In this paper, Whittaker modules for the Schrödinger-Witt algebra sv are defined. The Whittaker vectors and the irreducibility of the Whittaker modules are studied. sv has a triangular decomposition according to its Cartan subalgebra h: sv = sv − h sv + . For any Lie algebra homomorphism : sv + → C, we can define Whittaker modules of type . When is nonsingular, the Whittaker vectors, the irreducibility, and the classification of Whittaker modules are completely determined. When is singular, by constructing some special Whittaker vectors, we find that the Whittaker modules are all reducible. Moreover, we get some more precise results for special .
In this note we give an answer to a question recently posed by Zeng and Zhong, to note that Cline's formula for a generalized Drazin inverse extends to the case when aba = aca . Cline's formula for a pseudo Drazin inverse is also presented in this case.
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