Homogeneous localizations of some quantum enveloping superalgebras
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Publication:4988171
DOI10.1142/S0219498821400053zbMath1470.17008MaRDI QIDQ4988171
Publication date: 12 May 2021
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Gelfand-Kirillov conjectureLie superalgebraquantum superalgebrasuperalgebraskew field of fractionsuniversal enveloping superalgebra
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35) Graded Lie (super)algebras (17B70) Simple, semisimple, reductive (super)algebras (17B20) Associative rings of fractions and localizations (16S85)
Cites Work
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- Zero divisors in enveloping algebras of graded Lie algebras
- Enveloping algebras of Lie superalgebras
- Fixed rings of finite automorphism groups of associative rings
- Finite-dimensional representations of \(U_ q(osp (1/2n))\) and its connection with quantum \(so(2n+1)\)
- On the field of fractions of certain quantum algebras
- Scasimir operator, scentre and representations of \({\mathcal U}_q(\text{osp}(1 |2))\)
- Methods of graded rings.
- Lectures on algebraic quantum groups
- A simple localization of the quantized Weyl algebra
- Quotient rings of graded associative rings. I.
- Sur les corps liés aux algèbres enveloppantes des algèbres de Lie
- Solution of a \(q\)-difference Noether problem and the quantum Gelfand-Kirillov conjecture for \(\mathfrak{gl}_N\)
- On enveloping skew fields of some Lie superalgebras
- Some Lie superalgebras associated to the Weyl algebras
- Quantization of Uq(osp(1/2n)) with deformed para-Bose operators
- Construction of representations of Poincaré group using Lie fields
- The quantum superalgebra Uq(osp(1/2n)): deformed para-Bose operators and root of unity representations
- Enveloping skewfields of the nilpotent positive part and the Borel subsuperalgebra of \large𝔬𝔰𝔭(1,2𝔫)
- Localizations of $$ U_{q}(\mathfrak{s}\mathfrak{l}(2))$$ and $$ U_{q}(\mathfrak{o}\mathfrak{s}\mathfrak{p}(1\vert 2))$$ Associated with Euclidean and Super Euclidean Algebras