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Combinatorial B-N-Analogues Of Schubert Polynomials

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, no. 9 (1996): 3591-3620

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Yang-Baxter equation Schubert polynomials symmetric functions

Abstract

Combinatorial B-n-analogues of Schubert polynomials and corresponding symmetric functions are constructed and studied. The development is based on an exponential solution of the type B Yang-Baxter equation that involves the nilCoxeter algebra of the hyperoctahedral group.

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Sergey Fomin

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Anatol N. Kirillov

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