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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Determinantal formulas for dual Grothendieck polynomials
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by Alimzhan Amanov and Damir Yeliussizov PDF
Proc. Amer. Math. Soc. 150 (2022), 4113-4128 Request permission

Abstract:

We prove Jacobi–Trudi-type determinantal formulas for skew dual Grothendieck polynomials which are $K$-theoretic deformations of Schur polynomials. We also obtain a bialternant-type formula analogous to the classical definition of Schur polynomials.
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Additional Information
  • Alimzhan Amanov
  • Affiliation: Kazakh-British Technical University, Almaty, Kazakhstan
  • ORCID: 0000-0002-7669-0656
  • Email: alimzhan.amanov@gmail.com
  • Damir Yeliussizov
  • Affiliation: Kazakh-British Technical University, Almaty, Kazakhstan
  • MR Author ID: 941554
  • Email: yeldamir@gmail.com
  • Received by editor(s): March 13, 2020
  • Received by editor(s) in revised form: September 15, 2021
  • Published electronically: June 22, 2022
  • Additional Notes: The authors were partially supported by MESRK grant AP08053036.
  • Communicated by: Benjamin Brubaker
  • © Copyright 2022 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 150 (2022), 4113-4128
  • MSC (2020): Primary 05E05
  • DOI: https://doi.org/10.1090/proc/16008
  • MathSciNet review: 4470162