Aq-difference analogue of U(g) and the Yang-Baxter equation

Michio Jimbo

doi:10.1007/bf00704588

journal article Jul 01, 1985

Aq-difference analogue of U(g) and the Yang-Baxter equation

Michio Jimbo

Letters in Mathematical Physics Vol. 10 No. 1 pp. 63-69 · Springer Science and Business Media LLC

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References

6

[1]

KulishP. P. and ReshetikhinN. Yu.,J. Soviet Math. 23, 2435 (1983). Russian originalZapiski nauch. semin. LOMI 101, 112 (1980). 10.1007/bf01084171

[2]

KulishP. P. and SklyaninE. K.,J. Soviet Math. 19, 1596 (1982). Russian originalZapiski nauch. semin. LOMI 95, 129 (1980). 10.1007/bf01091463

[3]

Yang-Baxter equation and representation theory: I

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

Letters in Mathematical Physics 1981 10.1007/bf02285311

[4]

KacV. G.,Infinite Dimensional Lie Algebras, Birkh�user, Boston, 1983. 10.1007/978-1-4757-1382-4

[5]

Andrews, G. E.,The Theory of Partitions, Addison-Wesley, 1976.

[6]

Jimbo, M., RIMS preprint506 (1985), to appear inCommun. Math. Phys.

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Details

Published: Jul 01, 1985
Vol/Issue: 10(1)
Pages: 63-69
License: View

Authors

M

Michio Jimbo

Cite This Article

Michio Jimbo (1985). Aq-difference analogue of U(g) and the Yang-Baxter equation. Letters in Mathematical Physics, 10(1), 63-69. https://doi.org/10.1007/bf00704588

Aq-difference analogue of U(g) and the Yang-Baxter equation

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