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- W2952908526 abstract "Recently B. Hartwig and the second author found a presentation for the three-point $sl_2$ loop algebra via generators and relations. To obtain this presentation they defined an algebra $boxtimes$ by generators and relations, and displayed an isomorphism from $boxtimes$ to the three-point $sl_2$ loop algebra. We introduce a quantum analog of $boxtimes$ which we call $boxtimes_q$. We define $boxtimes_q$ via generators and relations. We show how $boxtimes_q$ is related to the quantum group $U_q(sl_2)$, the $U_q(sl_2)$ loop algebra, and the positive part of $U_q(hat{sl_2})$. We describe the finite dimensional irreducible $boxtimes_q$-modules under the assumption that $q$ is not a root of 1, and the underlying field is algebraically closed." @default.
- W2952908526 created "2019-06-27" @default.
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- W2952908526 date "2006-02-09" @default.
- W2952908526 modified "2023-09-27" @default.
- W2952908526 title "The $q$-tetrahedron algebra and its finite dimensional irreducible modules" @default.
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