For $\mathfrak{g}$ a semisimple Lie algebra and $K$ a suitable algebraic? group, write $(\mathfrak{g}, K)Mod$ for the category of Harish-Chandra modules over $(\mathfrak{g}, K)$. Then for $i \colon T \hookrightarrow K$ an algebraic subgroup there is the corresponding forgetful functor$i^* \colon (\mathfrak{g}, K)Mod \to (\mathfrak{g}, T)Mod$ which restricts the representation along the inclusion.

Dragan Miličić, Pavle Pandžić, Equivariant derived categories, Zuckerman functors and localization, from Geometry and Representation Theory of real and p-adic Lie Groups , J. Tirao, D. Vogan, J.A. Wolf, editors, Progress in Mathematics 158, Birkhäuser, Boston, 1997, 209-242, pdf

Created on November 25, 2012 at 04:37:19.
See the history of this page for a list of all contributions to it.