Resumen de Categorification of tensor powers of the vector representation of Uq(gl(1|1))

Antonio Sartori

• We consider the monoidal subcategory of finite-dimensional representations of Uq(gl(1|1))Uq(gl(1|1)) generated by the vector representation, and we provide a diagram calculus for the intertwining operators, which allows to compute explicitly the canonical basis. We construct then a categorification of these representations and of the action of both Uq(gl(1|1))Uq(gl(1|1)) and the intertwining operators using subquotient categories of the BGG category .