科研之友
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摘要
Let G be a connected complex reductive linear algebraic group, and let K subset of G be a maximal compact subgroup of it. Let E-G be a holomorphic principal G-bundles over the complex projective line CP1 and E-K subset of E-G a C-infinity reduction of structure group of E-G to K. We consider all pairs (E-G, E-K) of this type such that the total space of E-K is equipped with a C-infinity lift of the standard action of SU(2) on CP1 which satisfies the following two conditions: the actions of K and SU(2) on E-K commute, and for each element g is an element of SU(2), the induced action of g on E-G is holomorphic. We give a classification of the isomorphism classes of all such objects.
- 出版日期2011
