Lie groups locally isomorphic to generalized Heisenberg groups

DOI10.1090/S0002-9939-08-09489-6zbMath1155.53028arXivmath/0610674OpenAlexW2031355048WikidataQ115290099 ScholiaQ115290099MaRDI QIDQ3522325

Hiroshi Tamaru, Hisashi Yoshida

Publication date: 1 September 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610674

zbMATH Keywords

automorphisms groupgeneralized Heisenberg groupslocal isomorphism of Lie groups.

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25)

Related Items (5)

The action of a compact Lie group on nilpotent Lie algebras of type \(\{n,2\}\) ⋮ A class of nilpotent Lie algebras admitting a compact subgroup of automorphisms ⋮ Automorphism groups of pseudo \(H\)-type algebras ⋮ Free nilpotent and \(H\)-type Lie algebras. Combinatorial and orthogonal designs ⋮ Complete classification of pseudo \(H\)-type algebras. II

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• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman

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