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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.

05E05 Symmetric functions and generalizations
Full Text: DOI Euclid