E-Dissertationen: Suche
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Quantum cluster algebras and the dual canonical basis
(2011-03-14)
Let Q be either a Dynkin quiver of type A with alternating orientation or the Kronecker quiver. With the indecomposable injective modules over the path algebra of Q and their Auslander-Reiten translates we associate an ...
Relative singularity categories
(2013-12-05)
In this thesis, we study a new class of triangulated categories associated with singularities of algebraic varieties. For Gorenstein rings, triangulated singularity categories were introduced by Buchweitz. In 2006 Orlov ...
Categorification of tensor powers of the vector representation of Uq(gl(1|1))
(2014-06-17)
We consider the monoidal subcategory of finite-dimensional representations of Uq(gl(1|1)) generated by the vector representation, and we provide a graphical calculus for the intertwining operators, which enables ...