On the combinatorial rank of the quantum groups of type G2

DOI10.1142/S021949882150208XzbMath1493.16037OpenAlexW3041831675MaRDI QIDQ5163443

Carolina Renz, Vanusa Dylewski, Barbara Pogorelsky

Publication date: 4 November 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021949882150208x

zbMATH Keywords

Hopf algebrasquantum groupscombinatorial rank

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ring-theoretic aspects of quantum groups (16T20)

Cites Work

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• Liftings of Nichols algebras of diagonal type III. Cartan type \(G_{2}\)
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• Combinatorial rank of \(u_q(\mathfrak{so}_{2n})\)
• Nichols algebras with standard braiding
• Right coideal subalgebras of the quantum Borel algebra of type \(G_2\)
• Reflexivity and coalgebras of finite type
• Explicit coproduct formulas for quantum group of the type \(G_2\)
• A finite-dimensional Lie algebra arising from a Nichols algebra of diagonal type (rank 2)
• Right coideal subalgebras in \(U_q(\mathfrak{sl}_{n+1})\)
• Computing of the Combinatorial Rank ofu_q(𝔰𝔬_2n+1)

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