Quantum K-theory Chevalley formulas in the parabolic case

Takafumi Kouno*, Cristian Lenart, Satoshi Naito, Daisuke Sagaki, Weihong Xu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We derive cancellation-free Chevalley-type multiplication formulas for the T-equivariant quantum K-theory ring of Grassmannians of type A and C, and also those of two-step flag manifolds of type A. They are obtained based on the uniform Chevalley formula in the T-equivariant quantum K-theory ring of arbitrary flag manifolds G/B, which was derived earlier in terms of the quantum alcove model, by the last three authors.

Original languageEnglish
Pages (from-to)1-53
Number of pages53
JournalJournal of Algebra
Volume645
DOIs
Publication statusPublished - 2024 May 1

Keywords

  • Chevalley formula
  • Quantum Bruhat graph
  • Quantum K-theory
  • Quantum alcove model

ASJC Scopus subject areas

  • Algebra and Number Theory

Fingerprint

Dive into the research topics of 'Quantum K-theory Chevalley formulas in the parabolic case'. Together they form a unique fingerprint.

Cite this