Bijective maps on standard Borel subgroup of symplectic group preserving commutators.

DOI10.1007/s11464-012-0181-xzbMath1261.20054OpenAlexW2197101992WikidataQ114222319 ScholiaQ114222319MaRDI QIDQ1758115

Shikun Ou

Publication date: 7 November 2012

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-012-0181-x

zbMATH Keywords

symplectic groupsmatrix groupsBorel subgroupslinear preserver mapsmaps preserving commutatorsPC-maps

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Commutator calculus (20F12) Other matrix groups over fields (20H20) Linear preserver problems (15A86)

Related Items (3)

Invertible linear maps on Borel subalgebras preserving zero Lie products ⋮ Complete symplectic quadrics and Kontsevich spaces of conics in Lagrangian Grassmannians ⋮ Bijective PC-maps of the unipotent radical of the Borel subgroup of the classical symplectic group

Cites Work

• Unnamed Item
• Bijective maps preserving commutators on a solvable classical group.
• Homomorphisms between symplectic groups
• Automorphisms of certain Borel subgroups over a connected ring
• Automorphisms of the symplectic group over a local ring
• Automorphisms of the standard Borel subgroup of orthogonal group \(O(2m,R)\) over commutative rings.
• Automorphisms of the standard Borel subgroup of the symplectic group over a commutative ring

This page was built for publication: Bijective maps on standard Borel subgroup of symplectic group preserving commutators.