A Maslov cocycle for unitary groups
K-Theory and Homology
2014-02-26 v4 Group Theory
Abstract
We introduce a 2-cocycle for symplectic and skew-hermitian hyperbolic groups over arbitrary fields and skew fields, with values in the Witt group of hermitian forms. This cocycle has good functorial properties: it is natural under extension of scalars and stable, so it can be viewed as a universal 2-dimensional characteristic class for these groups. Over R and C, it coincides with the first Chern class.
Cite
@article{arxiv.0707.2281,
title = {A Maslov cocycle for unitary groups},
author = {Linus Kramer and Katrin Tent},
journal= {arXiv preprint arXiv:0707.2281},
year = {2014}
}
Comments
To appear in Proc. London Math. Soc