Fixed point varieties on affine flag manifolds

D. Kazhdan; G. Lusztig

doi:10.1007/BF02787119

Fixed point varieties on affine flag manifolds

D. Kazhdan^*, G. Lusztig

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

99 Scopus citations

Abstract

We study the space of Iwahori subalgebras containing a given element of a semisimple Lie algebra over C((e{open})). We also define and study a map from nilpotent orbits in a semisimple Lie algebra over C to conjugacy classes in the Weyl group.

Original language	English
Pages (from-to)	129-168
Number of pages	40
Journal	Israel Journal of Mathematics
Volume	62
Issue number	2
DOIs	https://doi.org/10.1007/BF02787119
State	Published - Jun 1988
Externally published	Yes

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title = "Fixed point varieties on affine flag manifolds",

abstract = "We study the space of Iwahori subalgebras containing a given element of a semisimple Lie algebra over C((e{open})). We also define and study a map from nilpotent orbits in a semisimple Lie algebra over C to conjugacy classes in the Weyl group.",

author = "D. Kazhdan and G. Lusztig",

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Fixed point varieties on affine flag manifolds

Abstract

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