๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Automorphism schemes and forms of Witt Lie algebras

โœ Scribed by William C Waterhouse


Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
367 KB
Volume
17
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Simple Lie Algebras of Witt Type
โœ D.S. Passman ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 149 KB

Let K be a field, let A be an associative, commutative K-algebra, and let โŒฌ be a nonzero K-vector space of commuting K-derivations of A. Then, with a rather natural definition, A m โŒฌ s AโŒฌ becomes a Lie algebra and we obtain necessary K and sufficient conditions here for this Lie algebra to be simple

Simple Lie Color Algebras of Witt Type
โœ D.S Passman ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 305 KB

Let K be a field and let : โŒซ = โŒซ ยช K โ…ท be a bicharacter defined on the multiplicative group โŒซ. We suppose that A is a โŒซ-graded, associative K-algebra that is color commutative with respect to . Furthermore, let โŒฌ be a nonzero โŒซ-graded, K-vector space of color derivations of A and suppose that โŒฌ is a

The Forms of the Witt Group Schemes
โœ Changchun Li ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 263 KB
Derivation-Simple Algebras and the Struc
โœ Yucai Su; Xiaoping Xu; Hechun Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 146 KB

We classify all the pairs of a commutative associative algebra with an identity element and its finite-dimensional locally finite Abelian derivation subalgebra such that the commutative associative algebra is derivation-simple with respect to the derivation subalgebra over an algebraically closed fi

Groups and Lie Algebras with Almost Regu
โœ Y.A. Medvedev ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 358 KB

It is proved that if a locally nilpotent group \(G\) admits an almost regular automorphism of prime order \(p\) then \(G\) contains a nilpotent subgroup \(G_{1}\) such that \(\left|G: G_{1}\right| \leqslant f(p, m)\) and the class of nilpotency of \(G_{1} \leqslant g(p)\), where \(f\) is a function