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Witt theorems for orthogonal lie algebras

โœ Scribed by D. G. James

Book ID
112647998
Publisher
Springer
Year
1969
Tongue
English
Weight
172 KB
Volume
19
Category
Article
ISSN
0003-889X

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๐Ÿ“œ SIMILAR VOLUMES

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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

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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