Commutative Ring Theory, Commutative Rings and Symmetry
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: closed (31 March 2021) | Viewed by 3229
Special Issue Editor
Interests: algebra; ring theory; Specht problem; combinatorial geometry; affine algebraic geometry
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Quantum mechanics methods provide solutions of some classical problems of noncommutative algebra and algebraic geometry. For example, an equivalence between famous Jacobian and Dixmier conjectures [1,2] was established via an anti-quantization procedure, with infinitely large primes playing the role of a plank constant. The Kontsevich conjecture about canonical isomorphism between symmetry groups: ploynomial symplectoauthomorphisms and authomorphsisms of Weil algebra depicts the equivariance of quantization procedure [3].
This view point provides relation between quantization and symmetry is certainly one of many, the variety of which can provide some fruitful discussion.
Prof. Alexei Kanel-Belov
Guest Editor
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Keywords
- quantization
- Weil algebra, Kontsevich quantization theorem
- polynomial authomorphisms and quantization
- dequantization
- Poisson brackets, symmetry, equivariant quantization
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