A hyperbolic GCM Lie algebra and the Fibonacci numbers-Reference-Cited by-同舟云学术

A hyperbolic GCM Lie algebra and the Fibonacci numbers

Published:1980 Issue:3 Volume:80 Page:379-385
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Feingold Alex Jay

Abstract

The Fibonacci numbers are found to be involved with the Weyl-Macdonald-Kac denominator formula for a certain rank 2 Generalized Cartan Matrix Lie algebra.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1980-080-03/S0002-9939-1980-0580988-6/S0002-9939-1980-0580988-6.pdf

Reference11 articles.

1. Lie algebra multiplicities;Berman, S.;Proc. Amer. Math. Soc.,1979

2. Simple irreducible graded Lie algebras of finite growth;Kac, V. G.;Izv. Akad. Nauk SSSR Ser. Mat.,1968

3. Infinite-dimensional Lie algebras, and the Dedekind 𝜂-function;Kac, V. G.;Funkcional. Anal. i Prilo\v{z}en.,1974

4. Lie algebras and combinatorics;Lepowsky, J.,1980

5. Generalized Verma modules, loop space cohomology and MacDonald-type identities;Lepowsky, J.;Ann. Sci. \'{E}cole Norm. Sup. (4),1979

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