Fq[M2],Fq[GL2], andFq[SL2] as Quantized Hyperalgebras

DOI10.1080/00927870802241238zbMath1287.17030arXivmath/0411440OpenAlexW2083081956MaRDI QIDQ3618529

Fabio Gavarini, Zoran Rakic

Publication date: 2 April 2009

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

Full work available at URL: https://arxiv.org/abs/math/0411440

zbMATH Keywords

Hopf algebrasquantum groups

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups (quantized function algebras) and their representations (20G42) Hopf algebras and their applications (16T05)

Related Items (1)

\(F_{q}[M_{n}, F_{q}[\mathrm{GL}_{n}]\) and \(F_{q}[\mathrm{SL}_{n}]\) as quantized hyperalgebras]

Cites Work

• Unnamed Item
• Quantum function algebra at roots of 1
• Quantization of Poisson groups
• Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
• \(F_{q}[M_{n}, F_{q}[\mathrm{GL}_{n}]\) and \(F_{q}[\mathrm{SL}_{n}]\) as quantized hyperalgebras]
• Quantun function algebras as quantum enveloping algebras
• The global quantum duality principle
• Introduction to Lie Algebras and Representation Theory

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