9 search results - page 1 / 2 » The Fusion Algebra of Bimodule Categories |
ACS
2008
13 years 11 months ago
2008
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...
ACS
2002
13 years 10 months ago
2002
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 ...
ACS
2008
13 years 11 months ago
2008
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 ...
ENTCS
2008
13 years 11 months ago
2008
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...
ICFP
2006
ACM
14 years 10 months ago
2006
ACM
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...