动力学量子群的对和作用
Pairings and actions for dynamical quantum groups
摘要：
利用量子动力学杨-巴克斯特方程的解，从FRST-构造中构造出的动力学量子群具有自然配对。研究了配对与 *-结构、（unitarizable）余表象和动力学表象的相互作用，并引入了自然的左和右作用。给出了对应于sl（2）的椭圆R-矩阵的椭圆U（2）动力学量子群的具体细节，并利用椭圆超几何函数计算了该对.动力学类似物的球形和奇异向量的共表示。
英文摘要：
Dynamical quantum groups constructed from a FRST-construction using a solution of the quantum dynamical Yang-Baxter equation are equipped with a natural pairing. The interplay of the pairing with *-structures, (unitarizable) corepresentations and dynamical representations is studied, and natural left and right actions are introduced. Explicit details for the elliptic U(2) dynamical quantum group corresponding to the elliptic R-matrix for sl(2) are given, and the pairing is calculated explicitly in terms of elliptic hypergeometric functions. Dynamical analogues of spherical and singular vectors for corepresentations are introduced.
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