Representations of quantized coordinate algebras via PBW-type elements

研究成果: Article査読

1 被引用数 (Scopus)

抄録

Inspired by the work of Kuniba-Okado-Yamada, we study some tensor product representations of quantized coordinate algebras of symmetrizable Kac-Moody Lie algebras in terms of quantized enveloping algebras. As a consequence, we describe structures and properties of certain reducible representations of quantized coordinate algebras. This paper includes alternative proofs of Soibelman’s tensor product theorem and Kuniba-Okado-Yamada’s common structure theorem based on our direct calculation method using global bases.

本文言語English
ページ(範囲)71-115
ページ数45
ジャーナルOsaka Journal of Mathematics
55
1
出版ステータスPublished - 2018 1
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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