Quantun function algebras as quantum enveloping algebras

DOI10.1080/00927879808826240zbMath0915.17010arXivq-alg/9701010OpenAlexW2147598018MaRDI QIDQ4392639

Fabio Gavarini

Publication date: 5 July 1999

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

Full work available at URL: https://arxiv.org/abs/q-alg/9701010

zbMATH Keywords

Poincaré-Birkhoff-Witt theorempresentation by generators and relationsquantum enveloping algebrasdual quantum function algebraPoisson Hopf coalgebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (5)

\(F_{q}[M_{n}, F_{q}[\mathrm{GL}_{n}]\) and \(F_{q}[\mathrm{SL}_{n}]\) as quantized hyperalgebras] ⋮ PBW THEOREMS AND FROBENIUS STRUCTURES FOR QUANTUM MATRICES ⋮ Unnamed Item ⋮ F_q[M₂,F_q[GL₂], andF_q[SL₂] as Quantized Hyperalgebras] ⋮ A quantum homogeneous space of nilpotent matrices.

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Some topics on \(GL_ q(n)\)
• Quantum function algebra at roots of 1
• Representations of quantum algebras

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