Voir la notice de l'article provenant de la source Cambridge University Press
Mazorchuk, Volodymyr. Tableaux Realization of Generalized Verma Modules. Canadian journal of mathematics, Tome 50 (1998) no. 4, pp. 816-828. doi: 10.4153/CJM-1998-043-x
@article{10_4153_CJM_1998_043_x,
author = {Mazorchuk, Volodymyr},
title = {Tableaux {Realization} of {Generalized} {Verma} {Modules}},
journal = {Canadian journal of mathematics},
pages = {816--828},
year = {1998},
volume = {50},
number = {4},
doi = {10.4153/CJM-1998-043-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1998-043-x/}
}
[1] 1. Barut, A. O. and Raczka, R., Theory of group representations and applications. PWN, Polish Scientific Publisher, Warszawa, 1977. Google Scholar
[2] 2. Coleman, A. J., Futorny, V. M., Stratified L-modules. J. Algebra 163(1994), 219–234. Google Scholar
[3] 3. Dixmier, J., Enveloping algebras. North-Holland, Amsterdam, 1977. Google Scholar
[4] 4. Yu. Drozd, A., Ovsienko, S. A. and Futorny, V. M., Harish-Chandra Subalgebras and Gelfand-Zetlin modules. J. Math. Phys. Sci. 424(1994). Google Scholar
[5] 5. Yu. Drozd, A., S-homomorphism of Harish-Chandra and -modules generated by semiprimitive elements. Ukrainian Math. J. 42(1990), 1032–1037. Google Scholar
[6] 6. Futorny, V. and Mazorchuk, V., Structure ofα-stratified modules for finite-dimensional Lie algebras, I. J. Algebra 183(1996), 456–482. Google Scholar
[7] 7. Futorny, V. M., Weightsl(3)-modules, generated by semiprimitive element. UkrainianMath. J. 43(1991), 281–285. Google Scholar
[8] 8. Futorny, V. M., A generalization of Verma modules and irreducible representations of the Lie algebrasl(3ÒC). Ukrainian Math. J. 38(1986), 422–427. Google Scholar
[9] 9. Gelfand, I. M. and Zetlin, M. L., Finite-dimensional representations of a Group of unimodular matrices. Dokl. Akad. Nauk SSSR 8–25 71(1950), 825–828 (in Russian). Google Scholar
[10] 10. Gelfand, I. M., Finite-dimensional representations of Groups of orthogonal matrices. Dokl. Akad. Nauk SSSR 71(1950), 1017–1020 (in Russian). Google Scholar
[11] 11. Kostant, B., On the tensor product of a finite and infinite dimensional representations. J. Funct. Anal. 20(1975), 257–285. Google Scholar
[12] 12. Mazorchuk, V. and Ovsienko, S., Submodule structure of generalized Vermamodules induced from generic Gelfand-Zetlin modules. Bielefeld University, 97–007, preprint Google Scholar
[13] 13. Rocha-Caridi, A., Splitting criteria for -modules induced from a parabolic and a Bernstein-Gelfand- Gelfand resolution of a finite-dimensional, irreducible -module. Trans. Amer. Math. Soc. 262(1980), 335 366. Google Scholar
[14] 14. Zelobenko, D. P., Compact Lie groups and their representations. Nauka, Moskow, 1974. Google Scholar
Cité par Sources :