The n -cohomology of representations with an infinitesimal character

William Casselman; M. Scott Osborne

Compositio Mathematica (1975)

  • Volume: 31, Issue: 2, page 219-227
  • ISSN: 0010-437X

How to cite


Casselman, William, and Osborne, M. Scott. "The $n$-cohomology of representations with an infinitesimal character." Compositio Mathematica 31.2 (1975): 219-227. <>.

author = {Casselman, William, Osborne, M. Scott},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {219-227},
publisher = {Noordhoff International Publishing},
title = {The $n$-cohomology of representations with an infinitesimal character},
url = {},
volume = {31},
year = {1975},

AU - Casselman, William
AU - Osborne, M. Scott
TI - The $n$-cohomology of representations with an infinitesimal character
JO - Compositio Mathematica
PY - 1975
PB - Noordhoff International Publishing
VL - 31
IS - 2
SP - 219
EP - 227
LA - eng
UR -
ER -


  1. [1] F. Aribaud: Une nouvelle demonstration d'un théorème de R. Bott et B. Kostant. Bull. Math. Soc. France95 (1967) 205-242. Zbl0155.06901MR236311
  2. [2] P. Cartier: Remarks on 'Lie algebra cohomology and the generalized Borel-Weil theorem' by B. Kostant. Ann. of Math.74 (1961) 388-390. Zbl0134.03502MR142698
  3. [3] W. Casselman: Some general results on admissible representations of p-adic groups. (to appear) 
  4. [4] J. Humphreys: Introduction to Lie algebras and representation theory. New York: Springer, 1972. Zbl0254.17004MR323842
  5. [5] B. Kostant: Lie algebra cohomology and the generalized Borel-Weil theorem. Ann. of Math.74 (1961) 329-387. Zbl0134.03501MR142696
  6. [6] B. Kostant: Lie group representations on polynomial rings. Amer. J. of Math.85 (1963) 327-404. Zbl0124.26802MR158024
  7. [7] M.S. Osborne: Yale University Ph.D. thesis. (1973). 
  8. [8] G. Warner: Harmonic analysis on semi-simple groups I. New York, Springer, 1972. Zbl0265.22020

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