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101.
J. N. Alonso Alvarez J. M. Fernández Vilaboa E. Villanueva Novoa 《Applied Categorical Structures》1998,6(2):239-265
When C is a symmetric closed category with equalizers and coequalizers and H is a Hopf algebra in C, the category of Yetter—Drinfeld H-modules is a braided monoidal category.We develop a categorical version of the results in (10) constructing a Brauer group BQ(C,H) and studying its functorial properties. 相似文献
102.
103.
设{D',D,D'';i^*,i*=i!,i^!,j!,j^*=j^!,j*)是一个recollement,本文证明了当D有AR-三角时,D',D''也有AR-三角,并且它们的AR-三角完全可由D中AR-三角诱导. 相似文献
104.
A general framework for cluster tilting is set up by showing that any quotient of a triangulated category modulo a tilting
subcategory (i.e., a maximal 1-orthogonal subcategory) carries an induced abelian structure. These abelian quotients turn
out to be module categories of Gorenstein algebras of dimension at most one.
相似文献
105.
Elias Gabriel Minian 《K-Theory》2006,37(3):249-261
We show how to construct a categorical spectrum of small categories, and hence a cohomology theory, starting from a Γ-category.
This extends Segal’s infinite loop space machine for topological spaces to small categories. Our results form a part of Bak’s
program for delooping global actions, global categories, and related objects. 相似文献
106.
Alexandru E. Stanculescu 《Topology and its Applications》2008,155(13):1434-1438
We examine the proof of a classical localization theorem of Bousfield and Friedlander and we remove the assumption that the underlying model category be right proper. The key to the argument is a lemma about factoring in morphisms in the arrow category of a model category. 相似文献
107.
We consider algebras in a modular tensor category C. If the trace pairing of an algebra A in C is non-degenerate we associate to A a commutative algebra Z(A), called the full centre, in a doubled version of the category C. We prove that two simple algebras with non-degenerate trace pairing are Morita-equivalent if and only if their full centres are isomorphic as algebras. This result has an interesting interpretation in two-dimensional rational conformal field theory; it implies that there cannot be several incompatible sets of boundary conditions for a given bulk theory. 相似文献
108.
109.
Marcello Bernardara 《Mathematische Nachrichten》2009,282(10):1406-1413
A semiorthogonal decomposition for the bounded derived category of coherent sheaves on a Brauer–Severi scheme is given. It relies on bounded derived categories of suitably twisted coherent sheaves on the base (© 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
110.
Amnon Neeman 《K-Theory》2000,20(2):97-174
Let A and B be Abelian categories. Let H: A B be a bounded -functor. We prove that H induces a natural map in higher K-theory. From a more precise analysis of the proof, we deduce that it is possible to define a K-theory of the bounded derived category of A, which contains Quillen's K-theory of A as a retract. 相似文献