2 citations · 5 across the 8 of their papers we have counts for
8 papers
On the Continuous Cohomology of a semi-direct product Lie group
Naoya Suzuki
Let be a Lie group and be a subgroup of it. We can construct a bisimplicial manifold and the de Rham complex on it. This co…
A central -extension of a double Lie groupoid
Naoya Suzuki
In this paper, we introduce a notion of a central -extension of a double Lie groupoid and show that it defines a cocycle in the certain triple complex.
On some Chern-Simons forms of the Bott-Shulman-Stasheff forms
Naoya Suzuki
We exhibit the Chern-Simons forms of some characteristic classes in the simplicial de Rham complex.
The equivariant de Rham complex on a simplicial G_*-manifold
Naoya Suzuki
We show that when a simplicial Lie group acts on a simplicial manifold , we can construct a bisimplicial manifold and the de Rham complex on it. This complex is quasi-isom…
The Euler class in the Simplicial de Rham Complex
Naoya Suzuki
We exhibit a cocycle in the simplicial de Rham complex which represents the Euler class. As an application, we construct a Lie algebra cocycle on .
On some cocycles which represent the Dixmier-Douady class in simplicial de Rham complexes
Naoya Suzuki
When a Lie group has a central -extension, there is a cocycle in the simplicial de Rham complex which represents the Dixmier-Douady class. Mickelsson and Brylin…