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Transformation Groups

, Volume 1, Issue 1–2, pp 99–126 | Cite as

Quantum immanants and higher Capelli identities

  • Andrei Okounkov
Article

Abstract

We consider some remarkable central elements of the universal enveloping algebraU(gl(n)) which we call quantum immanants. We express them in terms of generatorsE ij ofU(gl(n)) and as differential operators on the space of matrices These expressions are a direct generalization of the classical Capelli identities. They result in many nontrivial properties of quantum immanants.

Keywords

Irreducible Character Quantum Immanants Characterization Theorem High Term Standard Tableau 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 1996

Authors and Affiliations

  • Andrei Okounkov
    • 1
  1. 1.Institute for Problems of Information TransmissionMoscowRussia

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