For tridiagonal pairs, the raising and lowering maps defined by the eigenspaces of A* and by the split decomposition are intertwined by a single bijection, with explicit formulas and rank consequences.
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Raising and lowering maps for tridiagonal pairs
For tridiagonal pairs, the raising and lowering maps defined by the eigenspaces of A* and by the split decomposition are intertwined by a single bijection, with explicit formulas and rank consequences.