Commutation relations of vertex operators related with the spin representation of \(U_q(D_n^{(1)})\)

zbMath0947.17009arXivq-alg/9712014MaRDI QIDQ1269427

Yoshiyuki Koga

Publication date: 7 June 2000

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9712014

zbMATH Keywords

vertex operatorsspin representationquantum symmetryquantum spin chain

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Vertex operators; vertex operator algebras and related structures (17B69) Exactly solvable models; Bethe ansatz (82B23)

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Tetrahedron equation and quantum \(R\) matrices for spin representations of \(B^{(1)}_n\), \(D^{(1)}_n\) and \(D^{(2)}_{n+1}\) ⋮ \(q\)-deformed Clifford algebra and level zero fundamental representations of quantum affine algebras ⋮ Oscillator representations of quantum affine orthosymplectic superalgebras ⋮ Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II

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