Algebra, Arithmetic, and Geometry pp 383-398

Part of the Progress in Mathematics book series (PM, volume 270)

A Generalization of the Capelli Identity



We prove a generalization of the Capelli identity. As an application we obtain an isomorphism of the Bethe subalgebras actions under the \(({g l}_{N},{g l}_{M})\) duality.

Key words

Capelli identity Gaudin model \(({g l}_{N} g {l}_{M})\) duality 


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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of Mathematical SciencesIndiana University – Purdue University IndianapolisIndianapolisUSA
  2. 2.St. Petersburg Branch of Steklov Mathematical InstituteSt. PetersburgRussia
  3. 3.Department of MathematicsUniversity of North Carolina at Chapel HillChapel HillUSA

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