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Kulish, P. P.; Reshetikhin, N. Yu.; Sklyanin, E. K.

Yang-Baxter equation and representation theory. I. (English) Zbl 0502.35074

Lett. Math. Phys. 5, 393-403 (1981).
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Cited in 348 Documents

MSC:

35Q99 Partial differential equations of mathematical physics and other areas of application
81U20 \(S\)-matrix theory, etc. in quantum theory
17B25 Exceptional (super)algebras
17B45 Lie algebras of linear algebraic groups

Keywords:

Yang-Baxter equation; representation theory; invariant solutions; R- matrix; finite-dimensional irreducible representations
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References:

[1] Sklyanin, E.K.,Doklady AN SSSR 244, 1337 (1979).
[2] Faddeev, L.D., Sklyanin, E.K. and Takhtajan, L.A.,Teor. Mat. Fiz. 40, 194 (1979).
[3] Kulish, P.P. and Sklyanin, E.K.,Phys. Lett. A 70A, 461 (1979). · doi:10.1016/0375-9601(79)90365-7
[4] Faddeev, L.D., in:Soviet Scientific Reviews, Harvard Academic, London,C1, 1980, p. 107.
[5] Yang, C.N.,Phys. Rev. Lett. 19, 1312 (1967). · Zbl 0152.46301 · doi:10.1103/PhysRevLett.19.1312
[6] Baxter, R.J.,Ann. Phys. 70, 193 (1972). · Zbl 0236.60070 · doi:10.1016/0003-4916(72)90335-1
[7] Kulish, P.P. and Sklyanin, E.K.,Zapiski nauch. semin. LOMI 95, 129 (1980).
[8] Zamolodchikov, A.B. and Zamolodchikov, Al.B.,Ann. Phys. 120, 253 (1979). · doi:10.1016/0003-4916(79)90391-9
[9] Sklyanin, E.K., preprint LOMI-E-3-79, Leningrad (1979).
[10] Belavin, A.A.,Funkt. Analiz i ego pril 14, 18 (1980).
[11] Fateev, V.A. and Zamolodchikov, A.B.,Yadernaya Fizika 32, 581 (1980); Fateev, V.A., preprint TH 2950-CERN (1980).
[12] Kulish, P.P. and Reshetikhin, N.Yu.,Zapiski nauch. semin. LOMI 101, 112 (1980).
[13] Karowski, M.,Nucl. Phys. B. 153, 244 (1979). · doi:10.1016/0550-3213(79)90600-X
[14] Fedorov, F.I.,Gruppa Lorentza, Nauka, Moskwa, 1979, p. 117.
[15] Shiffman, G.,Bull. Math. Soc. France 99, 3 (1971).
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