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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

On simplicity of certain infinite dimensional Lie algebras


Author: V. G. Kac
Journal: Bull. Amer. Math. Soc. 2 (1980), 311-314
MathSciNet review: 555269
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References [Enhancements On Off] (What's this?)

  • 1. V. G. Kac, Simple irreducible graded Lie algebras of finite growth, Izv. Akad. Nauk SSSR Ser. Mat. 32 (1968), 1323–1367 (Russian). MR 0259961
  • 2. B. Ju. Weisfeiler and V. G. Kac, Exponentials in Lie algebras of characteristic p, Math. USSR-Izv. 5 (1971), 777-803.
  • 3. V. G. Kac, Infinite-dimensional Lie algebras, and the Dedekind 𝜂-function, Funkcional. Anal. i Priložen. 8 (1974), no. 1, 77–78 (Russian). MR 0374210
  • 4. V. G. Kac, Infinite-dimensional algebras, Dedekind’s 𝜂-function, classical Möbius function and the very strange formula, Adv. in Math. 30 (1978), no. 2, 85–136. MR 513845, 10.1016/0001-8708(78)90033-6
  • 5. V. G. Kac and D. A. Kazhdan, Structure of representations with highest weight of infinite-dimensional Lie algebras, Adv. in Math. 34 (1979), no. 1, 97–108. MR 547842, 10.1016/0001-8708(79)90066-5
  • 6. Nathan Jacobson, Lie algebras, Interscience Tracts in Pure and Applied Mathematics, No. 10, Interscience Publishers (a division of John Wiley & Sons), New York-London, 1962. MR 0143793


Additional Information

DOI: https://doi.org/10.1090/S0273-0979-1980-14746-1