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ACS
2008
13 years 7 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...
JLP
2010
125views more  JLP 2010»
13 years 6 months ago
Algebraic simulations
Abstract. ComputationalsystemsareoftenrepresentedbymeansofKripkestructures, and related using simulations. We propose rewriting logic as a flexible and executable framework in whi...
José Meseguer, Miguel Palomino, Narciso Mar...
SACRYPT
2001
Springer
14 years 1 days ago
A Simple Algebraic Representation of Rijndael
We show that there is a very straightforward closed algebraic formula for the Rijndael block cipher. This formula is highly structured and far simpler then algebraic formulations o...
Niels Ferguson, Richard Schroeppel, Doug Whiting
FPLE
1995
13 years 11 months ago
Explaining Algebraic Theory with Functional Programs
Abstract. A hierarchy of six important structures from abstract algebra (groups, rings, fields etc.) is introduced as Gofer class definitions and laws about them. Many instance d...
Jeroen Fokker
ITA
2008
111views Communications» more  ITA 2008»
13 years 7 months ago
A new algebraic invariant for weak equivalence of sofic subshifts
It is studied how taking the inverse image by a sliding block code affects the syntactic semigroup of a sofic subshift. Two independent approaches are used: -semigroups as recogni...
Laura Chaubard, Alfredo Costa