The existence and uniqueness of H-N reduction for the Higgs principal bundles over nonsingular projective variety is shown. We also extend the notion of H-N reduction for (Γ, G)-bundles and ramified G-bundles over a smooth curve.
Content may be subject to copyright.This is a post-peer-review, pre-copyedit version of an article published in Proceedings Mathematical Sciences. The final... ...This is a post-peer-review, pre-copyedit version of an article published in Proceedings Mathematical Sciences. The final authenticated version is available online at: https://doi.org/10.1007/BF02829622. The following terms of use apply: https://www.springer.com/gp/open-access/publication-policies/aam-terms-of-use.