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Singular unitary representations of classical groups

โœ Scribed by Jian-Shu Li


Publisher
Springer-Verlag
Year
1989
Tongue
English
Weight
824 KB
Volume
97
Category
Article
ISSN
0020-9910

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โœ M. D. Gould; R. B. Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Springer ๐ŸŒ English โš– 356 KB

We have obtained all the finite-dimensional umtary irreps of gl(m I n) and C(n), which also exhaust such irreps of all the basic classical Lie superalgebras. The lowest weights of such irreps are worked out explimtly. It is also shown that the contravariant and covariant tensor irreps of gl(m I n) a

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We prove gap results for the low-dimensional representation of unitary groups in nondefining characteristics. More precisely, we give a lower bound for the third smallest degree of a nontrivial absolutely irreducible representation of the groups mentioned above, which is almost in the order of magni