Krammer's Representation of the Pure Braid Group, | Zendy

Mohammad N. Abdulrahim | Zendy; M. Al Tahan | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Krammer's Representation of the Pure Braid Group,

Author(s) -

Mohammad N. Abdulrahim,

M. Al Tahan

Publication year - 2010

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2010/806502

Subject(s) - braid group , mathematics , braid theory , representation theory of finite groups , group (periodic table) , irreducibility , braid , pure mathematics , representation (politics) , algebra over a field , representation theory , law , geography , chemistry , organic chemistry , archaeology , politics , political science

We consider Krammer's representation of the pure braid group on three strings: 3→(3,[±1,±1]), where and are indeterminates. As it was done in the case of the braid group, 3, we specialize the indeterminates and to nonzero complex numbers. Then we present our main theorem that gives us a necessary and sufficient condition that guarantees the irreducibility of the complex specialization of Krammer's representation of the pure braid group, 3

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research