𝐿₂(𝑞) and the rank two Lie groups: their construction in light of Kostant’s conjecture

Sepanski, Mark R.

doi:10.1090/S0002-9947-1995-1308021-4

$L_ 2(q)$ and the rank two Lie groups: their construction in light of Kostant’s conjecture
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Trans. Amer. Math. Soc. 347 (1995), 3983-4021 Request permission

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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and the rank two Lie groups: their construction, geometry, and invariants in light of Kostant’s Conjecture