Capelli Identities for the dual pair (OM,SpN)
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- Itoh, M. Math. Z. (2004) 246: 125. doi:10.1007/s00209-003-0591-2
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Analogues of the Capelli identity are given from the viewpoint of dual pair theory. The Capelli identity is a famous formula in the invariant theory, and can be regarded as an explicit description of a correspondence of invariant differential operators associated to the dual pair (GLr,GLs). The main results are Capelli type identities in this sense for the dual pair (OM,SpN).