Quantum groups in three-dimensional integrability /

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Bibliographic Details
Main Authors: Kuniba, Atsuo, 1961-
Published: Springer,
Publisher Address: Singapore :
Publication Dates: [2022]
Literature type: Book
Language: English
Series: Theoretical and mathematical physics,
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.