Skew-commutator relations and Gröbner-Shirshov basis of quantum group of type \(F_4\)
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Publication:2258918
DOI10.1007/s11464-013-0333-7zbMath1308.17019OpenAlexW1984584089MaRDI QIDQ2258918
Abdukadir Obul, Cheng-xiu Qiang
Publication date: 27 February 2015
Published in: Frontiers of Mathematics in China (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11464-013-0333-7
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15)
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Gröbner-Shirshov basis for degenerate Ringel-Hall algebras of type \(F_4\) ⋮ Gröbner-Shirshov bases of irreducible modules of the quantum group of type \(G_2\) ⋮ Gröbner-Shirshov basis of derived Hall algebra of type \(A_n\) ⋮ Gröbner-Shirshov bases of irreducible modules over the quantum group \(U_q(F_4)\)
Cites Work
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- Gröbner-Shirshov bases for quantum enveloping algebras
- Gröbner-Shirshov basis of quantum group of type \(\mathbb D_4\)
- A Poincaré-Birkhoff-Witt theorem for quantized universal enveloping algebras of type \(A_ N\)
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
- Hall polynomials for the representation-finite hereditary algebras
- Hall algebras and quantum groups
- The diamond lemma for ring theory
- Embeddings into simple associative algebras
- Gröbner-Shirshov basis of quantum group of type \(\mathbb E_6\)
- Gröbner–Shirshov Basis of Quantum Group of TypeG2
- PBW-bases of quantum groups.
- Frobenius morphisms and representations of algebras