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An Application of Crystal Bases to Representations of Affine Lie Algebras

✍ Scribed by M.K. Bos; K.C. Misra

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
665 KB
Volume
173
Category
Article
ISSN
0021-8693

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✦ Synopsis

It has been shown that up to degree shifts any integrable highest weight (or standard) module of level (k) for an affine Lie algebra (g) can be imbedded in the tensor product of (k) copies of level one integrable highest weight modules. When the affine Lie algebra (g) is of classical type the path realizations of the crystal bases for the level one (\mathscr{H}_{q}(\mathrm{~g}))-modules have been used to obtain these results. 1995 Academic Press, Inc.

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