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Quantum Groups in Three-Dimensional Integrability

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Cover of 'Quantum Groups in Three-Dimensional Integrability'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Tetrahedron Equation
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    Chapter 3 3D R From Quantized Coordinate Ring of Type A
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    Chapter 4 3D Reflection Equation and Quantized Reflection Equation
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    Chapter 5 3D K From Quantized Coordinate Ring of Type C
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    Chapter 6 3D K From Quantized Coordinate Ring of Type B
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    Chapter 7 Intertwiners for Quantized Coordinate Ring $$A_q(F_4)$$ A q ( F 4 )
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    Chapter 8 Intertwiner for Quantized Coordinate Ring $$A_q(G_2)$$ A q ( G 2 )
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    Chapter 9 Comments on Tetrahedron-Type Equation for Non-crystallographic Coxeter Groups
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    Chapter 10 Connection to PBW Bases of Nilpotent Subalgebra of $$U_q$$
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    Chapter 11 Trace Reductions of $$RLLL=LLLR$$ R L L L = L L L R
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    Chapter 12 Boundary Vector Reductions of $$RLLL=LLLR$$
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    Chapter 13 Trace Reductions of $$RRRR=RRRR$$
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    Chapter 14 Boundary Vector Reductions of $$RRRR=RRRR$$
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    Chapter 15 Trace Reduction of $$(LGLG)K= K(GLGL)$$
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    Chapter 16 Boundary Vector Reductions of $$(LGLG)K= K(GLGL)$$
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    Chapter 17 Reductions of Quantized $$G_2$$ Reflection Equation
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    Chapter 18 Application to Multispecies TASEP
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