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@inproceedings{Terwilliger2003TwoLT, title={Two linear transformations each tridiagonal with respect to an eigenbasis of the other ; an overview}, author={Paul Terwilliger}, year={2003} }

- Published 2003

Let K denote a field and let V denote a vector space over K with finite positive dimension. We consider an ordered pair of linear transformations A : V → V and A∗ : V → V that satisfy conditions (i), (ii) below. (i) There exists a basis for V with respect to which the matrix representing A is irreducible tridiagonal and the matrix representing A∗ is diagonal. (ii) There exists a basis for V with respect to which the matrix representing A is diagonal and the matrix representing A∗ is irreducible… CONTINUE READING

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