Lie groups locally isomorphic to generalized Heisenberg groups

2006/10/23 by Tamaru, Hiroshi, Yoshida, Hisashi
#22E25 #53C30 #Differential Geometry (math.DG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.math/0610674

Abstract

We classify connected Lie groups which are locally isomorphic to generalized Heisenberg groups. For a given generalized Heisenberg group N, there is a one-to-one correspondence between the set of isomorphism classes of connected Lie groups which are locally isomorphic to N and a union of certain quotients of noncompact Riemannian symmetric spaces.

Related

• Decomposition of phase space and classification of Heisenberg groups
• Generalize Heisenberg Groups and Self-Duality
• C^*-rigidity of the Heisenberg group
• Strong C^*-rigidity of the Heisenberg groups
• Hilbert's Fifth Problem for Local Groups