2012/12/17 by David A. Jordan, Jordan, David A. · 1 citation
Mathematics · #17B63 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA #msc:17B63
paper · pdf · doi:10.48550/arxiv.1212.4063
arxiv created 2012/12/17 · arxiv updated 2012/12/18
For a derivation d of a commutative Noetherian complex algebra A, a homeomorphism is established between the prime spectrum of the Ore extension A[z;d] and the Poisson prime spectrum of the polynomial algebra A[z] endowed with the Poisson bracket such that A,A=0 and z,a=d(a) for all a in A. Several illustrative examples are discussed including some where A is known to be d-simple.