Noncommutative discriminants via Poisson primes

DOI10.1016/j.aim.2017.10.018zbMath1403.17020arXiv1603.02585OpenAlexW2964348527MaRDI QIDQ1678143

Kurt Trampel, Bach Nguyen, Milen T. Yakimov

Publication date: 14 November 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.02585

zbMATH Keywords

symplectic foliationsquantum groups at roots of unityalgebra tracesnoncommutative discriminantsPoisson prime elements

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Grassmannians, Schubert varieties, flag manifolds (14M15) Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63)

Related Items

Azumaya loci and discriminant ideals of PI algebras ⋮ A note on the discriminant of reflection Hopf algebras ⋮ Quantized Weyl algebras at roots of unity ⋮ Cluster algebra structures on Poisson nilpotent algebras ⋮ Root of unity quantum cluster algebras and Cayley–Hamilton algebras ⋮ A Morita Cancellation Problem ⋮ Centers and automorphisms of PI quantum matrix algebras ⋮ The Zariski cancellation problem for Poisson algebras ⋮ On the discriminant of twisted tensor products ⋮ Discriminants of Taft algebra smash products and applications ⋮ Cancellation problem for AS-regular algebras of dimension three ⋮ Poisson Dixmier-Moeglin equivalence from a topological point of view ⋮ Cancellation of Morita and skew types ⋮ Zariski cancellation problem for non-domain noncommutative algebras ⋮ Reflexive hull discriminants and applications

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