PBW-bases of the twisted generic composition algebras of affine valued quivers.
DOI10.1016/j.jalgebra.2005.08.034zbMath1119.16015OpenAlexW2061554560MaRDI QIDQ2491816
Abdukadir Obul, Guang-Lian Zhang
Publication date: 29 May 2006
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.08.034
quantum groupsrepresentation theoryAuslander-Reiten quiversrepresentations of quiversRingel-Hall algebrasfoldingsFrobenius morphismsPoincaré-Birkhoff-Witt basesPBW-basesgeneric composition algebras
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20)
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Cites Work
- Monomial bases for quantum affine \(\mathfrak{sl}_n\)
- Tame algebras and integral quadratic forms
- Infinite root systems, representations of graphs and invariant theory
- Hall algebras and quantum groups
- Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian
- On algebras of finite representation type
- Representations of K-species and bimodules
- Triangulated categories and Kac-Moody algebras
- Affine quivers and canonical bases
- Hall algebras, hereditary algebras and quantum groups
- Triangular decomposition of the composition algebra of the Kronecker algebra
- Indecomposable representations of graphs and algebras
- The Composition Algebra of a Cyclic Quiver
- PBW-basis for the composition algebra of the Kronecker algebra
- PBW-bases of quantum groups.
- Frobenius morphisms and representations of algebras
- BGP-reflection functors and Lusztig's symmetries: a Ringel-Hall algebra approach to quantum groups
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