# Books of Victor Kac

*Infinite dimensional Lie algebras*, BirkhĂ¤user, Boston, 1983 (second edition, Cambridge University Press, 1985) (third edition, Cambridge University Press, 1990). Russian translation, MIR, Moscow, 1993. Chinese translation, 2006.
*Infinite dimensional groups with applications*, ed., Publ. MSRI 4, 1985.
- (with A. Raina)
*Bombay lectures on highest weight representations*, World Scientific, 1987.
- (with A. Raina and N. Rozhkovskaya)
*Bombay lectures on highest weight representations*, Second edition, World Scientific, 2013.
*Infinite-dimensional Lie algebras and groups*, ed., *Adv. Ser. in Math. Phys.*, vol. 7, 1989.
- (with V. Guillemin, J.-L. Brylinsky and R. Brylinsky)
*Lie theory and geometry*, ed., BirkhĂ¤user, Boston, 1994.
*Vertex algebras for beginners*, University lecture series, AMS, vol. 10, 1996 (second edition, AMS, 1998). Russian translation, Moscow 2005.
- (with C. Martinez and E. Zelmanov) Graded simple Jordan superalgebras of growth one, Memoirs of AMS 711, 2001, pp 1-140.
- (with P. Cheung)
*Quantum calculus*, Springer-Verlag, 2002. Russian translation, Moscow 2005. Persian translation, 2015.
- (with R. Kellerhals, F. Knop, P. Littelman, D. Panyushev)
*Vinberg volume*, J. Algebra **313**, Springer-Verlag, 2007.
- (with R. Panyushev, E. Vinberg)
*Morozov volume*, Transf. Groups **15**, Springer-Verlag, 2010.
- (with S. Gindikin, E. Vinberg)
*Dynkin volume*, Transf. Groups **19**, Springer-Verlag, 2014.

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