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20012025
most citedKac-Moody groups and cluster algebras

177 citations

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Showing 2003Show all

6 papers · 1 filter

math.GR2003

Conjugacy in Artin groups and applications to the classification of surfaces

Eddy Godelle, Mina Teicher, Shmuel Kaplan

We show thatthe double reversing algorithm proposed by dehornoy for solving the word problem in the braid group can also be used to recognize the conjugates of powers of the genera…

math.FA2003

On Metric Completness and Completness in sense of Lattices

Serguei Samborski

We give an answer to the following question: for which metric in an abstract lattice the completion as a metric space coincides with the completion as a lattice. We obtain the answ…

math.OC2003

On Linearity of Nonclassical Differentiation

Serguei Samborski

We introduce a real vector space composed of set-valued maps on an open set X and note it by S. It is a complete metric space and a complete lattice. The set of continuous function…

math.GT2003

Braids in trivial braid diagrams

Patrick Dehornoy

We show that every trivial 3-strand braid diagram contains a disk, defined as a ribbon ending in opposed crossings. Under a convenient algebraic form, the result extends to every A…

math.NT2003★ 6 cited

Invariants de classes : le cas semi-stable

Jean Gillibert

We define here an analogue, for a semi-stable group scheme whose generic fiber is an abelian variety, of M. J. Taylor's class-invariant homomorphism (defined for abelian schemes),…

math.QA2003

Constructible characters and canonical bases

Bernard Leclerc, Hyohe Miyachi

We give closed formulas for all vectors of the canonical basis of a level 2 irreducible integrable representation of . These formulas coincide at v=1 with Lusztig's…