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20012025
most citedKac-Moody groups and cluster algebras

177 citations

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math.GR2009

The subword reversing method

Patrick Dehornoy

We summarize the main known results involving subword reversing, a method of semigroup theory for constructing van Kampen diagrams by referring to a preferred direction. In good ca…

math.NT2009★ 1 cited

Computing the torsion points of a variety defined by lacunary polynomials

Louis Leroux

We present an algorithm for computing the set of torsion points satisfying a given system of multivariate polynomial equations. Its complexity is quasilinear in the logarithm of th…

math.NT2009

Explicit CM-theory for level 2-structures on abelian surfaces

Reinier Broker, David Gruenewald, Kristin Lauter

For a complex abelian variety with endomorphism ring isomorphic to the maximal order in a quartic CM-field , the Igusa invariants generate an abelian…

math.RT2009★ 43 cited

Categorification of skew-symmetrizable cluster algebras

Laurent Demonet

We propose a new framework for categorifying skew-symmetrizable cluster algebras. Starting from an exact stably 2-Calabi-Yau category C endowed with the action of a finite group G,…

math.GR2009

Combinatorial distance between braid words

Patrick Dehornoy

We give a simple naming argument for establishing lower bounds on the combinatorial distance between (positive) braid words.

math.GT2009★ 19 cited

Embeddings of the braid groups of covering spaces, classification of the finite subgroups of the braid groups of the real projective plane, and linearity of braid groups of low-genus surfaces

Daciberg Lima Gonçalves, John Guaschi

Let M be a compact, connected surface, possibly with a finite set of points removed from its interior. Let d,n be positive integers, and let N be a d-fold covering space of M. We s…