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|a He, Xuhua
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Lusztig, George
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|a Lusztig, George
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|a Lusztig, George
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|a A generalization of Steinberg's cross section
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|b American Mathematical Society,
|c 2012-06-14T20:19:25Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/71159
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|a Let G be a semisimple group over an algebraically closed field. Steinberg has associated to a Coxeter element w of minimal length r a subvariety V of G isomorphic to an affine space of dimension r which meets the regular unipotent class Y in exactly one point. In this paper this is generalized to the case where w is replaced by any elliptic element in the Weyl group of minimal length d in its conjugacy class, V is replaced by a subvariety V' of G isomorphic to an affine space of dimension d, and Y is replaced by a unipotent class Y' of codimension d in such a way that the intersection of V' and Y' is finite.
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|a National Science Foundation (U.S.) (grant DMS-0758262)
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|a Research Grants Council of Hong Kong, China (grant 601409)
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|a en_US
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|a Article
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|t Journal of the American Mathematical Society
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