The Automorphism Group of a Composition of Quadratic Forms

DOI10.2307/1998455zbMath0483.10021OpenAlexW4251516275MaRDI QIDQ3941491

Carl R. Riehm

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1998455

zbMATH Keywords

automorphism groupalgebraic groupcomposition of quadratic forms

Mathematics Subject Classification ID

General binary quadratic forms (11E16) Forms over real fields (11E10)

Related Items (22)

The angular Laplacian on symmetric Damek-Ricci spaces ⋮ A Generalization of a Theorem on Naturally Reductive Homogeneous Spaces ⋮ Rigidity of 2-step Carnot groups ⋮ Complete classification of pseudo \(H\)-type Lie algebras. I ⋮ Exceptional families of measures on Carnot groups ⋮ Magnetic fields on non-singular 2-step nilpotent Lie groups ⋮ Scalar products on Clifford modules and pseudo-\(H\)-type Lie algebras ⋮ \(H\)-type groups and Clifford modules ⋮ Automorphism groups of pseudo \(H\)-type algebras ⋮ Unnamed Item ⋮ Solvsolitons associated with Heisenberg algebras ⋮ Horizontal submanifolds of groups of Heisenberg type ⋮ On derivations of subalgebras of real semisimple Lie algebras ⋮ The biradial Paley-Wiener theorem for the Helgason Fourier transform on Damek-Ricci spaces ⋮ Homogeneous spaces with sections ⋮ Complete classification of pseudo \(H\)-type algebras. II ⋮ Polar actions on Damek-Ricci spaces ⋮ On homogeneous manifolds whose isotropy actions are polar ⋮ \(H\)-type groups and Iwasawa decompositions ⋮ Modified \(H\)-type groups and symmetric-like Riemannian spaces ⋮ Unnamed Item ⋮ An approach to symmetric spaces of rank one via groups of Heisenberg type

Cites Work

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• Riemannian nilmanifolds attached to Clifford modules
• The equivalence of sesquilinear forms
• Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen
• Forms over rings with involution
• Forms over semisimple algebras with involution
• Transformation groups of spheres
• Transitivity in the Spinorial Kernel and the Commutator Subgroup of the Orthogonal Group
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms

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