AN APPLICATION OF CRYSTAL BASES TO REPRESENTATIONS OF AFFINE LIE-ALGEBRAS

Authors
BOS MK MISRA KC
Citation
Mk. Bos et Kc. Misra, AN APPLICATION OF CRYSTAL BASES TO REPRESENTATIONS OF AFFINE LIE-ALGEBRAS, Journal of algebra, 173(2), 1995, pp. 436-458
Citations number
13
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of algebra → ACNP
ISSN journal
00218693
Volume
173
Issue
2
Year of publication
1995
Pages
436 - 458
Database
ISI
SICI code
0021-8693(1995)173:2<436:AAOCBT>2.0.ZU;2-O
Abstract
It has been shown that up to degree shifts any integrable highest weig ht (or standard) module of level k for an affine Lie algebra g can be imbedded in the tenser product of k copies of level one integrable hig hest weight modules. When the affine Lie algebra g is of classical typ e the path realizations of the crystal bases for the level one U-q(g)- modules have been used to obtain these results. (C) 1995 Academic Pres s, Inc.