Quantum toroidal algebra Uq(sl2,tor) and R matrices

DOI10.1063/1.1357198zbMath1032.17028OpenAlexW1501160956MaRDI QIDQ2774899

Kei Miki

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1357198

zbMATH Keywords

comultiplicationstensor product representationsquantum toroidal algebra

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (8)

A Serre-type theorem for the elliptic Lie algebras with rank \(\geq 2\) ⋮ Branching rules for quantum toroidal \(\mathfrak{gl}_n\) ⋮ Actions of the quantum toroidal algebra of type sl2 on the space of vertex operators for Uq(gl2̂) modules ⋮ Vertex representation of quantum N-toroidal algebra for type F₄ ⋮ Some quotient algebras arising from the quantum toroidal algebra \(U_{q}(sl_{n+1}(\mathcal{C}_{\gamma}))\) \((n\geq 2)\) ⋮ A (q,γ) analog of the W1+∞ algebra ⋮ Vertex representations of quantum N-toroidal algebras for type C ⋮ Finite dimensional modules over quantum toroidal algebras

Cites Work

• Langlands reciprocity for algebraic surfaces
• Introduction to quantum groups
• Unnamed Item

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