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» The Fusion Algebra of Bimodule Categories
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78
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ACS
2008
15 years 10 days 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...
94
Voted
ACS
2002
15 years 2 days ago
Azumaya Categories
We define the notions of Azumaya category and Brauer group in category theory enriched over some very general base category V. We prove the equivalence of various definitions, in ...
Francis Borceux, Enrico Vitale
131
Voted
ACS
2008
15 years 10 days 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
100
Voted
ENTCS
2008
99views more  ENTCS 2008»
15 years 8 days ago
A Categorical Model of the Fusion Calculus
We provide a categorical presentation of the Fusion calculus. Working in a suitable category of presheaves, we describe the syntax as initial algebra of a signature endofunctor, a...
Marino Miculan
ICFP
2006
ACM
16 years 5 days ago
Algebraic fusion of functions with an accumulating parameter and its improvement
We present a unifying solution to the problem of fusion of functions, where both the producer function and the consumer function have one accumulating parameter. The key idea in t...
Shin-ya Katsumata, Susumu Nishimura