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20012025
most citedKac-Moody groups and cluster algebras

177 citations

Showing 2017Show all

17 papers · 1 filter

math.GR2017

Gcd-monoids arising from homotopy groupoids

Friedrich Wehrung

The interval monoid (P) of a poset P is defined by generators [x, y], where x y in P , and relations [x, x] = 1, [x, z] = [x, y] [y, z] for x y z. It…

math.GR2017

The Braid Shelf

Patrick Dehornoy

The braids of can be equipped with a selfdistributive operation enjoying a number of deep properties. This text is a survey of known properti…

math.NT2017★ 8 cited

Patching over Berkovich Curves and Quadratic Forms

Vlerë Mehmeti

We extend field patching to the setting of Berkovich analytic geometry and use it to prove a local-global principle over function fields of analytic curves. We apply this result to…

math.AT2017★ 9 cited

Generalized Long-Moody functors

Arthur Soulié

In this paper, we generalize the principle of the Long-Moody construction for representations of braid groups to other groups, such as mapping class groups of surfaces. Namely, we…

math.GR2017★ 1 cited

Interval Garside Structures for the Complex Braid Groups B(e,e,n)

Georges Neaime

We define geodesic normal forms for the general series of complex reflection groups G(e,e,n). This requires the elaboration of a combinatorial technique in order to explicitly dete…

math.QA2017★ 61 cited

On structure groups of set-theoretic solutions to the Yang-Baxter equation

V. Lebed, L. Vendramin

This paper explores the structure groups of finite non-degenerate set-theoretic solutions to the Yang-Baxter equation. Namely, we construct a finite quotient $\…