Papers

Peer-reviewed
May, 2016

Quantized coordinate rings, PBW-type bases and q-boson algebras

JOURNAL OF ALGEBRA
  • Yoshihisa Saito

Volume
453
Number
First page
456
Last page
491
Language
English
Publishing type
Research paper (scientific journal)
DOI
10.1016/j.jalgebra.2016.01.007
Publisher
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.

Link information
DOI
https://doi.org/10.1016/j.jalgebra.2016.01.007
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000372765800015&DestApp=WOS_CPL
ID information
  • DOI : 10.1016/j.jalgebra.2016.01.007
  • ISSN : 0021-8693
  • eISSN : 1090-266X
  • Web of Science ID : WOS:000372765800015

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