Ad-nilpotent ideals of minimal dimension. (English) Zbl 1302.17018
The main result of the paper asserts that for each nilpotent orbit associated to a simple complex Lie group there is an ad-nilpotent ideal which has prescribed minimal dimension as conjectured in [N. Kawanaka, Invent. Math. 84, 575–616 (1986; Zbl 0596.20028)]. In type \(A\) the author also obtains an explicit combinatorial formula for this minimal dimension.
Reviewer: Volodymyr Mazorchuk (Uppsala)
Citations:
Zbl 0596.20028References:
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