3 problems
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Conjectured conjugation relation for the Perk–Schultz transfer matrix
Let denote the Perk–Schultz transfer matrix, and let and denote the identification and conjugation operators introduced for the multispecies exclusion…
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Conjectured conjugation relations for the multispecies ASEP transfer matrix
Let be the transfer matrix, let be the sector with fixed species content, and write for its restriction to…
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The conjecture on the coefficient of in the matrix Ansatz generating function
Coefficient conjecture. The coefficient of in is equal to