Quantum R matrices related to the spin representations of \(B_ n\) and \(D_ n\)

DOI10.1007/BF02098442zbMath0722.17008MaRDI QIDQ755866

Masato Okado

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

vertex modelsquantum groupsaffine Lie algebrasspin representationsstring functionstrigonometric quantum R matrices

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

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Cites Work

• Infinite-dimensional Lie algebras, theta functions and modular forms
• Quantum R matrix for the generalized Toda system
• Quantum deformations of certain simple modules over enveloping algebras
• Yang-Baxter equation and representation theory. I
• Exactly solvable SOS models. Local height probabilities and theta function identities
• One-dimensional configuration sums in vertex models and affine Lie algebra characters
• Quantum R matrix for G₂and a solvable 175-vertex model
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