Titlebook: Quantum Groups in Three-Dimensional Integrability; Atsuo Kuniba Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive

monogamy

Intertwiner for Quantized Coordinate Ring ,alogous to the tetrahedron or 3D reflection equations. Nevertheless, the intertwining relation still admits a reformulation as what we call the quantized . reflection equation. This fact will be utilized to construct matrix product solutions to the . reflection equation in Chap. ..

upstart

Trace Reductions of ,xplicit formulas, construct commuting layer transfer matrices, and demonstrate that the birational versions reproduce the distinguished example of set-theoretical solutions to the Yang–Baxter equation known as geometric ..

Enervate

monogamy

,Trace Reduction of ,onstructed. The procedure is parallel with the one applied to the tetrahedron equation in Chap. .. The resulting . matrices are expressed by the matrix product formula. They are characterized in the quantum group theoretical framework based on the Onsager coideal of ..

DECRY

,Boundary Vector Reductions of ,hich have been detailed in Chap. .. The . part generates the companion . matrices that satisfy the reflection equation. They are expressed by a matrix product formula in terms of . and characterized as the intertwiners of various Onsager coideals of the quantum affine algebras .. The final list of the solutions is summarized in Table ..

Liability

Application to Multispecies TASEP,x model on an . lattice. The stationary condition is translated into their quadratic relations, the so-called Faddeev–Zamolodchikov algebra, which are highly non-local from the viewpoint of the five-vertex model. They are shown to be a far-reaching consequence of the single tetrahedron equation of type . in Sect. . and its solution in Theorem ..

Ovulation

1864-5879 ation of the conventional Yang–Baxter and reflection equatioQuantum 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 quan

frozen-shoulder

dann, wenn man die gesamten, auch außerökonomischen, Naturprozesse miteinbezöge. Man könnte nun argumentieren, daß der reale Stoffwechselprozeß über den Vorgang der Assimilation ja dazu diene, den akkumulativen Kreislaufprozeß des Geldes zu “füttern”, ihn zu ermöglichen. Hier hätte man aber bereits

Clinch

Atsuo Kunibatationsweise. Für die vorliegende 8. Auflage wurden große Teile der Kapitel 1 bis 4 gründlich überarbeitet und ergänzt. Das neue Kapitel 9 bietet unterhaltsame Einblicke in die spannende (Vor-)Geschichte der Spieltheorie. .Eine gut lesbare Einführung!.978-3-642-31962-4978-3-642-31963-1

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Atsuo Kunibatationsweise. Für die vorliegende 8. Auflage wurden große Teile der Kapitel 1 bis 4 gründlich überarbeitet und ergänzt. Das neue Kapitel 9 bietet unterhaltsame Einblicke in die spannende (Vor-)Geschichte der Spieltheorie. .Eine gut lesbare Einführung!.978-3-642-31962-4978-3-642-31963-1