Quantum \(\text{SL}(3,\mathbb{C})\)'s with classical representation theory

DOI10.1006/jabr.1998.7658zbMath0924.20036arXivq-alg/9711005OpenAlexW2043397479MaRDI QIDQ1283660

Christian Ohn

Publication date: 16 July 1999

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

Full work available at URL: https://arxiv.org/abs/q-alg/9711005

zbMATH Keywords

quantum groupsreductive groupssimple comodulesTannaka-Krein reconstruction

Mathematics Subject Classification ID

Related Items (11)

PRIME SPECTRUM AND AUTOMORPHISMS FOR 2×2 JORDANIAN MATRICES ⋮ Quantum automorphism groups and \(\mathrm{SO}(3)\)-deformations ⋮ Hecke symmetries associated with the polynomial algebra in 3 commuting indeterminates ⋮ Hecke symmetries: an overview of Frobenius properties ⋮ Quantum groups of \(\mathrm{GL}(2)\) representation type. ⋮ Quantum symmetries and marginal deformations ⋮ The Representation Category of the Quantum Group of a Non-degenerate Bilinear Form ⋮ ON SECOND COHOMOLOGY OF DUALS OF COMPACT GROUPS ⋮ ``Classical flag varieties for quantum groups: the standard quantum \(\text{SL}(n,{\mathbb C})\). ⋮ Twisting the \(q\)-deformations of compact semisimple Lie groups ⋮ Towards a Classification of Compact Quantum Groups of Lie Type

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• Boundary solutions of the quantum Yang-Baxter equation and solutions in three dimensions
• Poincaré-Birkhoff-Witt theorem for quadratic algebras of Koszul type
• Spiders for rank 2 Lie algebras
• Constant solutions of Yang-Baxter equation for $\mathfrak{sl}(2)$ and $\mathfrak{sl}(3)$.
• Quantum deformations of GL_n
• Koszul Resolutions

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