Scalar products on Clifford modules and pseudo-\(H\)-type Lie algebras

DOI10.1007/BF02505885zbMath1027.17008OpenAlexW2072187590WikidataQ126093684 ScholiaQ126093684MaRDI QIDQ1408580

Paolo Ciatti

Publication date: 24 September 2003

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02505885

zbMATH Keywords

Heisenberg algebraClifford modules

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Solvable, nilpotent (super)algebras (17B30) Inner product spaces and their generalizations, Hilbert spaces (46C99)

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Spectral zeta function on pseudo \(H\)-type nilmanifolds, Rigidity of 2-step Carnot groups, Complete classification of pseudo \(H\)-type Lie algebras. I, Fundamental solutions of a class of ultra-hyperbolic operators on pseudo \(H\)-type groups, Sub-semi-Riemannian geometry of general \(H\)-type groups, Hypoelliptic operators in geometry. Abstracts from the workshop held May 21--26, 2023, Automorphism groups of pseudo \(H\)-type algebras, Spectral theory of a class of nilmanifolds attached to Clifford modules, Isometric actions on pseudo-Riemannian nilmanifolds, Free nilpotent and \(H\)-type Lie algebras. Combinatorial and orthogonal designs, Pseudo-metric 2-step nilpotent Lie algebras, On the complete integrability of the geodesic flow of pseudo-\(H\)-type Lie groups, Lie algebras attached to Clifford modules and simple graded Lie algebras, Complete classification of pseudo \(H\)-type algebras. II

Cites Work

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• Geometric properties of Heisenberg-type groups
• Riemannian nilmanifolds attached to Clifford modules
• Harmonic analysis on solvable extensions of H-type groups
• The Lichnerowicz conjecture on harmonic manifolds
• An approach to symmetric spaces of rank one via groups of Heisenberg type
• \(H\)-type groups and Iwasawa decompositions
• Explicit Spin Representations and Lie Algebras of Heisenberg Type
• Commutative Algebras of Invariant Functions on Groups of Heisenberg Type
• The Automorphism Group of a Composition of Quadratic Forms
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms