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This article is cited in 3 scientific papers (total in 3 papers)
Lie superalgebras with bounded degrees of irreducible representations
Yu. A. Bahturin
Abstract:
A complete description is given of Lie superalgebras over uncountable fields of characteristic zero with all irreducible representations of finite bounded degree. The even component of such an algebra must be Abelian of dimension less than the cardinality of the field, whereas the odd component must contain a submodule of finite codimension with zero multiplication. This condition is also sufficient.
Bibliography: 7 titles.
Received: 22.04.1988
Citation:
Yu. A. Bahturin, “Lie superalgebras with bounded degrees of irreducible representations”, Mat. Sb., 180:2 (1989), 195–206; Math. USSR-Sb., 66:1 (1990), 199–209
Linking options:
https://www.mathnet.ru/eng/sm1605https://doi.org/10.1070/SM1990v066n01ABEH001170 https://www.mathnet.ru/eng/sm/v180/i2/p195
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Abstract page: | 303 | Russian version PDF: | 86 | English version PDF: | 9 | References: | 59 | First page: | 3 |
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