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math.RT2006★ 3 cited
Quadratic transformations of Macdonald and Koornwinder polynomials
Eric M. Rains, Monica J. Vazirani
When one expands a Schur function in terms of the irreducible characters of the symplectic (or orthogonal) group, the coefficient of the trivial character is 0 unless the indexing…
math.RT2005
An observation on highest weight crystals
Monica Vazirani
As shown by Stembridge, crystal graphs can be characterized by their local behavior. In this paper, we observe that a certain local property on highest weight crystals forces a mor…