Representations of quantized coordinate algebras via PBW-type elements

研究成果: Article

1 引用 (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.

元の言語English
ページ(範囲)71-115
ページ数45
ジャーナルOsaka Journal of Mathematics
55
発行部数1
出版物ステータスPublished - 2018 1 1
外部発表Yes

ASJC Scopus subject areas

  • Mathematics(all)

これを引用

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abstract = "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.",
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