Block representation type of reduced enveloping algebras

Iain Gordon; Alexander Premet

doi:10.1090/S0002-9947-01-02826-4

Block representation type of reduced enveloping algebras

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Abstract

Let K be an algebraically closed field of characteristic p, G a connected, reductive K-group, g = Lie(G), χ ∈ g* and UX(g) the reduced enveloping algebra of g associated with χ. Assume that G(1) is simply-connected, p is good for G and g has a non-degenerate G-invariant bilinear form. All blocks of Uχ(g) having finite and tame representation type are determined.

Original language	English
Pages (from-to)	1549-1581
Number of pages	32
Journal	Transactions of the American Mathematical Society
Volume	354
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9947-01-02826-4
Publication status	Published - 2002

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title = "Block representation type of reduced enveloping algebras",

abstract = "Let K be an algebraically closed field of characteristic p, G a connected, reductive K-group, g = Lie(G), χ ∈ g* and UX(g) the reduced enveloping algebra of g associated with χ. Assume that G(1) is simply-connected, p is good for G and g has a non-degenerate G-invariant bilinear form. All blocks of Uχ(g) having finite and tame representation type are determined.",

author = "Iain Gordon and Alexander Premet",

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AU - Premet, Alexander

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AB - Let K be an algebraically closed field of characteristic p, G a connected, reductive K-group, g = Lie(G), χ ∈ g* and UX(g) the reduced enveloping algebra of g associated with χ. Assume that G(1) is simply-connected, p is good for G and g has a non-degenerate G-invariant bilinear form. All blocks of Uχ(g) having finite and tame representation type are determined.

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DO - 10.1090/S0002-9947-01-02826-4

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VL - 354

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EP - 1581

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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Block representation type of reduced enveloping algebras

Abstract

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