Classification of a Class of Nonrigid Carnot Groups
Journal of Lie Theory, Volume 25 (2015) no. 3, pp. 717-732
We classify up to isomorphism a class of nonrigid Carnot groups. As an application we obtain a quasiisometric classification of a class of finitely generated nilpotent groups. We also identify all C2 quasiconformal maps of these nonrigid Carnot groups.
DOI:
10.5802/jolt.856
Classification:
22E25, 20F65, 30C65
Keywords: Nonrigid Carnot groups, complex Heisenberg product groups
Keywords: Nonrigid Carnot groups, complex Heisenberg product groups
@article{JOLT_2015_25_3_a3,
author = {M. R. Hughes and M. D. Staic and X. Xie},
title = {Classification of a {Class} of {Nonrigid} {Carnot} {Groups}},
journal = {Journal of Lie Theory},
pages = {717--732},
year = {2015},
volume = {25},
number = {3},
doi = {10.5802/jolt.856},
zbl = {1333.22005},
url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.856/}
}
M. R. Hughes; M. D. Staic; X. Xie. Classification of a Class of Nonrigid Carnot Groups. Journal of Lie Theory, Volume 25 (2015) no. 3, pp. 717-732. doi: 10.5802/jolt.856
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