### Involutive Lie algebras graded by finite root systems and compact forms of IM algebras.

Yun Gao (1996)

Mathematische Zeitschrift

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Yun Gao (1996)

Mathematische Zeitschrift

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Galitski, L.Yu., Timashev, D.A. (1999)

Journal of Lie Theory

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Bing Sun, Liangyun Chen (2015)

Open Mathematics

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In this paper, we introduce the definition of restrictable Lie-Rinehart algebras, the concept of restrictability is by far more tractable than that of a restricted Lie-Rinehart algebra. Moreover, we obtain some properties of p-mappings and restrictable Lie-Rinehart algebras. Finally, we give some sufficient conditions for the commutativity of quasi-toral restricted Lie-Rinehart algebras and study how a quasi-toral restricted Lie-Rinehart algebra with zero center and of minimal dimension...

Post, Gerhard (2002)

Journal of Lie Theory

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Paolo Casati (2011)

Banach Center Publications

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In this paper we construct on truncated current Lie algebras integrable hierarchies of partial differential equations, which generalize the Drinfeld-Sokolov hierarchies defined on Kac-Moody Lie algebras.

Kirillov, A.A. (2000)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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Georgia Benkart, Thomas Gregory (1989)

Mathematische Annalen

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Alberto C. Elduque Palomo (1986)

Extracta Mathematicae

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In this paper the structure of the maximal elements of the lattice of subalgebras of central simple non-Lie Malcev algebras is considered. Such maximal subalgebras are studied in two ways: first by using theoretical results concerning Malcev algebras, and second by using the close connection between these simple non-Lie Malcev algebras and the Cayley-Dickson algebras, which have been extensively studied (see [4]).

Olivier Mathieu (1992)

Inventiones mathematicae

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Kwaśniewski, A. K.

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