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Invariant tensors for the spin representation of so(7)

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Westbury, Bruce W. (2008) Invariant tensors for the spin representation of so(7). Mathematical Proceedings of the Cambridge Philosophical Society, Vol.144 (Part 1). pp. 217-240. doi:10.1017/S0305004107000722

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Official URL: http://dx.doi.org/10.1017/S0305004107000722

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Abstract

We give a graphical calculus for the invariant tensors of the eight dimensional spin representation of the quantum group U-q(B-3). 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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Invariants, Calculus of tensors, Representations of groups
Journal or Publication Title: Mathematical Proceedings of the Cambridge Philosophical Society
Publisher: Cambridge University Press
ISSN: 0305-0041
Official Date: January 2008
Dates:
DateEvent
January 2008Published
Volume: Vol.144
Number: Part 1
Number of Pages: 24
Page Range: pp. 217-240
DOI: 10.1017/S0305004107000722
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

Data sourced from Thomson Reuters' Web of Knowledge

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