【摘 要】
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We study a family of "symmetric" multiparameter quantized Weyl algebras A(q)∧n(K) and some related algebras.We compute the Nakayama automorphism of A(q),∧n(K)
【机 构】
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Department of Mathematics & Computer Science Fayetteville State University, 1200 Murchison Road Faye
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We study a family of "symmetric" multiparameter quantized Weyl algebras A(q)∧n(K) and some related algebras.We compute the Nakayama automorphism of A(q),∧n(K),give a necessary and sufficient condition for A(q),∧n(K) to be Calabi-Yau,and prove that A(q),∧n(K) is cancellative.We study the automorphisms and isomorphism problem for A(q),∧n(K) and A(q),∧n(K[t]).Similar results are established for the Maltsiniotis multiparameter quantized Weyl algebra A(q),Γ(K) and its polynomial extension.We prove a quantum analogue of the Dixmier conjecture for a simple localization (A(q),∧n(K))Z and determine its automorphism group.
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