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 査読有り
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.