In this thesis we deal with modular categories as well as their equivariant versions. For any finite group G, we give a geometric construction of a class of G-modular categories, by using the correspondence between equivariant modular categories and extended 3-dimensional topological field theories. We also investigate G-equivariant structures on (weak) Hopf algebras and their strictification. In dieser Arbeit untersuchen wir modulare und aquivariant-modulare Tensorkategorien. Wir geben, fur jede endliche Gruppe G, eine geometrische Konstruktion einer Klasse von G-modularen Kategorien, indem wir die Korrespondenz von G-aquivarianten erweiterten 3-dimensionalen topologischen Feldtheorien und G-aquivariant-modularen Kategorien ausnutzen. Daruber hinaus untersuchen wir die Striktifizierung von G-aquivarianten Strukturen auf (schwachen) Hopf Algebren.

A weakly equivariant Hopf algebra is a Hopf algebra A with an action of a finite group G up to inner automorphisms. We show that each weakly equivariant Hopf algebra can be replaced by a Morita equivalent algebra B with a strict action of G and with a coalgebra structure that leads to a tensor equivalent representation category. However, the coproduct of this strictification cannot, in general, be chosen to be unital, so that a strictification of the G-action can only be found on a weak Hopf algebra B.

Based on a weak action of a finite group J on a finite group G, we present a geometric construction of J-equivariant Dijkgraaf-Witten theory as an extended topological field theory. The construction yields an explicitly accessible class of equivariant modular tensor categories. For the action of a group J on a group G, the category is described as the representation category of a J-ribbon algebra that generalizes the Drinfel'd double of the finite group G.

It is known that finite crossed modules provide premodular tensor categories. These categories are in fact modularizable. We construct the modularization and show that it is equivalent to the module category of a finite Drinfeld double.

The acceptance of a treatment depends on what patients experience as helpful or not. In the treatment of anorexia nervosa, the patient's perspective is of special importance as patients are typically highly ambivalent concerning a change in their dysfunctional attitudes and behaviour. 102 patients with anorexia nervosa (ICD-10) evaluated the components of a complex, multimodal treatment programme (inpatient and day clinic) at the end of therapy or follow-up. Overall, psychodynamic as well as symptom-oriented treatment components were experienced as "helpful". Psychodynamic individual sessions received the best assessments. Individual sessions got higher ratings than group sessions. Patients with less successful outcomes described symptom oriented elements like weight goals and work on eating behaviour as significantly less helpful. Lower rankings of some symptom oriented components were associated with more overall symptom severity and bulimic pathology and may point to a feeling of being overtaxed with the programme or a lack of motivation to change.

A new class of bicyclic pyrrolopyrimidine-based Janus kinase 3 (JAK-3) inhibitors are described. Many of these inhibitors showed low nanomolar activity against JAK-3.

A series of C-2, C-8, and N-9 trisubstituted purine based inhibitors of TNF-α production are described. The most potent analogs showed low nanomolar activity against LPS-induced TNF-α production in a THP-1 cell based assay. The SAR of the series was optimized with the aid of X-ray co-crystal structures of these inhibitors bound with mutated p38 (mp38).

A new class of tumor necrosis factor alpha (TNF-alpha) synthesis inhibitors based on a N-2,4-pyrimidine-N-phenyl-N'-alkyl urea scaffold is described. Many of these compounds showed low-nanomolar activity against lipopolysaccharide stimulated TNF-alpha production. Two analogs were tested in an in vivo rat iodoacetate model of osteoarthritis and shown to be orally efficacious. X-ray co-crystallization studies with mutated p38alpha showed that these trisubstituted ureas interact with the ATP-binding pocket in a pseudo-bicyclic conformation brought about by the presence of an intramolecular hydrogen bonding interaction.

This communication details the synthesis, biological activity, and proposed binding mode of a novel class of tri-cyclic derivatives of 1,2-dihydro-pyrimido[4,5-c]pyridazines 1 and 2. The most potent analogs disclosed showed low nanomolar activity for the inhibition of Lck kinase.

This communication details the synthesis, biological activity, and binding mode of a novel class of 2-benzimidazole substituted pyrimidines. The most potent analogs disclosed showed low nanomolar activity for the inhibition of Lck kinase and a representative analog was co-crystallized with Hck (a structurally related member of the Src family kinases).

A new class of tumor necrosis factor alpha (TNF-alpha) synthesis inhibitors based on an N-2,4-pyrimidine-N-phenyl-N'-phenyl urea scaffold is described. Many of these compounds showed low-nanomolar activity against lipopolysaccharide stimulated TNF-alpha production. X-ray co-crystallization studies with mutated p38alpha showed that these trisubstituted ureas interact with the ATP-binding pocket in a pseudo-bicyclic conformation brought about by the presence of an intramolecular hydrogen bonding interaction.

A new class of lymphocyte specific tyrosine kinase (lck) inhibitors based on an N-4,6-pyrimidine-N-alkyl-N'-phenyl urea scaffold is described. Many of these compounds showed low-nanomolar inhibition of lck kinase activity as well as IL-2 synthesis from Jurkat cells. One of these analogs, 7i, was shown to be orally efficacious by in vivo testing in a rat adjuvant-induced arthritis study.

This paper details the synthesis of a novel class of 1,2-dihydro-pyrimido[4,5-c]pyridazines and substituted 1,2-dihydro-3a,7,9,9b-tetraaza-cyclopenta[a] naphthalen-3-one. The most potent analogs disclosed showed low nanomolar activity for the inhibition of lck kinase.