Dg analogues of the Zuckerman functors and the dual Zuckerman functors I

A categorification of the Temperley-Lieb algebra and Schur quotients of U(sl2) via projective and Zuckerman functors

2.1. U̇(sl2) and its representations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 204 2.1.1. Algebra U̇(sl2) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 204 2.1.2. Representations of U̇(sl2) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 206 2.2. Temperley-Lieb algebra . . . . . . . . ...

Brian Zuckerman

On the Smoothness of Functors

In this paper we will try to introduce a good smoothness notion for a functor. We consider properties and conditions from geometry and algebraic geometry which we expect a smooth functor should has.

Notes on the Knapp-Zuckerman theory

The point of these notes is to redefine some of their concepts in terms of the L-group. I observe, however, that it is best and indeed essential for further applications that their results be formulated for reductive groups rather than just for simply-connected semi-simple groups. I use the notation of CIRRAG (On the classification of irreducible representations of real algebraic groups) modifi...

Solly Zuckerman, Baron Zuckerman, of Burnham Thorpe. O.M.,K.C.B. - 30 May 1904--1 April 1993.