The -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
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topCasselman, William, and Osborne, M. Scott. "The $n$-cohomology of representations with an infinitesimal character." Compositio Mathematica 31.2 (1975): 219-227. <http://eudml.org/doc/89271>.
@article{Casselman1975,
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 = {http://eudml.org/doc/89271},
volume = {31},
year = {1975},
}
TY - JOUR
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 - http://eudml.org/doc/89271
ER -
References
top- [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] 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] W. Casselman: Some general results on admissible representations of p-adic groups. (to appear)
- [4] J. Humphreys: Introduction to Lie algebras and representation theory. New York: Springer, 1972. Zbl0254.17004MR323842
- [5] B. Kostant: Lie algebra cohomology and the generalized Borel-Weil theorem. Ann. of Math.74 (1961) 329-387. Zbl0134.03501MR142696
- [6] B. Kostant: Lie group representations on polynomial rings. Amer. J. of Math.85 (1963) 327-404. Zbl0124.26802MR158024
- [7] M.S. Osborne: Yale University Ph.D. thesis. (1973).
- [8] G. Warner: Harmonic analysis on semi-simple groups I. New York, Springer, 1972. Zbl0265.22020
Citations in EuDML Documents
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- Nicolas Bergeron, Laurent Clozel, Exponents in Archimedean Arthur packets
- Michel Rumin, Around heat decay on forms and relations of nilpotent Lie groups
- Henryk Hecht, Joseph L. Taylor, A comparison theorem for -homology
- David A. Vogan, Gregg J. Zuckerman, Unitary representations with non-zero cohomology
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