论文标题
具有系数代数的循环组的Birkhoff分解
Birkhoff decompositions for loop groups with coefficient algebras
论文作者
论文摘要
从有限维的复合物谎言代数开始,我们使用合适的交换性拓扑代数扩展标量。我们研究相应循环组的Birkhoff分解。对于复杂的Banach-Lie组中有价值的循环组,一些结果仍然有效。
Starting with a finite-dimensional complex Lie algebra, we extend scalars using suitable commutative topological algebras. We study Birkhoff decompositions for the corresponding loop groups. Some results remain valid for loop groups with valued in complex Banach-Lie groups.