``Combinatorial Proofs of Capelli and Turnbull's identities from classical invariant theory'' (with Dominique Foata).

Capelli's identities was central in Hermann's Weyl's approach to the representation theory of the classical groups, in his classical `terrible and wonderful' (-R. Howe) book. Roger Howe revived the interest in Capelli's identity, and with Umeda found an anti-symmetric analog. In this paper, Dominique and I give a combinatorial proof. Foata's student, Yacob Akiba, used our combinatorial approach to give a combinatorial proof of the Howe-Umeda (also found independently by Kostant and Sahi) identity.

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