Add to ORKGWe determine a necessary and sucient condition for the irreducibility of the n-dimensional local homogeneous representation ϕ 3 of the braid group B n for all n ≥ 3. Then, we study the irreducibility of all local linear representations of the braid group B 3 of degree 3. We prove that a local representation of type 1 is reduced to a representation of Burau type. Also, we nd a necessary and sucient condition for the irreducibility of any local representation of type 2. Moreover, we construct a representation of B 3 of degree 6 using the tensor product of local representations of type 2. We determine a necessary and sucient condition that guarantees the irreducibility of the obtained representation
We give a complete classification of simple representations of the braid group B3 with dimension ≤ 5...
AbstractThis paper is devoted to characterizations of the (reduced) Burau representation of the Arti...
In this thesis, we investigate various problems in the representation theory of finite groups of Lie...
We determine a necessary and sucient condition for the irreducibility of the n-dimensional local hom...
Abstract. Following up on our result in [1], we find a milder sufficient condition for the tensor pr...
The irreducible complex representations of degree at most n- 1 of the braid group Bn on n strings ar...
Abstract: The reduced Gassner representation is a multi-parameter representation of Pn, the pure bra...
AbstractWe show that the representation, introduced by Lawrence and Krammer to show the linearity of...
We consider the complex specializations of Krammer’s representation of the pure braid group on three...
AbstractThe reduced Burau representation is a one-parameter representation of Bn, the braid group on...
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...
Abstract. We considerWada’s representation of the braid group3, namely 3() : 3 → (3Z[±1]). Specializ...
We give a complete classification of simple representations of the braid group B3 with dimension ≤ 5...
AbstractIn 1996, E. Formanek classified all the irreducible complex representations of Bn of dimensi...
We give a complete classification of simple representations of the braid group B3 with dimension ≤ 5...
AbstractThis paper is devoted to characterizations of the (reduced) Burau representation of the Arti...
In this thesis, we investigate various problems in the representation theory of finite groups of Lie...
We determine a necessary and sucient condition for the irreducibility of the n-dimensional local hom...
Abstract. Following up on our result in [1], we find a milder sufficient condition for the tensor pr...
The irreducible complex representations of degree at most n- 1 of the braid group Bn on n strings ar...
Abstract: The reduced Gassner representation is a multi-parameter representation of Pn, the pure bra...
AbstractWe show that the representation, introduced by Lawrence and Krammer to show the linearity of...
We consider the complex specializations of Krammer’s representation of the pure braid group on three...
AbstractThe reduced Burau representation is a one-parameter representation of Bn, the braid group on...
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...
Abstract. We considerWada’s representation of the braid group3, namely 3() : 3 → (3Z[±1]). Specializ...
We give a complete classification of simple representations of the braid group B3 with dimension ≤ 5...
AbstractIn 1996, E. Formanek classified all the irreducible complex representations of Bn of dimensi...
We give a complete classification of simple representations of the braid group B3 with dimension ≤ 5...
AbstractThis paper is devoted to characterizations of the (reduced) Burau representation of the Arti...
In this thesis, we investigate various problems in the representation theory of finite groups of Lie...