Yongjun Xu, Jialei Chen: Revisit on representation theory of quantum group $U_{q}(\mathfrak{sl}_2)$, 23-32

Abstract:

In this present paper, we recover the well-known finite dimensional representation theory of the classical Drinfeld-Jimbo quantum group $U_{q}(\mathfrak{sl}_2)$ in a new and elementary way.

Key Words: Krull-Schmidt theorem, quantum group, indecomposable module, $q^2$-chain module, block.

2020 Mathematics Subject Classification: 17B37.

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