2020/03/02 by Matthew Ondrus, Ondrus, Matthew, Emilie Wiesner +1
Mathematics · #17B10 #17B65 (secondary) #17B68 (primary) #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2003.00988
openalex publication_date 2020/03/02 · openalex created_date 2021/06/07 · openalex updated_date 2026/07/28
The Lie algebra sl2 ( ℂ ) may be regarded in a natural way as a subalgebra of the infinite-dimensional Virasoro Lie algebra, and this suggests there may be connections between the representation theory of the two algebras. In this paper, we explore the restriction to sl2 ( ℂ ) of certain induced modules for the Virasoro algebra. Specifically, we consider Virasoro modules induced from so-called polynomial subalgebras, and we show that the restriction of these modules results in twisted versions of familiar modules such as Verma modules and Whittaker modules.