References
- Dixmier, J. (1997). Enveloping algebras. Graduate Studies in Mathematics, Vol. 11 (Revised reprint of the translation.) Providence, RI: American Mathematical Society.
- Dimitrov, I., Mathieu, O., and Penkov, I. (2004). Errata to: “On the structure of weight modules [Trans. Amer. Math. Soc. 352 (2000), 6, 2857–2869; mr1624174]”. Trans. Am. Math. Soc. 356(8):3403–3404.
- Dimitrov, I., Penkov, I. (1999). Weight modules of direct limit Lie algebras. Int. Math. Res. Notices (5): 223–249. DOI: 10.1155/S1073792899000124.
- Fernando, S. (1990). Lie algebra modules with finite-dimensional weight spaces I. Trans. Am. Math. Soc. 322(2):757–781. DOI: 10.1090/S0002-9947-1990-1013330-8.
- Futorny, V. (1987). The weight representations of semisimple finite-dimensional Lie algebras. PhD Dissertation. Kiev University, Kiev, UA.
- Grantcharov, D., Penkov, I. (2018). Simple bounded weight modules of sl(∞),o(∞),sp(∞). ArXiv.org. Available at: https://arxiv.org/abs/1807.01899v1.
- Kac, V. (1985). Constructing groups associated to infinite-dimensional Lie algebras. In: Infinite-dimensional groups with applications (Berkeley, Calif., 1984). Vol. 4, New York, NY: Springer, pp. 167–216.
- Mathieu, O. (2000). Classification of irreducible weight modules. Ann. Inst. Fourier. 50(2):537–592. DOI: 10.5802/aif.1765.
- Penkov, I., Serganova, V., Zuckerman, G. (2004). On the existence of (g,l)-modules of finite type. Duke Math. J. 125(2):329–349. DOI: 10.1215/S0012-7094-04-12525-4.