Generalizations of the standard Artin representation are unitary | Zendy

Mohammad N. Abdulrahim | Zendy

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Generalizations of the standard Artin representation are unitary

Author(s) -

Mohammad N. Abdulrahim

Publication year - 2005

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/ijmms.2005.1321

Subject(s) - mathematics , braid group , unitary representation , unitary state , representation (politics) , induced representation , unitary matrix , pure mathematics , unitary group , representation theory of finite groups , braid theory , hermitian matrix , matrix representation , braid , algebra over a field , group (periodic table) , combinatorics , irreducible representation , chemistry , materials science , organic chemistry , composite material , lie group , politics , political science , law

We consider the Magnus representation of the image of the braid group under the generalizations of the standard Artin representation discovered by M. Wada. We show that the images of the generators of the braid group under the Magnus representation are unitary relative to a Hermitian matrix. As a special case,we get that the Burau representation is unitary, which was known and proved by C. C. Squier

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