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A Generalization of Borcherds Algebra and Denominator Formula

✍ Scribed by Masahiko Miyamoto

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
219 KB
Volume
180
Category
Article
ISSN
0021-8693

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✦ Synopsis

We study generalized Lie superalgebras an extension of Kac's generalized Lie . superalgebras and show that they are transformed forms of L-graded Lie superalgebras for some abelian group L. We then introduce a generalized Lie superalge-Ž . bra version of the generalized Kac᎐Moody algebra Borcherds algebra . Since it is a transformed Borcherds superalgebra, it has several properties similar to those of Borcherds superalgebra. For example, it is defined by similar relations and has a similar denominator formula and character formulas.

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