Lusztig's Canonical Quotient and Generalized Duality

Details Lusztig's Canonical Quotient and Generalized Duality Lusztig's Canonical Quotient and Generalized Duality

2001-04-16

arxiv.org/abs/math/0104162v1

Mathematics

Representation Theory

21 pages

Scientific paper

We present a new characterization of Lusztig's canonical quotient group. We
also define a duality map: to a pair consisting of a nilpotent orbit and a
conjugacy class in its fundamental group, the map assigns a nilpotent orbit in
the Langlands dual Lie algebra.

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