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This article is cited in 19 scientific papers (total in 19 papers)
Locally finite-dimensional simple Lie algebras
Yu. A. Bahturin, H. Strade
Abstract:
In this paper the authors introduce a new class of simple infinite-dimensional Lie algebras: locally finite-dimensional Lie algebras. First, general properties of such algebras are studied, and an uncountable family of examples is pointed out. Then the investigation is restricted to simple locally finite-dimensional algebras whose classical finite-dimensional simple factors have totally bounded dimension. The structure of these algebras is determined in the case where the base field is algebraically closed of characteristic $p>7$.
Received: 24.03.1992
Citation:
Yu. A. Bahturin, H. Strade, “Locally finite-dimensional simple Lie algebras”, Mat. Sb., 185:2 (1994), 3–32; Russian Acad. Sci. Sb. Math., 81:1 (1995), 137–161
Linking options:
https://www.mathnet.ru/eng/sm877https://doi.org/10.1070/SM1995v081n01ABEH003618 https://www.mathnet.ru/eng/sm/v185/i2/p3
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Abstract page: | 654 | Russian version PDF: | 188 | English version PDF: | 21 | References: | 83 | First page: | 3 |
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