Theoretical and Mathematical Physics

, Volume 114, Issue 2, pp 127–183 | Cite as

Group theory approach to the τ-function and its quantization

  • A. D. Mironov


This is a review of generalizations of the τ-function and integrable hierarchies and of their group theory interpretations, which admits an immediate quantization procedure. Different group theory structures related to the integrable system, as well as their quantum deformations, are discussed.


Fundamental Representation Verma Module Toda Chain Integrable Hierarchy Toda Hierarchy 
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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • A. D. Mironov
    • 1
    • 2
  1. 1.Theory Department. P. N. Lebedev Institute of PhysicsRussian Academy of SciencesMoscowRussia
  2. 2.Institute for Theoretical and Experimental PhysicsMoscowRussia

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