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\(H\)-type groups and Clifford modules

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Publication:638979
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DOI10.1007/BF03219139zbMath1221.15033MaRDI QIDQ638979

Hans Martin Reimann

Publication date: 17 September 2011

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)



Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Clifford algebras, spinors (15A66) Analysis on other specific Lie groups (43A80)


Related Items (5)

Decay estimates for fractional wave equations on \(H\)-type groups ⋮ Complete classification of pseudo \(H\)-type Lie algebras. I ⋮ Strichartz inequalities for the wave equation with the full Laplacian on H-type groups ⋮ Pseudo-metric 2-step nilpotent Lie algebras ⋮ A restriction theorem for the H-type groups



Cites Work

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  • Geometric properties of Heisenberg-type groups
  • A Clifford algebra approach to real simple Lie algebras with reduced root system
  • \(H\)-type groups and Iwasawa decompositions
  • Explicit Spin Representations and Lie Algebras of Heisenberg Type
  • The Automorphism Group of a Composition of Quadratic Forms
  • Rigidity of \(H\)-type groups




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