2022/03/28 by Floris Elzinga, Makoto Yamashita, Elzinga, Floris +1
Mathematics · Medicine · #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Intracerebral and Subarachnoid Hemorrhage Research #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.2203.14552
openalex publication_date 2022/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We look at the Poisson structure on the total space of the dual bundle to the Lie algebroid arising from a matched pair of Lie groups. This dual bundle, with the natural semidirect product group structure, becomes a Poisson-Lie group as suggested by a recent work of Stachura. Moreover, when we start from matched pairs given by the Iwasawa decomposition of simple Lie groups, the associated Lie bialgebra is coboundary.