Wonderful compactification of character varieties
نویسندگان
چکیده
منابع مشابه
Automorphisms of Wonderful Varieties
Let G be a complex semisimple linear algebraic group, and X a wonderful G-variety. We determine the connected automorphism group Aut(X) and we calculate Luna’s invariants of X under its action.
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The classification of spherical varieties is already known for semisimple groups of types A and D. Adding type E, we complete the classification for all semisimple groups with a simply laced Dynkin diagram.
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We use geometry of the wonderful compactification to obtain a new proof of the relation between Deligne-Lusztig (or AlvisCurtis) duality for p-adic groups to homological duality. This provides a new way to introduce an involution on the set of irreducible representations of the group, which has been earlier defined by A. Zelevinsky for G = GL(n) by A.-M. Aubert in general. As a byproduct we des...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2019
ISSN: 1945-5844,0030-8730
DOI: 10.2140/pjm.2019.302.413