The Subconstituent Algebra of an Association Scheme (Part II) |
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Authors: | Paul Terwilliger |
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Institution: | (1) Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Madison, WI, 53706 |
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Abstract: | This is a continuation of an article from the previous issue. In this section, we determine the structure of a thin, irreducible module for the subconstituent algebra of a P- and Q- polynomial association scheme. Such a module is naturally associated with a Leonard system. The isomorphism class of the module is determined by this Leonard system, which in turn is determined by four parameters: the endpoint, the dual endpoint, the diameter, and an additional parameter f. If the module has sufficiently large dimension, the parameter f takes one of a certain set of values indexed by a bounded integer parameter e. |
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Keywords: | association scheme P-polynomial Q-poIynomial distance-regular graph |
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