Whittaker modules over loop Virasoro algebra

Abstract

In this paper, we study Whittaker modules over the loop Virasoro algebra relative to some total order. We give a description of all Whittaker vectors for the universal Whittaker modules. We also show that any universal Whittaker module admits a unique simple quotient modules except for a special case.

Key words： Loop Virasoro algebra; Whittaker module; Whittaker vector

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