Theq-difference Noether problem for complex reflection groups and quantum OGZ algebras
DOI10.1080/00927872.2016.1172631zbMath1420.16028arXiv1512.09234OpenAlexW2202998794MaRDI QIDQ2984867
Publication date: 12 May 2017
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.09234
quantum groupGalois ringGelfand-Tsetlin basisnon-commutative invariant theoryquantum Gelfand-Kirillov conjecture
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Infinite-dimensional and general division rings (16K40) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Associative rings of fractions and localizations (16S85)
Related Items (2)
Cites Work
- Unnamed Item
- Galois orders in skew monoid rings.
- Quantization of the Dixmier localization of \(U(sl_{n+1}(\mathbb C))\)
- Rings of skew polynomials and Gel'fand-Kirillov conjecture for quantum groups
- On the field of fractions of certain quantum algebras
- Vanishing of derivations and prime spectra of quantum algebras
- Construction of Gelfand-Tsetlin basis for \({\mathcal U}_ q(gl(N+1))\)- modules
- Introduction to complex reflection groups and their braid groups.
- Gelfand–Tsetlin Bases for Classical Lie Algebras
- Polynomial invariants of finite groups. A survey of recent developments
- Some associative algebras related to $U(\mathfrak g)$ and twisted generalized Weyl algebras
- Noncommutative Noether’s problem for complex reflection groups
- On the Gelfand-Kirillov conjecture for quantum algebras
- Invariants of Certain Groups I
- Finite Unitary Reflection Groups
- Fields of fractions of quantum solvable algebras
- On Gelfand-Zetlin modules over \(U_q(gl_n)\)
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