Automorphisms of \(L^ *\)-algebras

DOI10.2748/tmj/1178242808zbMath0215.48402OpenAlexW2066991440MaRDI QIDQ2545801

V. K. Balachandran

Publication date: 1970

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178242808

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Related Items (4)

The uniqueness of the complete norm topology in complete normed nonassociative algebras ⋮ 2-local automorphisms on semisimple \(\mathcal{L}^\ast\)-algebras ⋮ Jacobson's theorem on derivations of primitive rings with nonzero socle: a proof and applications ⋮ Isomorphisms of H*-algebras

Cites Work

• Simple \(L^*\)-algebras of classical type
• Regular elements of \(L^ *\)-algebras
• On the uniqueness of the inner product topology in a semi-simple \(L^*\)- algebra
• The Weyl group of an \(L^*\)-algebra
• Cartan Decompositions for L ∗ -Algebras
• Simple Systems of Roots in L ∗ -Algebras
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