
Minoru Itoh
University of Kyoto
Capelli identities for reductive dual pairs
Friday 5th September, 12:0512:55pm,
Carslaw 373.
We present analogues of the Capelli identity from the viewpoint
of dual pair theory, and complete the list of Capelli type
identities written in terms of determinants and permanents for
all the irreducible reductive dual pairs in the complex
symplectic group and the complex orthogonal group.
These Capelli type identities describe a natural correspondence
between the "centers" of the two universal enveloping
algebras and an algebra of invariant operators.







