Lepowsky, James; Wilson, Robert Lee Construction of the affine Lie algebra \(A^{(1)}_1\). (English) Zbl 0388.17006 Commun. Math. Phys. 62, 43-53 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 11 ReviewsCited in 131 Documents MSC: 17B65 Infinite-dimensional Lie (super)algebras PDF BibTeX XML Cite \textit{J. Lepowsky} and \textit{R. L. Wilson}, Commun. Math. Phys. 62, 43--53 (1978; Zbl 0388.17006) Full Text: DOI OpenURL References: [1] Feingold, A., Lepowsky, J.: The Weyl-Kac character formula and power series identities (to appear) · Zbl 0391.17009 [2] Garland, H., Lepowsky, J.: Lie algebra homology and the Macdonald-Kac formulas. Inventiones math.34, 37–76 (1976) · Zbl 0358.17015 [3] Kac, V.: Simple irreducible graded Lie algebras of finite growth (in Russian). Izv. Akad. Nauk SSSR32, 1323–1367 (1968); English translation: Math. USSR-Izv.2, 1271–1311 (1968) [4] Kac, V.: Infinite-dimensional Lie algebras and Dedekind’s {\(\eta\)}-function (in Russian). Funkt. Anal. Ego Prilozheniya8, 77–78 (1974); English translation: Funct. Anal. Appl.8, 68–70 (1974) · Zbl 0298.57019 [5] Kac, V.: Infinite-dimensional algebras, Dedekind’s {\(\eta\)}-function, classical Möbius function, and the very strange formula. Advan. Math. (to appear) · Zbl 0391.17010 [6] Kac, V., Kazhdan, D., Lepowsky, J., Wilson, R.: (manuscript in preparation) [7] Lepowsky, J.: Generalized Verma modules, loop space cohomology, and Macdonald-type identities (to appear) · Zbl 0414.17007 [8] Lepowsky, J., Milne, S.: Lie algebraic approaches to classical partition identities. Advan. Math. (to appear) · Zbl 0384.10008 [9] Moody, R.: A new class of Lie algebras. J. Algebra10, 211–230 (1968) · Zbl 0191.03005 [10] Schwartz, J.: Dual resonance theory. Phys. Rept.8C, 269–335 (1973) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.