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20012025
most citedKac-Moody groups and cluster algebras

177 citations

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12 papers · 1 filter

math.GR2010

Folding of set-theoretical solutions of the Yang-Baxter equation

Fabienne Chouraqui, Eddy Godelle

We establish a correspondence between the invariant subsets of a non-degenerate symmetric set-theoretical solution of the quantum Yang-Baxter equation and the parabolic subgroups o…

math.GR2010

and word problems for infinite type Artin-Tits groups, and applications to virtual braid groups

Eddy Godelle, Luis Paris

Let be a Coxeter graph, let be its associated Coxeter system, and let ) be its associated Artin-Tits system. We regard as a reflection group acting on a real…

math.GT2010★ 8 cited

The lower central and derived series of the braid groups of the projective plane

Daciberg Lima Gonçalves, John Guaschi

We determine the lower central and derived series of the n-string braid groups B_n(RP^2) of the real projective plane. We are motivated in part by the study of Fadell-Neuwirth shor…

math.NT2010★ 1 cited

Drinfeld -quasi-modular forms

Vincent Bosser, Federico Pellarin

The aim of this article is twofold: first, improve the multiplicity estimate obtained by the second author for Drinfeld quasi-modular forms; and then, study the structure of certai…

math.RT2010★ 47 cited

Generic bases for cluster algebras and the Chamber Ansatz

Christof Geiß, Bernard Leclerc, Jan Schröer

Let Q be a finite quiver without oriented cycles, and let be the corresponding preprojective algebra. Let g be the Kac-Moody Lie algebra with Cartan datum given by Q, and let W…

math.GT2010★ 27 cited

The Borsuk-Ulam theorem for maps into a surface

Daciberg Lima Gonçalves, John Guaschi

Let (X, t, S) be a triple, where S is a compact, connected surface without boundary, and t is a free cellular involution on a CW-complex X. The triple (X, t, S) is said to satisfy…