Bernstein-Gel'fand-Gel'fand reciprocity and indecomposable projective modules for classical algebraic supergroups
Representation Theory
2011-11-30 v1
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
Cite
@article{arxiv.1111.6959,
title = {Bernstein-Gel'fand-Gel'fand reciprocity and indecomposable projective modules for classical algebraic supergroups},
author = {Caroline Gruson and Vera Serganova},
journal= {arXiv preprint arXiv:1111.6959},
year = {2011}
}