Combinatorial rank of \(u_q(\mathfrak{so}_{2n})\)

DOI10.1016/J.JALGEBRA.2015.08.001zbMath1395.17025OpenAlexW2518127787MaRDI QIDQ903931

M. L. Díaz Sosa, Vladislav Kharchenko

Publication date: 15 January 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.08.001

zbMATH Keywords

quantum groupPBW basiscombinatorial representationskew primitive elements

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ring-theoretic aspects of quantum groups (16T20) Hopf algebras and their applications (16T05)

Related Items (1)

On the combinatorial rank of the quantum groups of type G2

Cites Work

• Triangular decomposition of right coideal subalgebras
• Right coideal subalgebras of \(U_q^+(\mathfrak{so}_{2n+1})\)
• Biinvertible actions of Hopf algebras
• A combinatorial approach to the quantification of Lie algebras.
• The structure of Hopf algebras with a projection
• Explicit coproduct formula for quantum groups of infinite series
• Constants of coordinate differential calculi defined by Yang-Baxter operators.
• On antipodes in pointed Hopf algebras
• Right coideal subalgebras in \(U_q(\mathfrak{sl}_{n+1})\)
• Computing of the Combinatorial Rank ofu_q(𝔰𝔬_2n+1)
• PBW-bases of coideal subalgebras and a freeness theorem
• Quantum Coadjoint Action
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