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This article is cited in 17 scientific papers (total in 17 papers)
Bernstein–Gelfand–Gelfand reciprocity and indecomposable projective modules for classical algebraic supergroups
Caroline Grusona, Vera Serganovab a Université de Lorraine, U.M.R. 7502 du CNRS, Institut Elie Cartan, 54506 Vandoeuvre-les-Nancy Cedex, France
b Department of Mathematics, University of California, Berkeley, CA, 94720-3840 USA
Abstract:
We prove a BGG type reciprocity law for the category of finite dimensional modules over algebraic supergroups satisfying certain conditions. The equivalent of a standard module in this case is a virtual module called Euler characteristic due to its geometric interpretation. In the orthosymplectic case, we also describe indecomposable projective modules in terms of those Euler characteristics.
Key words and phrases:
finite dimensional representations of algebraic supergroups, flag variety, BGG reciprocity law.
Received: July 15, 2011; in revised form April 24, 2012
Citation:
Caroline Gruson, Vera Serganova, “Bernstein–Gelfand–Gelfand reciprocity and indecomposable projective modules for classical algebraic supergroups”, Mosc. Math. J., 13:2 (2013), 281–313
Linking options:
https://www.mathnet.ru/eng/mmj498 https://www.mathnet.ru/eng/mmj/v13/i2/p281
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Abstract page: | 273 | References: | 68 |
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