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Crystal Bases for Kac–Moody Superalgebras

✍ Scribed by Kyeonghoon Jeong

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
209 KB
Volume
237
Category
Article
ISSN
0021-8693

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✦ Synopsis

In this paper, we introduce the notion of crystal bases of Kac᎐Moody superalgebras. We prove the existence of the crystal bases for integrable modules following Kashiwara's grand loop argument and we also prove the tensor product rule for these bases. We simplify his argument without introducing the notion of the boson y Ž . structure on the U ᒄ . ᮊ 2001 Academic Press q q

The notion of Kac᎐Moody superalgebras is a generalization of that of Kac᎐Moody algebras. Naturally, we want to develop the theory of crystal

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