{"abstract":[{"lang":"eng","text":"Starting with a finite-dimensional complex Lie algebra, we extend scalars\r\nusing suitable commutative topological algebras. We study Birkhoff\r\ndecompositions for the corresponding loop groups. Some results remain valid for\r\nloop groups with valued in complex Banach-Lie groups."}],"user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"author":[{"first_name":"Helge","id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner"}],"title":"Birkhoff decompositions for loop groups with coefficient algebras","type":"preprint","publication":"arXiv:2206.11711","date_created":"2022-12-22T07:42:07Z","_id":"34804","status":"public","language":[{"iso":"eng"}],"year":"2022","citation":{"short":"H. Glöckner, ArXiv:2206.11711 (2022).","ieee":"H. Glöckner, “Birkhoff decompositions for loop groups with coefficient algebras,” <i>arXiv:2206.11711</i>. 2022.","bibtex":"@article{Glöckner_2022, title={Birkhoff decompositions for loop groups with coefficient algebras}, journal={arXiv:2206.11711}, author={Glöckner, Helge}, year={2022} }","mla":"Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” <i>ArXiv:2206.11711</i>, 2022.","chicago":"Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” <i>ArXiv:2206.11711</i>, 2022.","apa":"Glöckner, H. (2022). Birkhoff decompositions for loop groups with coefficient algebras. In <i>arXiv:2206.11711</i>.","ama":"Glöckner H. Birkhoff decompositions for loop groups with coefficient algebras. <i>arXiv:220611711</i>. Published online 2022."},"external_id":{"arxiv":["2206.11711"]},"date_updated":"2022-12-22T07:44:08Z"}