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Zbl 0505.17008
Frenkel, I.B.
Representations of affine Lie algebras, Hecke modular forms and Korteweg- de Vries type equations. (English)
[A] Lie algebras and related topics, Proc. Conf., New Brunswick/USA 1981, Lect. Notes Math. 933, 71-110 (1982).

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MSC 2000:: *17B65 Infinite-dimensional Lie algebras
17B10 Representations of Lie algebras, algebraic theory
11F11 Modular forms, one variable
35Q99 PDE of mathematical physics and other areas

Keywords: representation theory of affine Lie algebras; infinite-dimensional Kac- Moody algebras of finite growth; Korteweg-de Vries type differential equations; open questions; dual resonance model; Heisenberg subalgebras; soliton equations; application to Hecke modular forms; principal characters of standard representations

Citations: Zbl 0483.00003; Zbl 0493.17010; Zbl 0476.17003

Cited in: Zbl 1035.17038

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