Research
On-device research index

arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,694 papers · 148 categories

Trend · papers per month

0111 · Jun 200019922001200920172026
4 results for trivectors

A quasi-Poisson manifold is a G-manifold equipped with an invariant bivector field whose Schouten bracket is the trivector field generated by the invariant element in $\wedge^3 \g$ associated to an invariant inner product. We introduce the concept of the fusion for such manifolds, and we relate quasi-Poisson manifolds …

2000-06-22abs ↗pdf ↗

Study Lie bialgebra structures on flat metric Lie algebras, leading to explicit Poisson-Lie groups.

problem Understanding Lie bialgebra structures on flat metric Lie algebras.
method Splitting Lie algebras, establishing normal forms, and using invariant Schouten squares.
result Explicit construction of multiplicative Poisson tensors on flat Poisson-Lie groups.