Combinatorial 𝐵_{𝑛}-analogues of Schubert polynomials

Fomin, Sergey; Kirillov, Anatol

doi:10.1090/S0002-9947-96-01558-9

Combinatorial $B_n$-analogues of Schubert polynomials
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by Sergey Fomin and Anatol N. Kirillov PDF

Trans. Amer. Math. Soc. 348 (1996), 3591-3620 Request permission

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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