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
β¦ LIBER β¦
Invariant forms of the elementary unitary Lie superalgebra
β Scribed by Ana Duff
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 238 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0022-4049
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β¦ Synopsis
In this paper we describe the invariant forms of toral K-graded Lie superalgebras and, in particular, of the elementary unitary Lie superalgebra over a superring K containing 1 2 .
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