This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
N. Bourbaki, Groupes et Algèbres de Lie, chapitres VII-VIII, (Hermann, Paris, 1975).
A. Beilinson and J. Bernstein, “Localisation de g-modules,” C. R. Acad. Sci. Paris 292 (1981), 15–18.
J. Bernstein and D. Leites, “A character formula for irreducible finite dimensional modules over the Lie superalgebras of series gl and sl,” C. R. Acad. Sci. Bulg. (in Russian) 33 (1980), 1049–1051.
J. Dixmier, Algèbres Enveloppantes, (Gauthier-Villars, Paris, 1974).
J. van der Jeugt, J.W.B. Hughes, R. C. King, and J. Thierry-Mieg, “A character formula for singly atypical modules of the Lie superalgebra sl(m/n),” preprint 1989.
V. Kac, ““Lie superalgebras,” Advances in Math. 26 (1977), 8–96.
V. Kac, “Characters of typical representation of classical Lie superalgebras,” Carom. Alg. 5 (1977), 889–897.
V. Kac, “Representations of classical Lie superalgebras,” Lecture Notes in Math. 676 (Springer-Verlag, Berlin, 1978), 597–626.
D. Leites, “Lie superalgebras,” JOSMAR 30, no. 6 (1984), 2482–2513.
D. Leites, “A character formula for irreducible finite dimensional representations of the Lie superalgebras of series C,” C. R. Acad. Sci. Bulg. (in Russian) 30 (1980), 1053–1055.
I. Penkov, “Geometric representation theory of complex classical Lie supergroups,” to appear in Asterisque.
I. Penkov and V. Serganova, “Cohomology of G/P for classical Lie supergroups and characters of some atypical G-modules,” Ann. Inst. Fourier 39 (1989), 845–873.
I. Penkov and V. Serganova, “Character formulas for some classes of atypical gl (m+nε) and p(m)-modules,” Lett. Math. Phys. 16 (1988), 251–261.
I. Penkbv and V. Serganova, “Irreducible modules over classical Lie superalgebras,” in preparation.
M. Scheunert, “The theory of Lie superalgebras,” Lecture Notes in Math. 716, (Springer-Verlag, Berlin, 1976).
M. Scheunert, “Invariant supersymmetric multilinear forms and the Casimir elements of P-type Lie superalgebras,” J. Math. Phys. 28 (1987), 1180–1191.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag
About this paper
Cite this paper
Penkov, I., Serganova, V. (1991). Generic irreducible representations of classical Lie superalgebras. In: Bartocci, C., Bruzzo, U., Cianci, R. (eds) Differential Geometric Methods in Theoretical Physics. Lecture Notes in Physics, vol 375. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53763-5_68
Download citation
DOI: https://doi.org/10.1007/3-540-53763-5_68
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-53763-2
Online ISBN: 978-3-540-47090-8
eBook Packages: Springer Book Archive