In this paper, we use topological techniques to construct generalized trace and modified
dimension functions on ideals in certain ribbon categories. Examples of such ribbon …

We initiate the representation theory of restricted Lie superalgebras over an algebraically
closed field of characteristic p> 2. A superalgebra generalization of the celebrated Kac …

Unlike Lie algebras, the finite dimensional complex representations of a simple Lie
superalgebra are usually not semisimple. As a consequence, despite over thirty years of …

Let \mathfrakg=\mathfrakg_̄0⊕\mathfrakg_̄1 be a classical Lie superalgebra and
\mathcalF be the category of finite-dimensional \mathfrakg-supermodules which are …

The modular representation theory of the queer Lie superalgebra q (n) over characteristic p>
2 is developed. We obtain a criterion for the irreducibility of baby Verma modules with …

We introduce the notion of splitting subgroups of quasireducitve supergroups, and explain
their significance. For $ GL (m| n) $, $ Q (n) $, and defect one basic classical supergroups …

Tensor triangular geometry as introduced by Balmer [3] is a powerful idea which can be
used to extract the ambient geometry from a given tensor triangulated category. In this paper …

We define and study cohomological tensor functors from the category $ T_n $ of finite-
dimensional representations of the supergroup $ Gl (n| n) $ into $ T_ {nr} $ for $0< r\leq n …

We study the spectrum of the cohomology rings of cocommutative Hopf superalgebras,
restricted and non-restricted Lie superalgebras, and finite supergroup schemes. We also …

The representation category A= Rep (G, 𝜖) A=Rep(G,ϵ) of a supergroup scheme G has a
largest proper tensor ideal, the ideal NN of negligible morphisms. If we divide AA by NN we …