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Commuting Varieties for Nilpotent Radicals

Part of: Lie algebras and Lie superalgebras Algebraic groups

Published online by Cambridge University Press:  03 December 2018

Rolf Farnsteiner
Rolf Farnsteiner*
Affiliation:
Mathematisches Seminar, Christian-Albrechts-Universität zu Kiel, Ludewig-Meyn-Str. 4, 24098 Kiel, Germany (rolf@math.uni-kiel.de)
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Abstract

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Let U be the unipotent radical of a Borel subgroup of a connected reductive algebraic group G, which is defined over an algebraically closed field k. In this paper, we extend work by Goodwin and Röhrle concerning the commuting variety of Lie(U) for Char(k) = 0 to fields whose characteristic is good for G.

Keywords

commuting varietiesnilpotent radicalsabelian Lie algebras

MSC classification

Primary: 17B50: Modular Lie (super)algebras 17B45: Lie algebras of linear algebraic groups
Secondary: 14L17: Affine algebraic groups, hyperalgebra constructions
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 62 , Issue 2 , May 2019 , pp. 559 - 594
Copyright
Copyright © Edinburgh Mathematical Society 2018 

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