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The $W_N^+$ extension of the bispectral invariance conjecture
The reduction ${\mathcal W}(sl_N)$ is obtained by imposing … for $k\in\mathbb Z$ in the defining relation for the reduced algebra; the modes of the resulting fields generate the…
Conjectureopenbispectral-problem representation-theory w-algebrasarXiv posted 2 days ago
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Conjecture that all bispectral scalar differential operators arise from the construction
Bispectral operator conjecture. All bispectral scalar differential operators can be obtained by the constructions described in this paper, namely through the indicated highest weig…
Conjectureopenbispectral-problem differential-operators representation-theoryarXiv posted 2 days ago
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Conjecture on the bispectral algebra for a three-by-three step-up example
Bispectral algebra conjecture. The algebra of all such $\Theta(x)$ is the algebra of polynomials
Conjectureopenbispectral-problem matrix-valued-functions noncommutative-algebrasarXiv posted 2 days ago

The WN+W_N^+WN+​ extension of the bispectral invariance conjecture