Neutral-fermionic presentation of the K-theoretic Q-function

研究成果: Article査読

抄録

We show a new neutral-fermionic presentation of Ikeda-Naruse’s K-theoretic Q-functions, which represent a Schubert class in the K-theory of coherent sheaves on the Lagrangian Grassmannian. Our presentation provides a simple description and yields a straightforward proof of two types of Pfaffian formulas for them. We present a dual space of GΓ, the vector space generated by all K-theoretic Q-functions, by constructing a non-degenerate bilinear form which is compatible with the neutral-fermionic presentation. We give a new family of dual K-theoretic Q-functions, their neutral-fermionic presentations, and Pfaffian formulas.

本文言語English
ページ(範囲)629-662
ページ数34
ジャーナルJournal of Algebraic Combinatorics
55
2
DOI
出版ステータスPublished - 2022 3月
外部発表はい

ASJC Scopus subject areas

  • 代数と数論
  • 離散数学と組合せ数学

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