1. Infinite Dimensional Lie Algebras, Birkhäuser, Boston, 1983 (2nd Ed., Cambridge Univ. Press, 1985)
   (3rd Ed., Cambridge Univ. Press, 1990). Russian translation, MIR, Moscow, 1993.
   
   
2. Infinite Dimensional Groups with Applications, ed., Publ. MSRI 4, 1985.
   
   
3. Bombay Lectures on Highest Weight Representations, World Scientific, 1987.
   
   
4. Infinite-dimensional Lie Algebras and Groups, Ed., Adv. Ser. in Math. Phys., Vol. 7, 1989.
   
   
5. Lie Theory and Geometry, Ed., Birkhäuser, Boston, 1994.
   
   
6. Vertex Algebras for Beginners, University Lecture Series, AMS, Vol.10, 1996 (2nd Ed., AMS, 1998).
   
   
7. (with P. Cheung) Quantum calculus, Springer-Verlag, 2002. Russian translation, Moscow 2005. Corrections
   

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