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Your search keyword '"E. Finch"' showing total 4 results
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4 results on '"E. Finch"'

1. Universal Baxterization for \bb{Z} -graded Hopf algebras.

Author

K A Dancer, P E Finch, and P S Isaac

Subjects
YANG-Baxter equation, HOPF algebras, QUANTUM groups, MATHEMATICAL analysis, MATHEMATICAL physics
Abstract

We present a method for Baxterizing solutions of the constant Yang-Baxter equation associated with \bb{Z} -graded Hopf algebras. To demonstrate the approach, we provide examples for the Taft algebras and the quantum group Uq[sl(2)]. [ABSTRACT FROM AUTHOR]

Published
2007
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4. Theta function solutions of the quantum Knizhnik–Zamolodchikov–Bernard equation for a face model.

Author

Peter E Finch, Paul Zinn-Justin, and Robert Weston

Subjects
KNIZHNIK-Zamolodchikov equations, THETA functions, QUANTUM field theory, DIFFERENTIAL equations, EIGENVECTORS, TRANSFER matrix
Abstract

We consider the quantum Knizhnik–Zamolodchikov–Bernard equation for a face model with elliptic weights, the SOS model. We provide explicit solutions as theta functions. On the so-called combinatorial line, in which the model is equivalent to the three-colour model, these solutions are shown to be eigenvectors of the transfer matrix with periodic boundary conditions. [ABSTRACT FROM AUTHOR]

Published
2016
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