Combinatorial 𝐡_{𝑛}-analogues of Schubert polynomials

  • Fomin S
  • Kirillov A
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Abstract

Combinatorial B n 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 B Yang-Baxter equation that involves the nilCoxeter algebra of the hyperoctahedral group.

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Fomin, S., & Kirillov, A. (1996). Combinatorial 𝐡_{𝑛}-analogues of Schubert polynomials. Transactions of the American Mathematical Society, 348(9), 3591–3620. https://doi.org/10.1090/s0002-9947-96-01558-9

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