Mathematics > Rings and Algebras
[Submitted on 5 Jun 2014 (v1), last revised 13 Oct 2014 (this version, v2)]
Title:A Parametric Family of Subalgebras of the Weyl Algebra III. Derivations
View PDFAbstract:An Ore extension over a polynomial algebra F[x] is either a quantum plane, a quantum Weyl algebra, or an infinite-dimensional unital associative algebra A_h generated by elements x,y, which satisfy yx-xy = h, where h is in F[x]. When h is nonzero, these algebras are subalgebras of the Weyl algebra A_1 and can be viewed as differential operators with polynomial coefficients. In previous work, we investigated the structure of A_h, determined its automorphisms and their invariants, and studied the irreducible A_h-modules. Here we determine the derivations of A_h over an arbitrary field.
Submission history
From: Matthew Ondrus [view email][v1] Thu, 5 Jun 2014 20:10:17 UTC (45 KB)
[v2] Mon, 13 Oct 2014 20:19:42 UTC (47 KB)
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