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An algebraic proof of determinant formulas of Grothendieck polynomials. (English) Zbl 1379.05121

Summary: We give an algebraic proof of the determinant formulas for factorial Grothendieck polynomials obtained by T. Hudson et al. [Adv. Math. 320, 115–156 (2017; Zbl 1401.19008)] by T. Hudson and T. Matsumura [“Segre classes and Kempf-Laksov formula in algebraic cobordism”, Preprint, arXiv:1602.05704].

MSC:

05E05 Symmetric functions and generalizations
14M15 Grassmannians, Schubert varieties, flag manifolds
19E08 \(K\)-theory of schemes
14C25 Algebraic cycles
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)

Citations:

Zbl 1401.19008
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