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Unitary representations of basic classical Lie superalgebras

✍ Scribed by M. D. Gould; R. B. Zhang

Publisher
Springer
Year
1990
Tongue
English
Weight
356 KB
Volume
20
Category
Article
ISSN
0377-9017

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✦ Synopsis

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) are unitary irreps of type (I) and type (2) respectively, explaining the applicability of the Young diagram method to these two types of tensor irreps.

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