On Commuting Varieties of Nilradicals of Borel Subalgebras of Reductive Lie Algebras
2014 ◽
Vol 58
(1)
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pp. 169-181
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Keyword(s):
AbstractLet G be a connected reductive algebraic group defined over an algebraically closed field of characteristic 0. We consider the commuting variety of the nilradical of the Lie algebra of a Borel subgroup B of G. In case B acts on with only a finite number of orbits, we verify that is equidimensional and that the irreducible components are in correspondence with the distinguishedB-orbits in . We observe that in general is not equidimensional, and determine the irreducible components of in the minimal cases where there are infinitely many B-orbits in .
2018 ◽
Vol 62
(2)
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pp. 559-594
2008 ◽
Vol 11
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pp. 280-297
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2017 ◽
Vol 147
(5)
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pp. 993-1008
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1962 ◽
Vol 14
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pp. 293-303
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2016 ◽
Vol 19
(1)
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pp. 235-258
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1976 ◽
Vol 79
(3)
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pp. 401-425
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Keyword(s):
2018 ◽
Vol 11
(05)
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pp. 1850063
Keyword(s):
Keyword(s):
2008 ◽
Vol 190
◽
pp. 105-128
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2015 ◽
Vol 16
(4)
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pp. 887-898