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Generalized Affine Kac-Moody Lie Algebras Over Localizations of the Polynomial Ring in One Variable

Published online by Cambridge University Press:  20 November 2018

Murray Bremner
Murray Bremner*
Affiliation:
Department of Mathematics University of Toronto 100 St. George Street Toronto, Ontario M5S 1A1
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Abstract

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We consider simple complex Lie algebras extended over the commutative ring C[z,(z — a1)-1, . . . ,(z — an)-1] where a1, . . . ,an ∊ C. We compute the universal central extensions of these Lie algebras and present explicit commutation relations for these extensions. These algebras generalize the untwisted affine Kac-Moody Lie algebras, which correspond to the case n = 1, a1 = 0.

Keywords

17B6517B67
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 1 , 01 March 1994 , pp. 21 - 28
Copyright
Copyright © Canadian Mathematical Society 1994

References

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