Convex PBW-type Lyndon bases and restricted two-parameter quantum groups of type \(B\)
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Publication:2268972
DOI10.1016/j.geomphys.2009.11.005zbMath1263.17014arXiv0812.3343OpenAlexW2111413800MaRDI QIDQ2268972
Publication date: 15 March 2010
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0812.3343
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ring-theoretic aspects of quantum groups (16T20)
Related Items (14)
Ribbon Hopf superalgebras and Drinfel'd double ⋮ A novel quantum affine algebra of type 𝐴₁⁽¹⁾ and its PBW basis ⋮ Two-parameter quantum affine algebra of type \(C_n^{(1)}\), Drinfeld realization and vertex representation ⋮ Convex PBW-type Lyndon bases and restricted two-parameter quantum group of type \(F_4\) ⋮ Yetter-Drinfeld modules under cocycle twists. ⋮ Factorization of simple modules for certain restricted two-parameter quantum groups ⋮ On the centre of two-parameter quantum groups \(U_{r, s}(\mathfrak{g})\) for type \(B_n\) with \(n\) even ⋮ Derivations of the positive part of the two-parameter quantum group of type \(G_2\) ⋮ Derivations and automorphisms of the positive part of the two-parameter quantum group \(U_{r,s}(B_{3})\) ⋮ Quantum superalgebras \(\mathfrak u_q (\mathfrak{sl}(m|n))\) at roots of unity ⋮ Twists and quantizations of Cartan type \(S\) Lie algebras ⋮ Another admissible quantum affine algebra of type \(A_1^{(1)}\) with quantum Weyl group ⋮ Two-parameter quantum affine algebra of type G2(1), Drinfeld realization and vertex representation ⋮ Restricted forms of quantum supergroups
Cites Work
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- A necessary and sufficient condition for a finite-dimensional Drinfel'd double to be a ribbon Hopf algebra
- A combinatorial approach to the quantification of Lie algebras.
- Two-parameter quantum affine algebra \(U_{r,s}(\widehat{\mathfrak {sl}_n})\), Drinfel'd realization and quantum affine Lyndon basis
- Notes on 2-parameter quantum groups. I.
- The two-parameter quantum group of exceptional type \(G_2\) and Lusztig's symmetries
- Convex bases of PBW type for quantum affine algebras
- Two-parameter quantum groups and Drinfel'd doubles.
- Convex PBW-type Lyndon basis and restricted two-parameter quantum groups of type \(G_2\)
- Drinfel'd doubles and Lusztig's symmetries of two-parameter quantum groups
- Notes on Two-Parameter Quantum Groups, (II)
- Two-parameter Quantum Groups of Exceptional Type E-Series and Convex PBW-type Basis
- Standard Lyndon Bases of Lie Algebras and Enveloping Algebras
- Introduction to quantum groups
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