AN ADELIC W-ALGEBRA AND RANK ONE BISPECTRAL OPERATORS

  • E. Horozov
Conference paper
Part of the NATO Science Series book series (NAII, volume 201)

Abstract

We introduce a Lie algebra which we call adelic W-algebra. It is a central extension of the Lie algebra of the differential operators on the complex line with rational coefficients. We construct its natural bosonic representation similar to highest weight representation. Then we show that the rank one algebras of bispectral operators are in 1:1 correspondence with the tau-functions in this representation.

Keywords

Manifold Soliton 

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Copyright information

© Springer 2006

Authors and Affiliations

  • E. Horozov
    • 1
  1. 1.Institute of Mathematics and InformaticsSofiaBulgaria

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