Lie algebra multiplicities-Reference-Cited by-同舟云学术

Lie algebra multiplicities

Published:1979 Issue:2 Volume:76 Page:223-228
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Berman S.,Moody R. V.

Abstract

Exact formulas for root space multiplicities in Cartan matrix Lie algebras and their universal enveloping algebras are computed. We go on to determine the number of free generators of each degree of the radicals defining these algebras.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1979-076-02/S0002-9939-1979-0537078-X/S0002-9939-1979-0537078-X.pdf

Reference9 articles.

1. Isomorphisms and automorphisms of universal Heffalump Lie algebras;Berman, S.;Proc. Amer. Math. Soc.,1977

2. N. Bourbaki, Lie groups and Lie algebras, Part 1, Chapters 1-3, Addison-Wesley, Reading, Mass., 1975.

3. Lie algebra homology and the Macdonald-Kac formulas;Garland, Howard;Invent. Math.,1976

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

5. \bysame, Simple irreducible graded Lie algebras of finite growth, Math. USSR-Izv. 2 (1968), 1271-1311.

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