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Invariant tensors for the spin representation of $\frak{so}$(7)
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Westbury, Bruce W. (2008) Invariant tensors for the spin representation of $\frak{so}$(7). Cambridge Philosophical Society. Mathematical Proceedings, Vol.14 (No.1). pp. 217-240. doi:10.1017/S0305004107000722 ISSN 0305-0041.
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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 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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Invariants, Calculus of tensors, Yang-Baxter equation, Lie algebras, R-matrices, Geometry, Differential | ||||
Journal or Publication Title: | Cambridge Philosophical Society. Mathematical Proceedings | ||||
Publisher: | Cambridge University Press | ||||
ISSN: | 0305-0041 | ||||
Official Date: | 21 January 2008 | ||||
Dates: |
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Volume: | Vol.14 | ||||
Number: | No.1 | ||||
Page Range: | pp. 217-240 | ||||
DOI: | 10.1017/S0305004107000722 | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) |
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