules and relate their graded characters to nonsymmetric Macdonald polynomials and nonsymmetric -Whittaker functions. In particular, we sh…