The Quantum bialgebra associated with the eight vertex R matrix - INSPIRE

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The Quantum bialgebra associated with the eight vertex R matrix

D.B. Uglov
(
- SUNY, Stony Brook
)

Feb, 1993

5 pages

Part of Collected papers of Denis B. Uglov, 7-9

Published in:

Lett.Math.Phys. 28 (1993) 139-142

e-Print:

hep-th/9302139 [hep-th]

DOI:

10.1007/BF00750306

Report number:

PRINT-93-0252 (SUNY,STONY-BROOK)

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Abstract:

The quantum bialgebra related to the Baxter's eight-vertex R-matrix is found as a quantum deformation of the Lie algebra of sl(2)-valued automorphic functions on a complex torus.

References(6)

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Eight vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. 1. Some fundamental eigenvectors

Rodney J. Baxter
(
- SUNY, Stony Brook
)

- Annals Phys. 76 (1973) 1-24
•
DOI:
- 10.1016/0003-4916(73)90439-9

- J.Sov.Math. 46 1631

- Funct.Anal.Appl. 17 220

Some algebraic structures connected with the Yang-Baxter equation

E.K. Sklyanin
(
- Steklov Math. Inst., St. Petersburg
)

- Funct.Anal.Appl. 16 (1982) 263-270,
- Funkt.Anal.Pril. 16N4 (1982) 27-34
•
DOI:
- 10.1007/BF01077848

- Commun.Math.Phys. 142 261

- Enseign.Math. 36 267