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Construction of double Grothendieck polynomials of classical types using idcoxeter algebras. (English) Zbl 1364.05081
Summary: We construct double Grothendieck polynomials of classical types which are essentially equivalent to but simpler than the polynomials defined by A. N. Kirillov [“On double Schubert and Grothendieck polynomials for classical groups”, Preprint, arXiv:1504.01469] and identify them with the polynomials defined by T. Ikeda and H. Naruse [Adv. Math. 243, 22–66 (2013; Zbl 1278.05240)] 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.

MSC:
05E05 Symmetric functions and generalizations
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