Bernstein-Gelfand-Gelfand reciprocity and indecomposable projective modules for classical algebraic supergroupsReport as inadecuate




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1 Géométrie IECL - Institut Élie Cartan de Lorraine 2 University of California Berkeley

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.

Keywords : Flag variety BGG reciprocity law Finite dimensional representations of algebraic supergroups





Author: Caroline Gruson - Vera Serganova -

Source: https://hal.archives-ouvertes.fr/



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