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Representations of double affine lie algebras

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A Tribute to C. S. Seshadri

Abstract

We study a family of indecomposable integrable modules for the double affine algebra, the so-called Weyl modules. These modules have non-zero level with respect to one of the central elements and zero level with respect to the other. We give a condition for the modules to be irreducible, and use the idea of fusion product of modules to prove that they are generically reducible.

Dedicated to Professor C.S. Seshadri on his 70th birthday

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Authors and Affiliations

  1. Department of Mathematics, University of California, Riverside, CA, 92521, USA

    Vyjayanthi Chari & Thang Le

Authors
  1. Vyjayanthi Chari
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  2. Thang Le
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Editor information

V. Lakshmibai V. Balaji V. B. Mehta K. R. Nagarajan K. Pranjape P. Sankaran R. Sridharan

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© 2003 Hindustan Book Agency

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Chari, V., Le, T. (2003). Representations of double affine lie algebras. In: Lakshmibai, V., et al. A Tribute to C. S. Seshadri. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-11-8_15

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