Gelfand–Kirillov Dimensions and Associated Varieties of Highest Weight Modules
Gelfand–Kirillov Dimensions and Associated Varieties of Highest Weight Modules
Abstract In this paper, we present a uniform formula of Lusztig’s $ \textbf {a}$-functions on classical Weyl groups. Then we obtain an efficient algorithm for the Gelfand–Kirillov dimensions of simple highest weight modules of classical Lie algebras, whose highest weight is not necessarily regular or integral. To deal with type …