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A Hopf laboratory for symmetric functions
Citation
Fauser, B and Jarvis, PD, A Hopf laboratory for symmetric functions, Journal of Physics A-Mathematical and General, 37, (5) pp. 1633-1663. ISSN 0305-4470 (2004) [Refereed Article]
DOI: doi:10.1088/0305-4470/37/5/012
Abstract
An analysis of symmetric function theory is given from the perspective of the underlying Hopf and bi-algebraic structures. These are presented explicitly in terms of standard symmetric function operations. Particular attention is focused on Laplace pairing, Sweedler cohomology for 1- and 2-cochains and twisted products (Rota cliffordizations) induced by branching operators in the symmetric function context. The latter are shown to include the algebras of symmetric functions of orthogonal and symplectic type. A commentary on related issues in the combinatorial approach to quantum field theory is given.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Research Division: | Physical Sciences |
| Research Group: | Other Physical Sciences |
| Research Field: | Physical Sciences not elsewhere classified |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding Knowledge |
| Objective Field: | Expanding Knowledge in the Physical Sciences |
| Author: | Fauser, B (Dr Bertfried Fauser) |
| Author: | Jarvis, PD (Dr Peter Jarvis) |
| ID Code: | 30821 |
| Year Published: | 2004 |
| Web of Science® Times Cited: | 17 |
| Deposited By: | Physics |
| Deposited On: | 2004-08-01 |
| Last Modified: | 2011-08-01 |
| Downloads: | 0 |
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