The nilpotent variety of W(1;n)p is irreducible
2019 ◽
Vol 18
(03)
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pp. 1950056
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In the late 1980s, Premet conjectured that the nilpotent variety of any finite dimensional restricted Lie algebra over an algebraically closed field of characteristic [Formula: see text] is irreducible. This conjecture remains open, but it is known to hold for a large class of simple restricted Lie algebras, e.g. for Lie algebras of connected algebraic groups, and for Cartan series [Formula: see text] and [Formula: see text]. In this paper, with the assumption that [Formula: see text], we confirm this conjecture for the minimal [Formula: see text]-envelope [Formula: see text] of the Zassenhaus algebra [Formula: see text] for all [Formula: see text].
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2007 ◽
Vol 75
(1)
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pp. 27-44
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2016 ◽
Vol 2016
(716)
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2008 ◽
Vol 18
(02)
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pp. 271-283
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2005 ◽
Vol 72
(1)
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pp. 147-156
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1979 ◽
Vol 27
(2)
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pp. 163-166
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1965 ◽
Vol 25
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pp. 211-220
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1995 ◽
Vol 47
(1)
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pp. 146-164
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2005 ◽
Vol 15
(05n06)
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pp. 1151-1168
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