A Maslov cocycle for unitary groups

作者:Kramer Linus*; Tent Katrin
来源:Proceedings of the London Mathematical Society, 2010, 100(1): 91-115.
DOI:10.1112/plms/pdp023

摘要

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, and 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.

  • 出版日期2010-1