イナモト　タダシ   Inamoto,Tadashi   稲本　唯史    所属   法学部 法律学科    職種   教授
言語種別	英語
発行・発表の年月	1993/02
形態種別	学術雑誌
査読	査読あり
標題	Quasi-invariant Lagrangians on Lie groups and the method of coadjoint orbits
執筆形態	単著
掲載誌名	Journal of Mathematical physics
出版社・発行元	American Institute of physics
巻・号・頁	34(2),pp.649-673
概要	Starting with a two-cocycle globally defined on a Lie group G, the Lagrangian system on G is constructed whose Lagrangian is quasi-invariant under a right translation canonically lifted to the tangent bundle TG. A direct consequence of the quasi-invariance is the appearance of central extension in the Noether symmetry algebra. Then, it is shown that the Kirillov-Kostant symplectic structure on the coadjoint orbit of the Lie group with the central extensions. The generalization to a higher dimensional theory of the Wess-Zumino-Witten-type is also discussed.