Lie algebra multiplicities

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

Reference9 articles.

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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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