On the shape of a tridiagonal pair


Let K denote a field and let V denote a vector space over K with finite positive dimension. We consider a pair of linear transformations A : V → V and A∗ : V → V that satisfy the following conditions: (i) each of A,A∗ is diagonalizable; (ii) there exists an ordering {Vi} d i=0 of the eigenspaces of A such that A ∗Vi ⊆ Vi−1+Vi+Vi+1 for 0 ≤ i ≤ d, where V−1… (More)


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@inproceedings{Nomura2009OnTS, title={On the shape of a tridiagonal pair}, author={Kazumasa Nomura and Paul Terwilliger}, year={2009} }