Young Basis, Wick Formula, and Higher Capelli Identities

Details Young Basis, Wick Formula, and Higher Capelli Identities Young Basis, Wick Formula, and Higher Capelli Identities

1996-02-19

arxiv.org/abs/q-alg/9602027v2

Internat. Math. Res. Notices, 17 (1996), 817--839

Mathematics

Quantum Algebra

19 pages, AMS-TeX, minor corrections

Scientific paper

We prove Capelli type identities which involve the whole universal enveloping
algebra $U(gl(n))$ and matrix elements of irreducible representations of the
symmetric group. These identities generalize higher Capelli identities for the
center of $U(gl(n))$ introduced in the author's paper \cite{Ok}. The main role
in the proof play the Jucis-Murphy elements.

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