The prime spectrum of quantum SL3 and the Poisson prime spectrum of its semiclassical limit
From MaRDI portal
Publication:4642695
DOI10.1112/tlm3.12004zbMath1408.17005arXiv1505.06627OpenAlexW3125636625MaRDI QIDQ4642695
Publication date: 25 May 2018
Published in: Transactions of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.06627
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Poisson algebras (17B63) Ring-theoretic aspects of quantum groups (16T20)
Related Items (3)
From Grassmann necklaces to restricted permutations and back again ⋮ Poisson derivations of a semiclassical limit of a family of quantum second Weyl algebras ⋮ Poisson deleting derivations algorithm and Poisson spectrum
Cites Work
- Unnamed Item
- Unnamed Item
- Efficient recognition of totally nonnegative matrix cells
- Quantum matrices by paths.
- A graph theoretic method for determining generating sets of prime ideals in quantum matrices
- Totally nonnegative cells and matrix Poisson varieties
- Torus-invariant prime ideals in quantum matrices, totally nonnegative cells and symplectic leaves.
- Quantum and Poisson structures of multi-parameter symplectic and Euclidean spaces
- On the prime and primitive spectra of the algebra of functions on a quantum group
- Algebraic structure of multiparameter quantum groups
- Lectures on algebraic quantum groups
- From totally nonnegative matrices to quantum matrices and back, via Poisson geometry
- Vanishing of derivations and prime spectra of quantum algebras
- Winding-invariant prime ideals in quantum \(3\times 3\) matrices.
- The \(q\)-division ring and its fixed rings.
- The quantum coordinate ring of the special linear group
- Primitive ideals in quantum 𝑆𝐿₃ and 𝐺𝐿₃
- On the Spectra of Quantum Groups
- Zariski topologies on stratified spectra of quantum algebras
- Poisson deleting derivations algorithm and Poisson spectrum
- Relationship Between Quantum and Poisson Structures of Odd Dimensional Euclidean Spaces
- Every Quantum Minor Generates an Ore Set
- Semiclassical limits of quantized coordinate rings
- Invariant prime ideals in quantizations of nilpotent Lie algebras
- Semiclassical limits of quantum affine spaces
- Symplectic ideals of poisson algebras and the poisson structure associated to quantum matrices
- The Dixmier-Moeglin equivalence in quantum coordinate rings and quantized Weyl algebras
This page was built for publication: The prime spectrum of quantum SL3 and the Poisson prime spectrum of its semiclassical limit
