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March 2017 Construction of Double Grothendieck Polynomials of Classical Types using IdCoxeter Algebras
Anatol N. KIRILLOV, Hiroshi NARUSE
Tokyo J. Math. 39(3): 695-728 (March 2017). DOI: 10.3836/tjm/1491465733

Abstract

We construct double Grothendieck polynomials of classical types which are essentially equivalent to but simpler than the polynomials defined by A.~N. Kirillov in arXiv:1504.01469 and identify them with the polynomials defined by T.~Ikeda and H.~Naruse in Adv. Math. (2013) for the case of maximal Grassmannian permutations. We also give geometric interpretation of them in terms of algebraic localization map and give explicit combinatorial formulas.

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Anatol N. KIRILLOV. Hiroshi NARUSE. "Construction of Double Grothendieck Polynomials of Classical Types using IdCoxeter Algebras." Tokyo J. Math. 39 (3) 695 - 728, March 2017. https://doi.org/10.3836/tjm/1491465733

Information

Published: March 2017
First available in Project Euclid: 6 April 2017

zbMATH: 1364.05081
MathSciNet: MR3634289
Digital Object Identifier: 10.3836/tjm/1491465733

Subjects:
Primary: 05E05

Rights: Copyright © 2017 Publication Committee for the Tokyo Journal of Mathematics

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Vol.39 • No. 3 • March 2017
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