Conjugate SU(r)-connections and holonomy groups

In this article we show that when the structure group of the reducible principal bundle P is SU(r) and Q subset of P is an SO(r)-subbundle of P, the rank of the holonomy group of a connection which is gauge equivalent to its conjugate connection is less than or equal to [r/2], and use the estimate to show that for all odd prime r, if the holonomy group of the irreducible connection as above is simple and is not isomorphic to E-8, F-4, or G(2), then it is isomorphic to SO(r).
Publisher
AMER MATHEMATICAL SOC
Issue Date
2000-03
Language
ENG
Citation

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.128, no.3, pp.865 - 871

ISSN
0002-9939
DOI
10.1090/S0002-9939-99-05457-X
URI
http://hdl.handle.net/10203/73454
Appears in Collection
MA-Journal Papers(저널논문)
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