Whittaker modules over Virasoro-like algebra.

In this paper, we study Whittaker modules over Virasoro-like algebra relative to some total order. We determine all Whittaker vectors and the irreducibilities of the universal Whittaker modules. For the reducible ones, we determine their unique maximal submodules, and the corresponding irreducible quotient modules are just those modules constructed by Batra et al. [J. Algebra 322(12), 4163-4180 (2009)]. Using their results we can deduce more properties on the maximal submodules and irreducible modules. [ABSTRACT FROM AUTHOR]