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Wakimoto modules for the affine Lie superalgebras A(m−1, n−1)(1) and D(2, 1, a)(1)

Published online by Cambridge University Press:  17 June 2002

KENJI IOHARA  and
YOSHIYUKI KOGA
KENJI IOHARA
Affiliation:
Department of Mathematics, Faculty of Science, Kobe University, Kobe 657-8501, Japan.
YOSHIYUKI KOGA
Affiliation:
Department of Mathematics, Sophia University, Tokyo 102-8554, Japan.
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Abstract

In this paper, we construct Wakimoto modules for basic affine Lie superalgebras of type A(m−1, n−1)(1) and D(2, 1, a)(1). As an application, we compute the characters of irreducible highest weight modules at the critical level.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 132 , Issue 3 , May 2002 , pp. 419 - 433
Copyright
2002 Cambridge Philosophical Society

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