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• W2186685053 abstract "For a semi-simple finite-dimensional complex Lie algebra g, we classify the representation type of the associative algebras associated with the categories ∞ λ H 1 of Harish–Chandra bimodules for g. 1. Result Let g be a simple finite-dimensional complex Lie algebra with a fixed triangular decomposition, g = n− ⊕ h ⊕ n+, let λ and µ be two dominant and integral (but not necessarily regular) weights, let U( g) be the universal enveloping algebra of g and let Z(g) be the centre of U( g). Denote by χλ and χµ the central characters of the Verma modules �(λ) and �(µ) , respectively. Let further ∞ λ H 1 denote the full subcategory of the category of all U( g)-bimodules, which consists of all X satisfying the following conditions [24, Kapitel 6]:" @default.
• W2186685053 created "2016-06-24" @default.
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• W2186685053 date "2005-01-01" @default.
• W2186685053 modified "2023-09-27" @default.
• W2186685053 title "REPRESENTATION TYPE OF ∞ λ H 1" @default.
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