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Witt equivalence of central simple algebras with involution

โœ Scribed by I. Dejaiffe; J. P. Tignol; D. W. Lewis

Publisher
Springer Milan
Year
2000
Tongue
Italian
Weight
142 KB
Volume
49
Category
Article
ISSN
0009-725X

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๐Ÿ“œ SIMILAR VOLUMES

Involutions and anti-automorphisms of ce
Involutions and anti-automorphisms of central simple algebras
โœ David W. Lewis ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 111 KB

This paper contains results on asymmetries of anti-automorphisms of central simple algebras, following on from a recent paper of Cortella and Tignol, and also some properties of trace forms of anti-automorphisms.

Matrix Algebras with Involution and Cent
Matrix Algebras with Involution and Central Polynomials
โœ Tsetska Rashkova ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 118 KB

In this paper we study central polynomials for the matrix algebra M 2n K \* with symplectic involution \* . Their form is inspired by an apporach of Formanek and Bergman for investigating matrix identities by means of commutative algebra. We continue the investigations started earlier (1999,

Simple Lie Algebras of Witt Type
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