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ACS
2008
13 years 11 months ago
The Fusion Algebra of Bimodule Categories
We establish an algebra-isomorphism between the complexified Grothendieck ring F of certain bimodule categories over a modular tensor category and the endomorphism algebra of appr...
Jürgen Fuchs, Ingo Runkel, Christoph Schweige...
ACS
2008
13 years 11 months ago
Fundamental Constructions for Coalgebras, Corings, and Comodules
We study the various categories of corings, coalgebras, and comodules from a categorical perspective. Emphesis is given to the question which properties of these categories can be...
Hans-E. Porst
ACS
2008
13 years 11 months ago
On Minimal Coalgebras
Abstract. We define an out-degree for F-coalgebras and show that the coalgebras of outdegree at most form a covariety. As a subcategory of all Fcoalgebras, this class has a termin...
H. Peter Gumm
ACS
2008
13 years 11 months ago
Group Corings
We introduce group corings, and study functors between categories of comodules over group corings, and the relationship to graded modules over graded rings. Galois group corings ar...
Stefaan Caenepeel, K. Janssen, S. H. Wang
ACS
2008
13 years 11 months ago
Subobject Transformation Systems
Abstract Subobject transformation systems (sts) are proposed as a novel formal framework for the analysis of derivations of transformation systems based on the algebraic, double-pu...
Andrea Corradini, Frank Hermann, Pawel Sobocinski
ACS
2008
13 years 11 months ago
Algebras Versus Coalgebras
Algebras and coalgebras are fundamental notions for large parts of mathematics. The basic constructions from universal algebra are now expressed in the language of categories and ...
Robert Wisbauer