Representations of the virasoro-like algebra and itsq-Analog

A class of integrable modules for the core of EALA coordinatized by quantum tori

“…But in the quantum case it is tough. A class of modules for h 0 ⊗ C q has been constructed in [27] and the author thinks there are lot more.…”

Whittaker modules for a Lie algebra of Block type

“…It is also a special case of Cartan type S Lie algebra or Cartan type H Lie algebra. Partially due to these facts, the study of this Lie algebra or its analogs has recently attracted some authors' attentions (see, e.g., [3,5,9,10,[12][13][14]16,18]). It is well known that although Cartan type Lie algebras have a long history, their representation theory is far from being well developed.…”

Harish-Chandra modules for the q-analog Virasoro-like algebra

“…The authors of [11,16], see also [9,10], investigated the universal central extension and automorphism group of the q-analog Virasoro-like algebra. In [12,17], the authors constructed two classes of modules for this Lie algebra with trivial center, while the authors of [6] constructed a class of Harish-Chandra modules for the algebra with nontrivial center. Recently, in the paper [2] the authors obtained a sufficient condition for a class of induced modules of the algebra with trivial center to be a HarishChandra module.…”