1 citations · 2 across the 3 of their papers we have counts for
5 papers
Generalized Harish-Chandra modules with generic minimal -type
Ivan Penkov, Gregg Zuckerman
We make a first step towards a classification of simple generalized Harish-Chandra modules which are not Harish-Chandra modules or weight modules of finite type. For an arbitrary a…
Small semisimple subalgebras of semisimple Lie algebras
Jeb F. Willenbring, Gregg Zuckerman
The main goal of this paper is to prove the following theorem: Let be an -subalgebra of a semisimple Lie algebra , none of whose simple factors is…
Generalized Harish-Chandra Modules: A New Direction
Ivan Penkov, Gregg Zuckerman
Let be a reductive Lie algebra over . We say that a -module is a generalized Harish-Chandra module if, for some subalgebra ,…
The outer derivation of a complex Poisson manifold
Jean-Luc Brylinski, Gregg Zuckerman
We introduce a canonical outer vector field on a Poisson manifold, also due independently to A. Weinstein. We view it as a global section of the sheaf of Poisson vector fields modu…
Algebraic and Geometric Structures in String Backgrounds
Bong H. Lian, Gregg J. Zuckerman
We give a brief introduction to the study of the algebraic structures -- and their geometrical interpretations -- which arise in the BRST construction of a conformal string backgro…