Construction of double Grothendieck polynomials of classical types using IdCoxeter algebras
Combinatorics
2020-09-01 v2
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.
Keywords
Cite
@article{arxiv.1504.08089,
title = {Construction of double Grothendieck polynomials of classical types using IdCoxeter algebras},
author = {A. N. Kirillov and H. Naruse},
journal= {arXiv preprint arXiv:1504.08089},
year = {2020}
}
Comments
Dedicated to Professor Ken-ichi Shinoda