On Cocharacters Associated to Nilpotent Elements of Reductive Groups
2008 ◽
Vol 190
◽
pp. 105-128
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Keyword(s):
Let G be a connected reductive linear algebraic group defined over an algebraically closed field of characteristic p. Assume that p is good for G. In this note we consider particular classes of connected reductive subgroups H of G and show that the cocharacters of H that are associated to a given nilpotent element e in the Lie algebra of H are precisely the cocharacters of G associated to e that take values in H. In particular, we show that this is the case provided H is a connected reductive subgroup of G of maximal rank; this answers a question posed by J. C. Jantzen.
2008 ◽
Vol 4
(1)
◽
pp. 91-100
1976 ◽
Vol 79
(3)
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pp. 401-425
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Keyword(s):
2008 ◽
Vol 11
◽
pp. 280-297
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2017 ◽
Vol 147
(5)
◽
pp. 993-1008
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2018 ◽
Vol 62
(2)
◽
pp. 559-594
2008 ◽
Vol 190
◽
pp. 129-181
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Keyword(s):
2004 ◽
Vol 174
◽
pp. 201-223
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2018 ◽
Vol 2019
(18)
◽
pp. 5811-5853
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