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arXiv · 2211.02500

Heisenberg double of the generalized quantum euclidean group and its representations

Limeng Xia
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Abstract

The generalized quantum Euclidean group $\oq(\frak{b}_{m,n})$ is a natural generalization of the quantum Euclidean group $\oq(\frak{b}_{1,1})$. The Heisenberg double $\od(\frak{b}_{m,n})$ of $\oq(\frak{b}_{m,n})$ is the smash product of $\oq(\frak{b}_{m,n})$ with its Hopf dual $\ou(\frak{b}_{m,n})$. In this paper, we study the weight modules, the prime spectrum and the automorphism group of the Heisenberg double $\od(\frak{b}_{m,n})$.

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Limeng Xia. 2022-11-04. Heisenberg double of the generalized quantum euclidean group and its representations. https://arxiv.org/abs/2211.02500

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