»ã±¨Ö÷Ì⣺Á¿×ÓȺUq(gln+1)ÉϵÄŤWhittakerÄ£(Twisted Whittaker modules over Uq(gln+1))

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»ã±¨ÌáÒª£ºAs known, the classical nonsingular Whittaker modules over quantum groups can not be defined for non $A_1$-type. In this paper, we introduce and study the twisted Whittaker modules over the quantum group $U_q(\frak{gl}_{n+1})$. We classify all simple twisted Whittaker modules with nonsingular Whittaker vectors.