Abstract
A review of Uq sl(2) representation theory for q a root of unity is given; physical applications to integrable systems or conformal theories are discussed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Drinfeld, in Proceedings of the International Congress of Mathematicians, Berkeley (1986).
P.P. Kulish, N. Yu Reshetikhin, J. Sov. Math. 23, 2435 (1983).
Jimbo, Lett. Math. Phys. 10; 63 (1985); Comm. Math. Phys. 102, 537 (1986).
L. Alvarez Gaume, Gomez, Sierra “Quantum Group Interpretation of some Conformal Field Theories”, preprint.
V. Pasquier, H. Saleur, “Common Structures between Finite Sytems and Conformal Field Theories through Quantum Groups”, preprint.
B.L. Feigin, D.B. Fuchs, Funct. Anal, and Appl. 16, 114 (1982); 17, 241 (1983).
P. Goddard, A. Kent, D. Olive, Comm. Math. Phys. 103, 105 (1986).
G. Lusztig, “Modular Representaions and Quantum Groups”, preprint
P. Roche, D. Arnaudon, “Irreducible Representations of the Quantum Analogue of SU(2)”, preprint.
V. Pasquier, H. Saleur, “Symmetry of the XXZ Chain and Quantum SU(2)”, preprint.
M. Rosso, Comm. Math. Phys. 117, 581 (1988).
V. Jones, Inv. Math. 72, 1 (1983).
D. Friedan, Z. Qiu, S. Shenker, Phys. Rev. Lett. 52, 1575 (1984).
V. Pasquier, Comm. Math. Phys. 118, 355 (1988).
H. Wenzl, “Representations of the Hecke Algebras and Subfactors”, Thesis (1985).
P. Martin, J. Phys. A20, L539 (1987).
G. Andrews, R. Baxter, P.J. Forrester, J. Stat. Phys. 35, 193 (1984).
V. Pasquier, Nucl. Phys. B285, 162 (1987).
V. Pasquier, J. Phys. A20, L1229 (1987). H. Saleur, unpublished
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Saleur, H. (1990). Representations of Uq sl(2) for q a Root of Unity. In: Luck, JM., Moussa, P., Waldschmidt, M. (eds) Number Theory and Physics. Springer Proceedings in Physics, vol 47. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75405-0_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-75405-0_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-75407-4
Online ISBN: 978-3-642-75405-0
eBook Packages: Springer Book Archive