Displaying similar documents to “On basic and axiomatic ranks of nilpotent varieties of Lie algebras”

Low-dimensional filiform Lie superalgebras.

Marc Gilg (2001)

Revista Matemática Complutense

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The aim of this paper is to give a classification up to isomorphism of low dimension filiform Lie superalgebras.

A Characterization of Varieties of Associative Algebras of Exponent two

Giambruno, A., Zaicev, M. (2000)

Serdica Mathematical Journal

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∗The first author was partially supported by MURST of Italy; the second author was par- tially supported by RFFI grant 99-01-00233. It was recently proved that any variety of associative algebras over a field of characteristic zero has an integral exponential growth. It is known that a variety V has polynomial growth if and only if V does not contain the Grassmann algebra and the algebra of 2 × 2 upper triangular matrices. It follows that any variety with overpolynomial growth...

Diamonds in thin Lie algebras

M. Avitabile, G. Jurman (2001)

Bollettino dell'Unione Matematica Italiana

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In un'algebra di Lie graduata thin, la classe in cui compare il secondo diamante e la caratteristica del campo soggiacente determinano se l'algebra stessa abbia o meno dimensione finita ed in tal caso forniscono anche un limite superiore a tale dimensione.

Canonical subgroups of H 1 ⋊ S ⁢ L ⁢ 2 , R

Filippo De Mari, Krzysztof Nowak (2002)

Bollettino dell'Unione Matematica Italiana

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We classify, up to conjugation, all subgroups of the semidirect products H 1 ⋊ S ⁢ L ⁢ 2 , R and R 2 ⋊ S ⁢ L ⁢ 2 , R . Our methods can also be applied to all Lie groups that are locally isomorphic to them.