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math.RTJan 10, 2018
3
citations (OpenAlex)
authors
  • Xuewen Liu
  • Xiangqian Guo
arXiv abstractPDF
paper

$U(\fh)$-free modules over the Block algebra $\BB(q)$

arXiv:1801.03232

Abstract

In this paper, we construct a new class of modules over the Block algebra $\BB(q)$, where q is a nonzero complex number. We determined the irreducibilities of these modules and the isomorphisms among them.

References in corpus (9)

  • Simple sl_{n+1}-module structures on U(h)
  • U(h)-free modules and coherent families
  • Whittaker Modules for the twisted Heisenberg-Virasoro Algebra
  • Modules over the Heisenberg-Virasoro and W(2,2) algebras
  • Whittaker vectors of the Virasoro algebra in terms of Jack symmetric polynomial
  • Characterization of simple highest weight modules
  • Irreducible Virasoro modules from tensor products
  • Irreducible representations of untwisted affine Kac-Moody algebras
  • New irreducible tensor product modules for the Virasoro algebra

Cited by in corpus (3)

  • A family of non-weight modules over the super-Virasoro algebras
  • Non-weight modules over algebras related to the Virasoro algebra
  • On non-weight representations of the N=2 superconformal algebras
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