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math.RT2004★ 2 cited
A weight multiplicity formula for Demazure modules
Bogdan Ion
We establish a formula for the weight multiplicities of Demazure modules (in particular for highest weight representations) of a complex connected algebraic group in terms of the g…
math.RT2003★ 1 cited
The Cherednik kernel and generalized exponents
Bogdan Ion
We show how the knowledge of the Fourier coefficients of the Cherednik kernel leads to combinatorial formulas for generalized exponents. We recover known formulas for generalized e…