An algebraic proof of determinant formulas of Grothendieck polynomials

We give an algebraic proof of the determinant formulas for factorial Grothendieck polynomials obtained by Hudson-Ikeda-Matsumura-Naruse in [6] and by Hudson-Matsumura in [7]. Key words: Symmetric polynomials; Grothendieck polynomials; K-theory; Grassmannians; Schubert varieties.

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Bibliographic Details
Published in:Japan Academy Proceedings Series A: Mathematical Sciences 2017 (8), p.82
Main Author: Matsumura, Tomoo
Format: Report
Language:English
Subjects:
Mathematical research
Polynomials
Proof (Mathematics)
Online Access:Get full text
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Description
Summary:We give an algebraic proof of the determinant formulas for factorial Grothendieck polynomials obtained by Hudson-Ikeda-Matsumura-Naruse in [6] and by Hudson-Matsumura in [7]. Key words: Symmetric polynomials; Grothendieck polynomials; K-theory; Grassmannians; Schubert varieties.
ISSN:0386-2194
DOI:10.3792/pjaa.93.82