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Silvestrov's determinant conjecture for the q-deformed Heisenberg algebra
Let $K$ be the scalar field, let $q\in K\setminus\{0\}$ , and let $\mathcal{H}_q$ be the $q$ -deformed Heisenberg algebra. For commuting elements $P,Q\in\mathcal{H}_q$ , the Burchnall…
Conjectureopenalgebraic-dependence noncommutative-algebra q-deformationsarXiv posted 3 days ago
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Silvestrov's three-part conjecture on Burchnall–Chaundy algebraic dependence
The Burchnall–Chaundy theorem concerns algebraic dependence of commuting elements in algebras and rings, while the Burchnall–Chaundy eliminant is a determinant or resultant constru…
Conjectureopenalgebraic-dependence burchnall-chaundy noncommutative-algebraarXiv posted 3 days ago

Silvestrov's determinant conjecture for the q-deformed Heisenberg algebra