Burchnall-Chaundy Theory for q-Difference Operators and q-Deformed Heisenberg Algebras

By Daniel S. D. Larsson, Sergei Silvestrov. 2003

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Abstract This paper is devoted to an extension of Burchnall-Chaundy theory on the interplay between algebraic geometry and commuting differential operators to the case of q-difference operators.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c75f6cd71ffca773d816e995485dd39cae7c249b