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JOURNALS // Algebra and Discrete Mathematics // Archive

Algebra Discrete Math., 2005 Issue 1, Pages 30–46 (Mi adm287)

RESEARCH ARTICLE

Realizations of affine Lie algebras

Vyacheslav Futorny

IME–USP, Caixa Postal 66281, Sao Paulo, CEP 05315–970, Brazil

Abstract: This is an expository paper on some realizations of affine Lie algebras and their representations in terms of differential operators. In particular we recall the classical construction of Wakimoto modules and its recent generalization – Intermediate Wakimoto modules [CF].

Keywords: Affine Lie algebra, free field, Verma module.

MSC: 17B67

Received: 05.03.2005
Revised: 24.03.2005

Language: English



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