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math.RA2007★ 1 cited
Algebraic dependence of commuting elements in algebras
Sergei Silvestrov, Christian Svensson, Marcel de Jeu
The aim of this paper to draw attention to several aspects of the algebraic dependence in algebras. The article starts with discussions of the algebraic dependence problem in commu…
math.RA2007★ 18 cited
Algebraic curves for commuting elements in the q-deformed Heisenberg algebra
Marcel de Jeu, Christian Svensson, Sergei Silvestrov
In this paper we extend the eliminant construction of Burchnall and Chaundy for commuting differential operators in the Heisenberg algebra to the q-deformed Heisenberg algebra and…