Abstract
We consider a class of finite-dimensional irreducible representations of the Lie superalgebras sl(n/1) and sl(n/2) for any n, which we call essentially irreducible. Within each such representation space we introduce a basis and write down explicit expressions for the transformation of the basis under the action of the generators
Preview
Unable to display preview. Download preview PDF.
References
Kac, V.G., Adv.Math. 26, 8 (1977).
Kac, V.G., Lect. Notes Math. 626, 597 (1978).
Scheunert, M., Lect. Notes Math., 716 (1979).
Bars, I., Morel, B. and Ruegg, H., J.Math.Phys., 24, 2253 (1983).
Thierry-Mieg, J., Phys.Lett., 138B, 393 (1984).
Leites, D.A., Sov.Prob.Math., 25, 3 (1984) (in Russian).
Delduc, F. and Gourdin, M., J.Math.Phys.,26, 1865 (1985).
Scheunert, M., Nahm, W. and Rittenberg, J.Math.Phys., 18, 155 (1977).
Marcu, M., J.Math.Phys., 21, 1277 (1980).
Van der Jeugt, J., J.Math.Phys., 25, 3334 (1984).
Palev, T.D., J.Math.Phys. 28, 2280 (1987).
Palev, T.D., Funct.Anal. and its Appl., 21,N 3, 85 (1987) (in Russian).
Gel'fand, I.M. and Zetlin, M.L., Docl. Akad. Nauk SSSR, 71, 825 (1950); see also Baird,G.B. and Biedenharn,L.C.P J.Math.Phys, 4, 1449 (1963).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this paper
Cite this paper
Palev, T.D. (1988). Essentially irreducible representations of the lie superalgebras sl(n/1) and sl(n/2). In: Doebner, HD., Hennig, JD., Palev, T.D. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012273
Download citation
DOI: https://doi.org/10.1007/BFb0012273
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50245-6
Online ISBN: 978-3-540-45959-0
eBook Packages: Springer Book Archive