Reductivity of the Lie Algebra of a Bilinear Form

DOI10.1080/00927872.2013.839996zbMath1359.17017arXiv1308.4617OpenAlexW2190664389MaRDI QIDQ5495270

S. Ruhallah Ahmadi, Martin Chaktoura, Fernando Szechtman

Publication date: 31 July 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.4617

Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20) Quadratic and bilinear forms, inner products (15A63)

Related Items (2)

Lie algebras and bilinear forms in characteristic 2 ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Highest-weight theory for truncated current Lie algebras
• Appendix: Degenerate bilinear forms
• The equivalence of bilinear forms
• An elementary proof of Gabriel's theorem on degenerate bilinear forms and its generalization.
• Canonical matrices of bilinear and sesquilinear forms
• Structure of isometry group of bilinear spaces
• FAITHFUL REPRESENTATIONS OF MINIMAL DIMENSION OF CURRENT HEISENBERG LIE ALGEBRAS
• Characterization of bilinear spaces with unimodular isometry group
• Structure of the group preserving a bilinear form
• On the conjugacy classes in the unitary, symplectic and orthogonal groups
• A Pair of Matrices with Property P

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