On the cohomology of nilpotent Lie algebras

Ch. Deninger; W. Singhof

Bulletin de la Société Mathématique de France (1988)

  • Volume: 116, Issue: 1, page 3-14
  • ISSN: 0037-9484

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Deninger, Ch., and Singhof, W.. "On the cohomology of nilpotent Lie algebras." Bulletin de la Société Mathématique de France 116.1 (1988): 3-14. <http://eudml.org/doc/87547>.

@article{Deninger1988,
author = {Deninger, Ch., Singhof, W.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {lower bounds; dimension of total cohomology; nilpotent Lie algebras; graded Lie algebras; Morava stabilizer algebras},
language = {eng},
number = {1},
pages = {3-14},
publisher = {Société mathématique de France},
title = {On the cohomology of nilpotent Lie algebras},
url = {http://eudml.org/doc/87547},
volume = {116},
year = {1988},
}

TY - JOUR
AU - Deninger, Ch.
AU - Singhof, W.
TI - On the cohomology of nilpotent Lie algebras
JO - Bulletin de la Société Mathématique de France
PY - 1988
PB - Société mathématique de France
VL - 116
IS - 1
SP - 3
EP - 14
LA - eng
KW - lower bounds; dimension of total cohomology; nilpotent Lie algebras; graded Lie algebras; Morava stabilizer algebras
UR - http://eudml.org/doc/87547
ER -

References

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  2. [2] BREDON (G.E.) and KOSINSKI (A.). — Vector fields on л-manifolds, Ann. of Math., t. 84, 1966, p. 85-90. Zbl0151.31701MR34 #823
  3. [3] CASSELMAN (W.) and OSBORNE (M.S.). — The n-cohomology of representations with an infinitesimal character, Comp. Math., t. 31, 1975, p. 219-227. Zbl0343.17006MR53 #566
  4. [4] DIXMIER (J.). — Cohomologie des algèbres de Lie nilpotentes, Acta Sci. Math. Szeged, t. 16, 1955, p. 246-250. Zbl0066.02403MR17,645b
  5. [5] DIXMIER (J.). — Sur les représentations unitaires des groupes de Lie nilpotents III, Canad. J. Math., t. 10, 1958, p. 321-348. Zbl0100.32401MR20 #1929
  6. [6] DWYER (W.G.). — Homology of integral upper-triangular matrices, Proc. Amer. Math. Soc., t. 94, 1985, p. 523-528. Zbl0568.55018MR87i:55037
  7. [7] FAVRE (G.). — Une algèbre de Lie caractéristiquement nilpotente de dimension 7, C. R. Acad. Sci. Paris Sér. A-B Math., t. 274, 1972, p. 1338-1339. Zbl0236.17003MR45 #3495
  8. [8] HALPERIN (S.). — Rational homotopy and torus actions, Aspects of Topology, [I.M. James and E.H. Kronheimer, ed.], p. 293-306. — Cambridge, 1985 (London Math. Soc. Lecture Notes, 93). Zbl0562.57015MR87d:55001
  9. [9] HARTSHORNE (R.). — Algebraic Geometry. — Berlin-Heidelberg-New-York, 1977. Zbl0367.14001MR57 #3116
  10. [10] LUSZTIG (G.) and MILNOR (J.) and PETERSON (F.). — Semicharacteristics and cobordism., Topology, t. 8, 1969, p. 357-359. Zbl0165.26302MR39 #7612
  11. [11] MAL'CEV (A.I.). — On a class of homogeneous spaces, Amer. Math. Soc. Transl. Ser. 1, t. 9, 1962, p. 276-307. 
  12. [12] MORAVA (J.). — Noetherian localisations of categories of cobordism comodules, Ann. of Math., t. 121, 1985, p. 1-39. Zbl0572.55005MR86g:55004
  13. [13] RAVENEL (D.C.). — The structure of Morava stabilizer algebras, Invent. Math., t. 37, 1976, p. 109-120. Zbl0317.57019MR54 #8632
  14. [14] RAVENEL (D.C.). — The cohomology of the Morava stabilizer algebras, Math. Z, t. 152, 1977, p. 287-297. Zbl0338.55018MR55 #4170

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