Sökning: "projective functors"

Visar resultat 1 - 5 av 8 avhandlingar innehållade orden projective functors.

1. 1. Classification of simple transitive 2-representations

   Författare :Jakob Zimmermann; Volodymyr Mazorchuk; Joseph Chuang; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; 2-representation theory; 2-categories; Soergel bimodules; projective functors; cell 2-representations; simple transitive 2-representations;

   Sammanfattning : The representation theory of finitary 2-categories is a generalization of the classical representation theory of finite dimensional associative algebras. A key notion in classical representation theory is the notion of simple modules as those are in some sense the building blocks of all modules. LÄS MER

3. 2. Half–Exact Coherent Functors over PIDs and Dedekind Domains

   Författare :Adson Banda; Leif Melkersson; Milagros Izquierdo Barrios; Roy Skjelnes; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : The focus of this thesis is to characterize half–exact coherent functors over principal ideal domains (PIDs) and Dedekind domains. Ever since they where discovered, coherent functors have been useful in the study of some mathematical objects. We aim to explore a little more about them in this thesis. LÄS MER

4. 3. Tensor Products on Category O and Kostant's Problem

   Författare :Johan Kåhrström; Volodymyr Mazorchuk; Henning Haahr Andersen; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Semi-simple Lie algebras; Tensor products; Kostant s problem; Primitive quotients; MATHEMATICS; MATEMATIK;

   Sammanfattning : This thesis consists of a summary and three papers, concerning some aspects of representation theory for complex finite dimensional semi-simple Lie algebras with focus on the BGG-category O.Paper I is motivated by the many useful properties of functors on category O given by tensoring with finite dimensional modules, such as projective functors and translation functors. LÄS MER

5. 4. Cofinality Properties of Categories of Chain Complexes

   Författare :Fredrik Nordström; Wojciech Chachólski; Kathryn Hess; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

   Sammanfattning : This thesis treats a family of categories, the chain categories of an A-module M, and functors indexed by them. Among the chain categories are two classical constructions; the category of finitely generated projective Amodules, and the category of finitely generated free A-modules, here denoted by P0(0) and Sing(0) respectively. LÄS MER

7. 5. Tame representations in Topological Data Analysis: decompositions, invariants and metrics

   Författare :Francesca Tombari; Wojciech Chachólski; Patrizio Frosini; Peter Bubenik; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; topological data analysis; tameness; decompositions; invariants; metrics; Matematik; Mathematics;

   Sammanfattning : This thesis is a compilation of results that can be framed within the field of applied topology. The starting point of our study is objects presenting a possibly complex intrinsic geometry. The main goal is then to simplify, without trivializing, the geometric information characterising these objects by choosing an appropriate representation. LÄS MER