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JSC
2007
61views more  JSC 2007»
13 years 6 months ago
Set-theoretic solutions of the Yang-Baxter equation, graphs and computations
Abstract. We extend our recent work on set-theoretic solutions of the YangBaxter or braid relations with new results about their automorphism groups, strong twisted unions of solut...
Tatiana Gateva-Ivanova, Shahn Majid
JSC
2007
152views more  JSC 2007»
13 years 6 months ago
Complete involutive rewriting systems
Given a monoid string rewriting system M, one way of obtaining a complete rewriting system for M is to use the classical Knuth-Bendix critical pairs completion algorithm. It is we...
Gareth A. Evans, Christopher D. Wensley
JSC
2007
97views more  JSC 2007»
13 years 6 months ago
On approximate triangular decompositions in dimension zero
Triangular decompositions for systems of polynomial equations with n variables, with exact coefficients, are well developed theoretically and in terms of implemented algorithms i...
Marc Moreno Maza, Gregory J. Reid, Robin Scott, We...
JSC
2007
104views more  JSC 2007»
13 years 6 months ago
Summation algorithms for Stirling number identities
We consider a class of sequences defined by triangular recurrence equations. This class contains Stirling numbers and Eulerian numbers of both kinds, and hypergeometric multiples...
Manuel Kauers
JSC
2007
71views more  JSC 2007»
13 years 6 months ago
Rational invariants of a group action. Construction and rewriting
Geometric constructions applied to a rational action of an algebraic group lead to a new algorithm for computing rational invariants. A finite generating set of invariants appear...
Evelyne Hubert, Irina A. Kogan