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CDC
2008
IEEE
152views Control Systems» more  CDC 2008»
15 years 4 months ago
Coordination on Lie groups
— This paper studies the coordinated motion of a group of agents evolving on a Lie group. Left- or rightinvariance with respect to the absolute position on the group lead to two ...
Alain Sarlette, Silvere Bonnabel, Rodolphe Sepulch...
ACS
2002
14 years 9 months 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
IJAC
2010
122views more  IJAC 2010»
14 years 8 months ago
Automorphic orbits in Free Groups: Words versus Subgroups
We show that the following problems are decidable in rank 2 free groups: does a given finitely generated subgroup H contain primitive elements? and does H meet the automorphic or...
Pedro V. Silva, Pascal Weil
STOC
2005
ACM
113views Algorithms» more  STOC 2005»
15 years 10 months ago
Efficient testing of groups
We construct an efficient probabilistic algorithm that, given a finite set with a binary operation, tests if it is an abelian group. The distance used is an analogue of the edit d...
Katalin Friedl, Gábor Ivanyos, Miklos Santh...
SAC
2006
ACM
15 years 3 months ago
Grouping and aggregation in the concept-oriented data model
In the paper we describe the problem of grouping and aggregation in the concept-oriented data model. The model is based on ordering its elements within a hierarchical multidimensi...
Alexandr A. Savinov