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41	A classification of localizing subcategories by relative homological algebra Nadareishvili, George 16 October 2015 (has links) No description available. 510 C-algebra Kasparov category homological algebra triangulated category non-commutative topology filtrations of C-algebras C*-algebras over a topological space localizing subcategory localising subcategory Bivariant K-theory Filtrated K-theory relative homological algebra bootstrap class KK-theory ring of upper triangular matrices Mathematics (PPN61756535X)
42	Universal Coefficient Theorems in Equivariant KK-theory / Universelle Koeffizienten Theoreme in äquivarianter KK-theorie Köhler, Manuel 15 December 2010 (has links) No description available. K-theorie KK-theorie universelles Koeffizienten Theorem C-algebren homologische Algebra triangulierte Kategorien Gruppenwirkung zyklische Gruppe K-theory KK-theory universal coefficient theorem C-algebras homological algebra triangulated categories group action cyclic group
43	The Ext-Algebra of Standard Modules of Bound Twisted Double Incidence Algebras Norlén Jäderberg, Mika January 2023 (has links) Quasi-hereditary algebras are an important class of algebras with many appli-cations in representation theory, most notably the representation theory of semi-simple complex Lie-algebras. Such algebras sometimes admit an exact Borel sub-algebra, that is a subalgebra satisfying similar formal properties to the Borel sub-algebras from Lie theory. This thesis is divided into two parts. In the first part we classify quasi-hereditary algebras with two simple modules over perfect fields up to Morita equivalence, generalizing a similar result by Membrillo-Hernandez for thealgebraically closed case. In the second part, we take a poset X, a certain set M of constants, and a finite set ρ of paths in the Hasse-diagram of X and construct analgebra A(X, M, ρ) that generalizes the twisted double incidence algebras originally introduced by Deng and Xi. We provide necessary and sufficient conditions for this algebra to be quasi-hereditary when X is a tree, and we show that A(X, M, ρ) admits an exact Borel subalgebra when these conditions are satisfied. Following this, we compute the Ext-algebra of the standard modules of A(X, M, ρ). Algebras Finite-dimensional Partially ordered sets Modules Quasi-hereditary Ext-algebra Schur algebra Quiver Path algebra Categories Morita equivalence Yoneda product Standard module Homological algebra Cohomology Anick Chains Algebra and Logic Algebra och logik
44	On Infravacua and the Superselection Structure of Theories with Massless Particles / Über Infravakua und die Superauswahlstruktur von Theorien mit masselosen Teilchen Kunhardt, Walter 27 June 2001 (has links) No description available. 530 Physik Superauswahlsektoren Ladung masselose Teilchen langreichweitige Wechselwirkung monoidale Kategorien Infravakuum Vakuum Kozykel Lokalisierung superselection sectors charge massless particles long-range interaction monoidal catergories infravacuum vacuum cocycles localisation 33.24 EBID 100: Monoidal categories symmetric monoidal categories EIBT

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