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math-ph2000★ 24 cited
Solitons and Almost-Intertwining Matrices
Alex Kasman, Michael Gekhtman
We define the set of almost-intertwining matrices to be all triples(X,Y,Z) of n x n matrices for which XZ=YX+T for some rank one matrix T. A surprisingly simple formula is given fo…
math-ph2000★ 4 cited
Nested Bethe Ansatz and Finite Dimensional Canonical Commutation Relations
Alex Kasman
Recent interest in discrete, classical integrable systems has focused on their connection to quantum integrable systems via the Bethe equations. In this note, solutions to the rati…