W- geometry

  • C. Itzykson
3. Conformal Field Theory and Related Topics
Part of the Lecture Notes in Physics book series (LNP, volume 375)


Differential Operator Poisson Bracket Linear Group Pseudo Differential Operator Linear Differential Operator 
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  1. V. G. Drinfeld and V. V. Sokolov “Lie algebras and equations of Kortweg-de Vries type” Journ. Sov. Math. 30 (1985) 1975–2036 W-algebras were introduced byGoogle Scholar
  2. A.B. Zamolodchikov “Infinite additional symmetries in two-dimensional conformal quantum field theory” Theor. Math. Phys. 65 (1985) 1205–1213 Our geometric inspiration came fromGoogle Scholar
  3. G. Sotkov and M. Stanishkov “Affine geometry and Wn-gravities” Preprint ISAS-70/90/EP (June 1990) Further references can be found inGoogle Scholar
  4. P. Di Francesco, C. Itzykson, J.-B. Zuber “Classical W-algebras” Preprint SPhT/90-149 and PUPT-1211 (Oct. 1990) submitted to Communications in Mathematical Physics. The paper quoted in the introduction isGoogle Scholar
  5. C. Itzykson, J.-B. Zuber “Matrix integration and combinatorics of modular groups” Communications in Mathematical Physics, 134 (1990) 197–207.Google Scholar

Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • C. Itzykson
    • 1
  1. 1.Service de Physique Théorique de SaclayLaboratoire de la Direction des Sciences de la Matière du Commissariat ä l'Energie AtomiqueGif-sur-Yvette CedexFrance

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