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Artin billiard

Known as: Artin, Artin billiards, Artin's billiards 
In mathematics and physics, the Artin billiard is a type of a dynamical billiard first studied by Emil Artin in 1924. It describes the geodesic… Expand
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Papers overview

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Highly Cited
2004
Highly Cited
2004
This is the second part of a series of papers devoted to develop Homotopical Algebraic Geometry. We start by defining and… Expand
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Highly Cited
2001
Highly Cited
2001
Abstract We study a new monoid structure for Artin groups associated with finite Coxeter systems. Like the classical positive… Expand
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Highly Cited
1999
Highly Cited
1999
I: Algebraic Integers.- II: The Theory of Valuations.- III: Riemann-Roch Theory.- IV: Abstract Class Field Theory.- V: Local… Expand
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Highly Cited
1999
Highly Cited
1999
It is known that a number of algebraic properties of the braid groups extend to arbitrary finite Coxeter-type Artin groups. Here… Expand
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Highly Cited
1995
Highly Cited
1995
 
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Highly Cited
1994
Highly Cited
1994
We give an easily handled algorithm for the word problem in each of Artin’s braid groups, Bn, based on Garside’s methods, but… Expand
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Highly Cited
1989
Highly Cited
1989
A class function on the braid group is derived from the Kauffman link invariant. This function is used to construct… Expand
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Highly Cited
1977
Highly Cited
1977
Representations and characters: generalities on linear representations character theory subgroups, products, induced… Expand
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Highly Cited
1969
Highly Cited
1969
* Introduction * Rings and Ideals * Modules * Rings and Modules of Fractions * Primary Decomposition * Integral Dependence and… Expand
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Highly Cited
1968
Highly Cited
1968
0. Introduction. In the investigation of functors on the category of preschemes, one is led, by Grothendieck [3], to consider the… Expand
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