109 citations · 149 across the 18 of their papers we have counts for
19 papers
On the existence of infinite-dimensional generalized harish-chandra modules
Ivan Penkov, Gregg Zuckerman
We prove a general existence result for infinite-dimensional admissible (g;k)-modules, where g is a reductive finite-dimensional complex Lie algebra and k is a reductive in g algeb…
On Categories of Admissible -Modules
Ivan Penkov, Vera Serganova, Gregg Zuckerman
Let be a complex finite-dimensional semisimple Lie algebra and be any -subalgebra of . In this paper we prove an earlier…
Algebraic methods in the theory of generalized Harish-Chandra modules
Ivan Penkov, Gregg Zuckerman
This paper is a review of results on generalized Harish-Chandra modules in the framework of cohomological induction. The main results, obtained during the last 10 years, concern th…
On the structure of the fundamental series of generalized Harish-Chandra modules
Ivan Penkov, Gregg Zuckerman
We continue the study of the fundamental series of generalized Harish-Chandra modules initiated in [PZ2]. Generalized Harish-Chandra modules are (g,k)-modules of finite type where…
Mathematical Foundations of Consciousness
Willard L. Miranker, Gregg J. Zuckerman
We employ the Zermelo-Fraenkel Axioms that characterize sets as mathematical primitives. The Anti-foundation Axiom plays a significant role in our development, since among other of…
A construction of generalized Harish-Chandra modules for locally reductive Lie algebras
Ivan Penkov, Gregg Zuckerman
We study cohomological induction for a pair , being an infinite dimensional locally reductive Lie algebra and being of the for…