Large commutative subalgebras of quantum algebras.
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Publication:2488373
DOI10.1007/s10958-006-0091-0zbMath1100.16039OpenAlexW2051542597MaRDI QIDQ2488373
Publication date: 23 May 2006
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-006-0091-0
quantum algebrascentersfiltered algebrasassociated graded algebrastranscendence degreescommuting independent elements
Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Rings of differential operators (associative algebraic aspects) (16S32) Filtered associative rings; filtrational and graded techniques (16W70)
Cites Work
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- Some remarks on Koszul algebras and quantum groups
- Sklyanin elliptic algebras
- Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras
- Commutative subalgebras of quantum algebras.
- Compact matrix pseudogroups
- Multiparametric quantum deformation of the general linear supergroup
- Transcendental division algebras and simple Noetherian rings
- The skew field of rational functions on the quantum plane
- On the prime and primitive spectra of the algebra of functions on a quantum group
- On the field of fractions of certain quantum algebras
- Modules over a Weyl quantum algebra
- Modules over crossed products of a division ring by a free Abelian group. I
- Lectures on algebraic quantum groups
- Quantum solvable algebras. Ideals and representations at roots of 1
- Algebra of functions on the quantum group SU(2)
- Pointed Hopf algebras acting on quantum polynomials
- The actions of quantum groups on quantum spaces.
- Automorphisms of certain completions of quantum Weyl skewfields
- Sur les corps liés aux algèbres enveloppantes des algèbres de Lie
- Commutative subalgebras of the ring of quantum polynomials and of the skew field of quantum Laurent series
- STRATIFICATION OF PRIME SPECTRUM OF QUANTUM SOLVABLE ALGEBRAS
- Crossed Products and Multiplicative Analogues of Weyl Algebras
- Quantum deformations of GLn
- Some aspects of the theory of quantum groups
- The skew field of rational quantum functions
- General quantum polynomials: irreducible modules and Morita equivalence
- Crossed products and finitely presented groups
- Elliptic algebras
- Certain commutative subalgebras of a quantum polynomial algebra are finitely generated
- Quantum groups
- Fields of fractions of quantum solvable algebras
- Homological properties of quantum polynomials