2016年5月
Quantized coordinate rings, PBW-type bases and q-boson algebras
JOURNAL OF ALGEBRA
- 巻
- 453
- 号
- 開始ページ
- 456
- 終了ページ
- 491
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.jalgebra.2016.01.007
- 出版者・発行元
- ACADEMIC PRESS INC ELSEVIER SCIENCE
In [7], Kuniba, Okado and Yamada proved that the transition matrix of a PBW-type basis of the positive-half of the quantized universal enveloping algebra U-q(g) coincides with a matrix of the intertwiner between certain irreducible modules over the quantized coordinate ring A(q)(g) introduced by Soibelman [13]. In the present article, we give a new proof of their result, by using representation theory of the q-boson algebra, and the Drinfeld pairing of U-q(g). (C) 2016 Elsevier Inc. All rights reserved.
- リンク情報
- ID情報
-
- DOI : 10.1016/j.jalgebra.2016.01.007
- ISSN : 0021-8693
- eISSN : 1090-266X
- Web of Science ID : WOS:000372765800015