论文标题
众所周知欧几里得群体的海森贝格及其表示形式
Heisenberg double of the generalized quantum euclidean group and its representations
论文作者
论文摘要
广义量子欧几里得组$ \ oq（\ frak {b} _ {m，n}）$是量子欧几里得组$ \ oq（\ frak {b} _ {1,1}）$的自然概括。 $ \ oq（\ frak {\ frak {b} _ {m，n}）$的heisenberg double $ \ od（\ frak {b} _ {m，n}）$是$ \ oq的粉碎产品$ \ ou（\ frak {b} _ {m，n}）$。在本文中，我们研究了Heisenberg double $ \ od（\ frak {b} _ {m，n}）$的重量模块，素数和质量频谱和自动形态组。
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 $\od(\frak{b}_{m,n})$.
