Year: 1996
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Author: Okounkov, Andrei
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1631478740