The Faculty of Mathematics and Natural Sciences: Search
Now showing items 1-4 of 4
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 ...
Torsion classes, wide subcategories and maximal green sequences
(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 ...