Around heat decay on forms and relations of nilpotent Lie groups
Séminaire de théorie spectrale et géométrie, Tome 19 (2000-2001), pp. 123-164. 
@article{TSG_2000-2001__19__123_0,
     author = {Rumin, Michel},
     title = {Around heat decay on forms and relations of nilpotent {Lie} groups},
     journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie},
     pages = {123--164},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {19},
     year = {2000-2001},
     mrnumber = {1909080},
     zbl = {1035.58021},
     language = {en},
     url = {http://archive.numdam.org/item/TSG_2000-2001__19__123_0/}
}
TY  - JOUR
AU  - Rumin, Michel
TI  - Around heat decay on forms and relations of nilpotent Lie groups
JO  - Séminaire de théorie spectrale et géométrie
PY  - 2000-2001
SP  - 123
EP  - 164
VL  - 19
PB  - Institut Fourier
PP  - Grenoble
UR  - http://archive.numdam.org/item/TSG_2000-2001__19__123_0/
LA  - en
ID  - TSG_2000-2001__19__123_0
ER  - 
%0 Journal Article
%A Rumin, Michel
%T Around heat decay on forms and relations of nilpotent Lie groups
%J Séminaire de théorie spectrale et géométrie
%D 2000-2001
%P 123-164
%V 19
%I Institut Fourier
%C Grenoble
%U http://archive.numdam.org/item/TSG_2000-2001__19__123_0/
%G en
%F TSG_2000-2001__19__123_0
Rumin, Michel. Around heat decay on forms and relations of nilpotent Lie groups. Séminaire de théorie spectrale et géométrie, Tome 19 (2000-2001), pp. 123-164. http://archive.numdam.org/item/TSG_2000-2001__19__123_0/

[1] M.F. Atiyah. Elliptic operators, discrete groups and von Neumann algebras. Astérisque, 32-33 ( 1976), 43-72. | Numdam | MR | Zbl

[2] R. Brooks. The fundamental group and the spectrum of the Laplacian. Comment. Math. Helu, 56 ( 1981), 581-598. | MR | Zbl

[3] James A. Carlson and Domingo Toledo. Quadratic présentations and nilpotent Kahler groups. J. Geom. Anal..5(3):359-377, 1995. | MR | Zbl

[4] William Casselman and M. Scott Osborne. The n-cohomology of representations with an infinitesimal character. Compositio Math.,31 (2):219-227, 1975. | Numdam | MR | Zbl

[5] Shirnping Chen. Examples of n-step nilpotent 1-formal 1-minimal models. C. R.Acad. Sci. Paris Sér. I Math., 321(2):223-228, 1995. | MR | Zbl

[6] Michael Christ, Daryl Geiler, Pawel Gtowacki, and Larry Polin. Pseudodifferential operators on groups with dilations. DukeMath. J., 68(l):31-65, 1992. | Zbl

[7] Michael Cowling, Anthony H. Dooley Adam Koranyi, and Fulvio Ricci, H-type groups and Iwasawa decompositions. Adv. Math., 87(1):1-41, 1991. | Zbl

[8] L. Corwin and E. P. Greenleaf. Representations of nilpotent Lie groups and their applications. Part I. Cambridge University Press, Cambridge, 1990. | Zbl

[9] Ch. Deninger and W. Singhof. On the cohomology of nilpotent Lie algebras. Bull. Soc. Math.France, 116(1):3-14, 1988. | Numdam | Zbl

[10] J. Dixmier. Cohomologie des algèbres de Lie nilpotentes. Acta Sci. Math., 16:246-250. 1955. | Zbl

[11] G. B. Folland. Subelliptic estimates and function spaces on nilpotent Lie groups. Ark. Mat., 13(2): 161-207, 1975. | MR | Zbl

[12] Phillip A. Griffiths and John W. Morgan, Rational homotopy theory and differential forms. Birkhäuser Boston, Mass., 1981. | MR | Zbl

[13] M. Gromov. Carnot-Carathéodory spaces seen from within. In A. Bellaïche and J.-J. Risler, editors, Sub-Riemannian Geometry, volume 144 of Progress in Math, pages 79-323. Birkhäuser 1996. | MR | Zbl

[14] M. Gromov and M.A. Shubin. Von Neumann spectra near zero. Geometrie and Functional Analysis, 1 (4) ( 1991), 375-404. | EuDML | MR | Zbl

[15] M. Gromov and M.A. Shubin. Near-cohomology of Hilbert complexes and topology of non-simply connected manifolds. In Méthodes semi-classiques. Astérisque, 210 ( 1992), 283-294. | Numdam | MR | Zbl

[16] B. Helffer and J. Nourrigat. Caractérisation des opérateurs hypoelliptiques homogènes invariants à gauche sur un groupe de Lie nilpotent gradué. Comm. Partial Differential Equations,4 (8):899-958, 1979. | MR | Zbl

[17] Bernard Helffer and Jean Nourrigat. Hypoellipticité maximale pour des opérateurs polynômes de champs de vecteurs. Birkhäuser Boston Inc., Boston, MA, 1985. | MR | Zbl

[18] Dale Husemoller. Fibre bundies. Springer-Verlag, New York, third edition, 1994. | MR | Zbl

[19] Aroldo Kaplan. On the geometry of groups of Heisenberg type. Bull. London Math. Soc, 15(l):35-42, 1983. | MR | Zbl

[20] John Lott. Heat kernels on covering spaces and topological invariants. J. Differential Geom., 35(2):471-510, 1992. | MR | Zbl

[21] P. Pansu. Introduction to L2 Betti numbers. In Riemannian geometry (Waterloo, ON, 1993), pages 53-86. Amer. Math. Soc, Providence, RI, 1996. | MR | Zbl

[22] Linda Preiss Rothschild and E. M. Stein. Hypoelliptic differential operators and nilpotent groups. Acta Malh., 137(3-4) :247-320, 1976. | MR | Zbl

[23] M. Reed and B. Simon. Methods of Modem Mathematical Physics, volumes 1and 2 : Functional Analysis. Academie Press, 1972. | Zbl

[24] M. Rumin. Un complexe de formes différentielles sur les variétés de contact. C. R.Acad. Sci. ParisSér. I Math., 310(6):401-404, 1990. | MR | Zbl

[25] M. Rumin. Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie groups. C. R. Acad. Sci. Paris Sér. I Math., 329(11):985-990, 1999. | MR | Zbl

[26] Simon Salamon. Riemannian geometry and holonomy groups. Longman Scientific & Technical, Harlow, 1989. | MR | Zbl

[27] N. Th. Varopoulos, L. Saloff-Coste, and T. Coulhon. Analysis and geometry on groups. Cambridge University Press, Cambridge, 1992. | MR