Equivariant Degenerations of Spherical Modules: Part II

Equivariant Degenerations of Spherical Modules: Part II

We determine, under a certain assumption, the Alexeev–Brion moduli scheme M of affine spherical G -varieties with a prescribed weight monoid . In Papadakis and Van Steirteghem (Ann. Inst. Fourier (Grenoble). 62 (5) 1765–1809 19 ) we showed that if G is a connected complex reductive group of type A a...

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Veröffentlicht in:Algebras and representation theory 2016-10, Vol.19 (5), p.1135-1171
Hauptverfasser: Papadakis, Stavros Argyrios, Van Steirteghem, Bart
Format: Artikel
Sprache:eng
Schlagworte:
Associative Rings and Algebras
Commutative Rings and Algebras
Mathematics
Mathematics and Statistics
Modules
Non-associative Rings and Algebras
Weight reduction
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Zusammenfassung:We determine, under a certain assumption, the Alexeev–Brion moduli scheme M of affine spherical G -varieties with a prescribed weight monoid . In Papadakis and Van Steirteghem (Ann. Inst. Fourier (Grenoble). 62 (5) 1765–1809 19 ) we showed that if G is a connected complex reductive group of type A and is the weight monoid of a spherical G -module, then M is an affine space. Here we prove that this remains true without any restriction on the type of G .
ISSN:1386-923X
1572-9079
DOI:10.1007/s10468-016-9614-7