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.References
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Additional Information
- Sergey Fomin
- Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139-4307
- MR Author ID: 230455
- ORCID: 0000-0002-4714-6141
- Email: fomin@math.mit.edu
- Anatol N. Kirillov
- Affiliation: Department of Mathematical Sciences, University of Tokyo, Komaba, Meguro-ku, Tokyo 153, Japan
- Email: kirillov@ker.c.u-tokyo.ac.jp
- Received by editor(s): January 6, 1994
- Additional Notes: Partially supported by the NSF (DMS-9400914).
- © Copyright 1996 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 348 (1996), 3591-3620
- MSC (1991): Primary 05E15; Secondary 05E05, 14M15
- DOI: https://doi.org/10.1090/S0002-9947-96-01558-9
- MathSciNet review: 1340174