Representation theory and ADHM-construction on quaternion symmetric spaces

Nagatomo, Yasuyuki

doi:10.1090/S0002-9947-01-02829-X

Representation theory and ADHM-construction on quaternion symmetric spaces
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by Yasuyuki Nagatomo

Trans. Amer. Math. Soc. 353 (2001), 4333-4355

DOI: https://doi.org/10.1090/S0002-9947-01-02829-X

Published electronically: June 14, 2001

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Abstract:

We determine all irreducible homogeneous bundles with anti-self-dual 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 Thereom. The Horrocks bundle is also generalized to higher-dimensional projective spaces.

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