Quantum Groups in Three-Dimensional Integrability [E-Book] / by Atsuo Kuniba.
Quantum groups have been studied intensively in mathematics and have found many valuable applications in theoretical and mathematical physics since their discovery in the mid-1980s. Roughly speaking, there are two prototype examples of quantum groups, denoted by Uq and Aq. The former is a deformatio...
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Full text |
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Personal Name(s): | Kuniba, Atsuo, author |
Edition: |
1st edition 2022. |
Imprint: |
Singapore :
Springer,
2022
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Physical Description: |
XI, 331 pages 96 illustrations, 32 illustrations in color (online resource) |
Note: |
englisch |
ISBN: |
9789811932625 |
DOI: |
10.1007/978-981-19-3262-5 |
Series Title: |
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Theoretical and Mathematical Physics
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Subject (LOC): |
- Introduction
- Tetrahedron equation
- 3D R from quantized coordinate ring of type A
- 3D reflection equation and quantized reflection equation
- 3D K from quantized coordinate ring of type C
- 3D K from quantized coordinate ring of type B
- Intertwiners for quantized coordinate ring Aq (F4)
- Intertwiner for quantized coordinate ring Aq (G2)
- Comments on tetrahedron-type equation for non-crystallographic Coxeter groups
- Connection to PBW bases of nilpotent subalgebra of Uq
- Trace reductions of RLLL = LLLR
- Boundary vector reductions of RLLL = LLLR
- Trace reductions of RRRR = RRRR
- Boundary vector reductions of RRRR = RRRR
- Boundary vector reductions of (LGLG)K = K(GLGL)
- Reductions of quantized G2 reflection equation
- Application to multispecies TASEP.