2016/02/03 by Houssein El Turkey, Turkey, Houssein El
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Advanced Algebra and Geometry
paper · pdf · doi:10.48550/arxiv.1602.01361
The complexity of a module is the rate of growth of the minimal projective resolution of the module while the z-complexity is the rate of growth of the number of indecomposable summands at each step in the resolution. Let \mathfrakg=\mathfrakosp(k|2) (k>2) be the type II orthosymplectic Lie superalgebra of types B or D. In this paper, we compute the complexity and the z-complexity of the simple finite-dimensional \mathfrakg-supermodules. We then give geometric interpretations using support and associated varieties for these complexities.