Construction of double Grothendieck polynomials of classical types using idcoxeter algebras. (English) Zbl 1364.05081

Kirillov, Anatol N.; Naruse, Hiroshi

Tokyo J. Math. 39, No. 3, 695-728 (2017).

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

Citations:

Zbl 1278.05240