E-Dissertationen: Auflistung E-Dissertationen nach Schlagwort "Darstellungstheorie"
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Categorification of tensor powers of the vector representation of Uq(gl(1|1))
Sartori, Antonio (2014-06-17)We consider the monoidal subcategory of finite-dimensional representations of U<sub>q</sub>(gl(1|1)) generated by the vector representation, and we provide a graphical calculus for the intertwining operators, which enables ... -
Conformal Field Theory Between Supersymmetry and Indecomposable Structures
Eberle, Holger (2006)This thesis considers conformal field theory in its supersymmetric extension as well as in its relaxation to logarithmic conformal field theory.<br /> Compactification of superstring theory on four-dimensional complex ... -
Quantum cluster algebras and the dual canonical basis
Lampe, Philipp (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
Kalck, Martin (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 ... -
Torsion classes, wide subcategories and maximal green sequences
Hofmann, Maximilian (2022-08-26)In this thesis, the relationship between torsion classes and wide subcategories in module categories of finite dimensional algebras is studied. Of particular interest are wide intervals, which are interval subsets of the ...