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Invariant tensors for the spin representation of (7)

Published online by Cambridge University Press:  01 January 2008

BRUCE W. WESTBURY
BRUCE W. WESTBURY*
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL e-mail: Bruce.Westbury@warwick.ac.uk
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Abstract

We give a graphical calculus for the invariant tensors of the eight dimensional spin representation of the quantum group Uq(B3). This leads to a finite confluent presentation of the centraliser algebras of the tensor powers of this representation and a construction of a cellular basis.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 144 , Issue 1 , January 2008 , pp. 217 - 240
Copyright
Copyright © Cambridge Philosophical Society 2008

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