Equivariant Degenerations of Spherical Modules: Part II

Papadakis SA, Van Steirteghem B (2016)

Publication Type: Journal article

Publication year: 2016

Journal

Algebras and Representation Theory Springer Verlag (Germany)

Book Volume: 19

Pages Range: 1135-1171

Journal Issue: 5

DOI: 10.1007/s10468-016-9614-7

Abstract

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.

Authors with CRIS profile

Bart van Steirteghem

Involved external institutions

University of Ioannina / Πανεπιστήμιο Ιωαννίνων GR Greece (GR) Medgar Evers College of The City University of New York (CUNY) US United States (USA) (US)

How to cite

APA:

Papadakis, S.A., & Van Steirteghem, B. (2016). Equivariant Degenerations of Spherical Modules: Part II. Algebras and Representation Theory, 19(5), 1135-1171. https://dx.doi.org/10.1007/s10468-016-9614-7

MLA:

Papadakis, Stavros Argyrios, and Bart Van Steirteghem. "Equivariant Degenerations of Spherical Modules: Part II." Algebras and Representation Theory 19.5 (2016): 1135-1171.

BibTeX: Download