Kac-Wakimoto modules

introduction

• Lie superalgebras

• \(sl(2|1)\)

 

 

articles

• Kac, Victor G., and Minoru Wakimoto. ‘Representations of Affine Superalgebras and Mock Theta Functions III’. arXiv:1505.01047 [math], 5 May 2015. http://arxiv.org/abs/1505.01047.
• Kac V.G., Peterson D.H.: Infinite-dimensional Lie algebras, theta functions, and modular forms. Adv. Math. 53, 125–264 (1984)[1] [2] [3]
• Integrable highest weight modules over affine superalgebras and number theory
  • Kac V.G., Wakimoto M., Lie theory and geometry, Program in Mathematics, vol. 123, pp. 415–456. Birkhäuser, Boston (1994)
• Integrable highest weight modules over affine superalgebras and Appell’s function
  • Kac V.G., Wakimoto M, Commun. Math. Phys. 215(3), 631–682 (2001)
• Kac, V.G. and Wakimoto, M.: Modular invariant representations of infinite-dimensional Lie algebras and superalgebras. Proc.Natl.Acad.Sci. USA 85, 4956--4960(1988)MR0949675 (89j:17019)
• Kac, V.G. and Wakimoto, M.: Classification of modular invariant representations of affine algebras. Advanced Ser. Math. Phys. 7, Singapore: World Sci., 1989, pp. 138--177 MR1026952 (91a:17032)