1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.RT2004
Jet modules
Yuly Billig
In this paper we classify indecomposable modules for the Lie algebra of vector fields on a torus that admit a compatible action of the algebra of functions. An important family of…
math.RT2003
Weight modules over exp-polynomial Lie algebras
Yuly Billig, Kaiming Zhao
In this paper, we generalize a result by Berman and Billig on weight modules over Lie algebras with polynomial multiplication. More precisely, we show that a highest weight module…
math.GR2003★ 1 cited
Abelian Extensions of the Group of Diffeomorphisms of a Torus
Yuly Billig
In this paper we construct abelian extensions of the group of diffeomorphisms of a torus. We consider the jacobian map, which is a crossed homomorphism from the group of diffeomorp…