Dynkin diagrams of hyperbolic Kac–Moody superalgebras

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Published 12 February 2003 • Published under licence by IOP Publishing Ltd
, , Citation L K Tripathy et al 2003 J. Phys. A: Math. Gen. 36 2087 DOI 10.1088/0305-4470/36/8/307

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1 Department of Physics, Khallikote College, Berhampur, Orissa, 760 001, India

2 Department of Physics, BA College, Berhampur, Orissa, 760 001, India

Dates

  1. Received 3 May 2002
  2. Published

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0305-4470/36/8/2087

Abstract

Hyperbolic Kac–Moody superalgebras are classified in terms of their Dynkin diagrams. These types of Kac–Moody superalgebras are those whose diagrams revert to either that of simple or affine superalgebras upon deletion of one of the vertices. It is found that the maximum rank of this type of algebra is 6.

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10.1088/0305-4470/36/8/307