经典代数超群的Bernstein-Gel'fand-Gel'fand互易性与不可分解投射模
Bernstein-Gel'fand-Gel'fand reciprocity and indecomposable projective modules for classical algebraic supergroups
摘要：
证明了代数超群上满足一定条件的有限维模范畴的BGG型互易律。在这种情况下，标准模的等价物是一个虚模，由于它的几何解释而被称为欧拉示性数。在正交辛情形下，我们也用这些欧拉示性数描述了不可分解的投射模。
英文摘要：
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.
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