The skew-commutator relations and Gröbner-Shirshov bases of quantum group of type \(C_3\)
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Publication:2025226
DOI10.1007/s10255-020-0982-8zbMath1470.16047OpenAlexW3114823133MaRDI QIDQ2025226
Abdukadir Obul, Cheng-xiu Qiang
Publication date: 11 May 2021
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-020-0982-8
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Gröbner-Shirshov bases (16Z10)
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 \(\mathbb E_6\)
- Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
- Gröbner–Shirshov Basis of Quantum Group of TypeG2
- PBW-bases of quantum groups.
- Frobenius morphisms and representations of algebras