Semistable locus of a group compactification
نویسندگان
چکیده
منابع مشابه
Semistable Locus of a Group Compactification
In this paper, we consider the diagonal action of a connected semisimple group of adjoint type on its wonderful compactification. We show that the semistable locus is a union of the G-stable pieces and we calculate the geometric quotient. 0.
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Let G be a connected semi-simple algebraic group of adjoint type over an algebraically closed field, and let G be the wonderful compactification of G. For a fixed pair (B, B−) of opposite Borel subgroups of G, we look at intersections of Lusztig’s G-stable pieces and the B−×B-orbits in G, as well as intersections of B ×B-orbits and B− ×B−-orbits in G. We give explicit conditions for such inters...
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ژورنال
عنوان ژورنال: Representation Theory of the American Mathematical Society
سال: 2011
ISSN: 1088-4165
DOI: 10.1090/s1088-4165-2011-00404-0