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$ L\sb 2(q)$ and the rank two Lie groups: their construction in light of Kostant's conjecture

Author: Mark R. Sepanski
Journal: Trans. Amer. Math. Soc. 347 (1995), 3983-4021
MSC: Primary 20D06; Secondary 17B20, 22E60
MathSciNet review: 1308021
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Abstract: This paper deals with certain aspects of a conjecture made by B. Kostant in 1983 relating the Coxeter number to the occurrence of the simple finite groups $ L(2,q)$ in simple complex Lie groups. A unified approach to Kostant's conjecture that yields very general results for the rank two case is presented.

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Keywords: $ {L_2}(q)$, $ PSL(2,q)$, Kostant's conjecture
Article copyright: © Copyright 1995 American Mathematical Society