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math.RT2016
Complexity of simple modules over the Lie superalgebra
Houssein El Turkey
The complexity of a module is the rate of growth of the minimal projective resolution of the module while the -complexity is the rate of growth of the number of indecomposable s…
math.RT2014
Complexity of modules over classical Lie superalgebras
Houssein El Turkey
The complexity of the simple and the Kac modules over the general linear Lie superalgebra of type was computed by Boe, Kujawa, and Nakano in 2012. A natura…
math.RT2012
Presenting Schur superalgebras
Houssein El Turkey, Jonathan R. Kujawa
We provide a presentation of the Schur superalgebra and its quantum analogue which generalizes the work of Doty and Giaquinto for Schur algebras. Our results include a basis for th…