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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
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 | ||||
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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: |
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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 |
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