Introduces π²-graded Hopf algebras whose finite-dimensional representations form rigid monoidal categories with a fiber functor to π-graded vector spaces, with main examples from restricted quantum groups in Andrews-Baxter-Forrester and Jimbo-Miwa-Okado models.
Resonance relations for solutions of the elliptic QKZB equations, fusion rules, and eigenvectors of transfer matrices of re- stricted interaction-round-a-face models
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Restricted quantum groups as graded Hopf algebras
Introduces π²-graded Hopf algebras whose finite-dimensional representations form rigid monoidal categories with a fiber functor to π-graded vector spaces, with main examples from restricted quantum groups in Andrews-Baxter-Forrester and Jimbo-Miwa-Okado models.