An Action of the Tetrahedron Algebra on the Standard Module for the Hamming Graphs and Doob Graphs

College

College of Science

Department/Unit

Mathematics and Statistics Department

Document Type

Article

Source Title

Graphs and Combinatorics

Volume

30

Issue

6

First Page

1513

Last Page

1527

Publication Date

1-1-2014

Abstract

© 2013, Springer Japan. We display an action of the tetrahedron algebra (Formula presented.) on the standard module for any Hamming graph or Doob graph. To do this, we use some results of Brian Hartwig concerning tridiagonal pairs of Krawtchouk type.

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Digitial Object Identifier (DOI)

10.1007/s00373-013-1366-0

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