Add to ORKGWe give a complete classification of simple representations of the braid group B3 with dimension ≤ 5. As an applica-tion of our techniques, we also obtain nontrivial q-versions of some of Deligne’s formulas for dimensions of representations of exceptional Lie groups. 1. We give a complete classification of all simple representations of B3 for dimension d ≤ 5 over an algebraically closed field K of any characteristic. To describe our result in detail, recall that B3 is given by generators σ1 and σ2 which satisfy the relation σ1σ2σ1 = σ2σ1σ2. Moreover, it is well-known that the center of B3 is generated by ζ = (σ1σ2)3. It is easy to see that ζ acts on a simple d-dimensional B3- module via the scalar δ which satisfies the equation δd = det(A)6...
The braid groups, Bn, were first defined by Emil Artin in 1925 and since then have come to play an i...
The braid groups, Bn, were first defined by Emil Artin in 1925 and since then have come to play an i...
AbstractWe show that the representation, introduced by Lawrence and Krammer to show the linearity of...
We give a complete classification of simple representations of the braid group B3 with dimension ≤ 5...
Abstract. Every irreducible component issβ Γ0 of semi-simple n-dimensional representations of the mo...
This article is a short version of a paper which addresses the cohomology of the third braid group a...
AbstractIn 1996, E. Formanek classified all the irreducible complex representations of Bn of dimensi...
Abstract. The braid group representations associated with the eight-dimensional representa-tion of B...
AbstractWe construct representations of the braid groups Bn on n strands on free Z[q±1,s±1]-modules ...
We determine a necessary and sucient condition for the irreducibility of the n-dimensional local hom...
We determine a necessary and sucient condition for the irreducibility of the n-dimensional local hom...
The irreducible complex representations of degree at most n- 1 of the braid group Bn on n strings ar...
Motivated by physical and topological applications, we study representations of the group LB3 of mot...
In the present paper, we study structural aspects of certain quotients of braid groups and virtual b...
AbstractWe prove that all components of n-dimensional simple representations of the three string bra...
The braid groups, Bn, were first defined by Emil Artin in 1925 and since then have come to play an i...
The braid groups, Bn, were first defined by Emil Artin in 1925 and since then have come to play an i...
AbstractWe show that the representation, introduced by Lawrence and Krammer to show the linearity of...
We give a complete classification of simple representations of the braid group B3 with dimension ≤ 5...
Abstract. Every irreducible component issβ Γ0 of semi-simple n-dimensional representations of the mo...
This article is a short version of a paper which addresses the cohomology of the third braid group a...
AbstractIn 1996, E. Formanek classified all the irreducible complex representations of Bn of dimensi...
Abstract. The braid group representations associated with the eight-dimensional representa-tion of B...
AbstractWe construct representations of the braid groups Bn on n strands on free Z[q±1,s±1]-modules ...
We determine a necessary and sucient condition for the irreducibility of the n-dimensional local hom...
We determine a necessary and sucient condition for the irreducibility of the n-dimensional local hom...
The irreducible complex representations of degree at most n- 1 of the braid group Bn on n strings ar...
Motivated by physical and topological applications, we study representations of the group LB3 of mot...
In the present paper, we study structural aspects of certain quotients of braid groups and virtual b...
AbstractWe prove that all components of n-dimensional simple representations of the three string bra...
The braid groups, Bn, were first defined by Emil Artin in 1925 and since then have come to play an i...
The braid groups, Bn, were first defined by Emil Artin in 1925 and since then have come to play an i...
AbstractWe show that the representation, introduced by Lawrence and Krammer to show the linearity of...