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.
Original language | English |
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Pages (from-to) | 71-115 |
Number of pages | 45 |
Journal | Osaka Journal of Mathematics |
Volume | 55 |
Issue number | 1 |
Publication status | Published - 2018 Jan |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)