output
20012025
most citedKac-Moody groups and cluster algebras

177 citations

Showing 2007Show all

7 papers · 1 filter

math.GR2007★ 1 cited

Comparing Gröbner bases and word reversing

Marc Autord

Gröbner bases, in their noncommutative version, and word reversing are methods for solving the word problem of a presented monoid, and both rely on iteratively completing the initi…

math.RT2007★ 4 cited

Cluster algebras and preprojective algebras : the non simply-laced case

Laurent Demonet

We generalize to the non simply-laced case results of Geiß, Leclerc and Schröer about the cluster structure of the coordinate ring of the maximal unipotent subgroups of simple Lie…

math.GT2007★ 14 cited

The classification and the conjugacy classes of the finite subgroups of the sphere braid groups

Daciberg Lima Gonçalves, John Guaschi

Let n\geq 3. We classify the finite groups which are realised as subgroups of the sphere braid group B_n(S^2). Such groups must be of cohomological period 2 or 4. Depending on the…

math.LO2007★ 10 cited

Unprovability results involving braids

Lorenzo Carlucci, Patrick Dehornoy, Andreas Weiermann

We construct long sequences of braids that are descending with respect to the standard order of braids (``Dehornoy order''), and we deduce that, contrary to all usual algebraic pro…

math.GR2007★ 14 cited

Classification of the virtually cyclic subgroups of the pure braid groups of the projective plane

Daciberg Lima Gonçalves, John Guaschi

We classify the (finite and infinite) virtually cyclic subgroups of the pure braid groups of the projective plane. The maximal finite subgroups of are i…

math.NT2007★ 6 cited

On the p-adic Leopoldt Transform of a power series

Bruno Angles

In this paper we give a bound for the Iwasawa lambda invariant of an abelian number field attached to the cyclotomic Z_p-extension of that field. We also give some properties of Iw…