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- W3207220193 abstract "The generalized quantum group of type $A$ is an affine analogue of the quantum group associated to a general linear Lie superalgebra, which appears in the study of solutions to the tetrahedron equation or the three-dimensional Yang–Baxter equation. In this paper we develop the crystal base theory for finite-dimensional representations of generalized quantum groups of type $A$. As the main result, we construct Kirillov–Reshetikhin modules, that is, a family of irreducible modules which have crystal bases. We also give an explicit combinatorial description of the crystal structure of Kirillov–Reshetikhin modules, the combinatorial $R$ matrix and the energy function on their tensor products." @default.
- W3207220193 created "2021-10-25" @default.
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- W3207220193 date "2021-10-08" @default.
- W3207220193 modified "2023-09-30" @default.
- W3207220193 title "Kirillov–Reshetikhin Modules of Generalized Quantum Groups of Type $A$" @default.
- W3207220193 doi "https://doi.org/10.4171/prims/57-3-9" @default.
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