The Lie algebra sl_(2)(C)may be regarded in a natural way as a subalgebra of the infinite-dimensional Virasoro Lie algebra,so it is natural to consider connections between the representation theory of the two algebras...The Lie algebra sl_(2)(C)may be regarded in a natural way as a subalgebra of the infinite-dimensional Virasoro Lie algebra,so it is natural to consider connections between the representation theory of the two algebras.In this paper,we explore the restriction to sl_(2)(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.展开更多
文摘The Lie algebra sl_(2)(C)may be regarded in a natural way as a subalgebra of the infinite-dimensional Virasoro Lie algebra,so it is natural to consider connections between the representation theory of the two algebras.In this paper,we explore the restriction to sl_(2)(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.
