Abstract
We give the quantum structure constants for the analogues of the classical Lie algebras so(n) and sp(n) for any n, as well as their quantum Killing form. We also include a summary of the method used to obtain them.
Similar content being viewed by others
References
Drinfel'd V.G.: Sov. Math. Dokl. 32 (1985) 254.
Drinfel'd V.G.: in Quantum Groups, Proc. Int. Congr. Math., Berkeley 1986, p. 798.
Delius G.W. and Hüffmann A.: J. Phys. A 29 (1996) 1703; q-alg/9506017.
Delius G.W. and Gould M.: Quantum Lie algebras, their existence, uniqueness and q-antisymmetry, q-alg/9605025; Commun. Math. Phys (in print).
Delius G.W., Gardner C„ and Gould M.: The structure of quantum Lie algebras for the classical series B l , C l and D l , q-alg/9706029.
Wolfram S.: Mathematica, 2nd ed., Addison-Wesley Publishing Co., New York, 1991.
Delius G.W., Hüffmann A., Gould M.D., and Zhang Y.-Z.: J. Phys. A 29 (1996) 5611; q-alg/9508013.
Sweedler M.E.: Hopf algebras, Benjamin, New York, 1996.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gardner, C. Quantum Lie algebras for B l, C l and D l . Czechoslovak Journal of Physics 47, 1123–1131 (1997). https://doi.org/10.1023/A:1021606100229
Issue Date:
DOI: https://doi.org/10.1023/A:1021606100229