Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra

DOI10.1007/s10587-010-0041-3zbMath1224.15005OpenAlexW1978404889MaRDI QIDQ3073479

Haishan Pan, Xuansheng Wang, Dengyin Wang

Publication date: 11 February 2011

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/38013

zbMATH Keywords

idealmaps preserving idealsimple associative \(F\)-algebra

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Linear transformations, semilinear transformations (15A04)

Related Items (1)

The maximal dimension of unital subalgebras of the matrix algebra

Cites Work

• Enumeration of ad-nilpotent \({\mathfrak b}\)-ideals for simple Lie algebras
• Normalizers of ad-nilpotent ideals
• Nonlinear maps preserving solvability
• Ad-nilpotent ideals of a Borel subalgebra. II.
• Long Abelian ideals
• Abelian ideals of Borel subalgebras and affine Weyl groups
• ad-nilpotent ideals of a Borel subalgebra: generators and duality
• \(ad\)-nilpotent ideals of a Borel subalgebra
• Ad-nilpotent ideals of a parabolic subalgebra
• Enumeration of ad-nilpotent ideals of a Borel subalgebra in type A by class of nilpotence
• Spherical orbits and Abelian ideals

This page was built for publication: Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra