Quantum groups in three-dimensional integrability /
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Main Authors: | |
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Published: |
Springer,
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Publisher Address: | Singapore : |
Publication Dates: | [2022] |
Literature type: | Book |
Language: | English |
Series: |
Theoretical and mathematical physics,
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Subjects: | |
Carrier Form: | xi, 331 pages : illustrations ; 25 cm. |
Bibliography: | Includes bibliographical references (pages 321-327) and index. |
ISBN: |
9789811932618 9811932611 |
Index Number: | QC20 |
CLC: | O152.5 |
Call Number: | O152.5/K965 |
Contents: | 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. |