Automorphisms and quasi-conformal mappings of Heisenberg-type groups.
Automorphisms and quasi-conformal mappings of Heisenberg-type groups.
复制标题
海森堡型群的自同构和拟共形映射。
作者：
P. Barbano
给出了海森堡型群的迹零导李代数的显式特征，以及它们的保测度自同构群的连通分量。建立了单连通幂零李群中晶格稳定子性质的一般判据，并将其应用于H型李群的整族。给出了H型群上非共形拟共形映射存在的一个必要条件。
The Lie algebras of trace-zero derivations of Heisenberg-type groups are explicitly characterized, along with the connected component of their groups of measure preserving automorphisms. We establish a general criterion on properties of the stabilizer of a lattice in a simply connected nilpotent Lie group and apply it to the full family of H -type Lie groups. A necessary condition for the existence of non-conformal quasi-conformal mappings on H -type groups is also given.