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A Note on Specializations of Grothendieck Polynomials

Published 28 Nov 2018 in math.CO | (1811.11596v2)

Abstract: Buch and Rim\'{a}nyi proved a formula for specializations of double Grothendieck polynomials based on the Yang-Baxter equation related to the degenerate Hecke algebra. A geometric proof was found by Yong and Woo by constructing a Gr\"{o}bner basis for the Kazhdan-Lusztig ideals. In this note, we give an elementary proof for this formula by using only divided difference operators.

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Authors (2)

  1. Neil J. Y. Fan 
  2. Peter L. Guo 

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