Representation theory and ADHM-construction on quaternion symmetric spaces

Research output: Contribution to journalArticle

2 Citations (Scopus)


We determine all irreducible homogeneous bundles with anti-selfdual canonical connections on compact quaternion symmetric spaces. To deform the canonical connections, we give a relation between the representation theory and the theory of monads on the twistor space. The moduli spaces are described via the Bott-Borel-Weil Thcreom. The Horrocks bundle is also generalized to higher-dimensional projcctive spaces.

Original languageEnglish
Pages (from-to)4333-4355
Number of pages23
JournalTransactions of the American Mathematical Society
Issue number11
Publication statusPublished - 1 Jan 2001


  • ADHM-construction
  • Moduli
  • Monad
  • Quaternion symmetric space

Fingerprint Dive into the research topics of 'Representation theory and ADHM-construction on quaternion symmetric spaces'. Together they form a unique fingerprint.

  • Cite this