Homologie de l'algèbre quantique des symboles pseudo-différentiels sur le cercle

Marc Wambst

Bulletin de la Société Mathématique de France (1996)

  • Volume: 124, Issue: 3, page 523-544
  • ISSN: 0037-9484

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Wambst, Marc. "Homologie de l'algèbre quantique des symboles pseudo-différentiels sur le cercle." Bulletin de la Société Mathématique de France 124.3 (1996): 523-544. <http://eudml.org/doc/87749>.

@article{Wambst1996,
author = {Wambst, Marc},
journal = {Bulletin de la Société Mathématique de France},
keywords = {Koszul complexes; Hochschild complex; de Rham complexes; pseudo-differential symbols; circle; cyclic homology},
language = {fre},
number = {3},
pages = {523-544},
publisher = {Société mathématique de France},
title = {Homologie de l'algèbre quantique des symboles pseudo-différentiels sur le cercle},
url = {http://eudml.org/doc/87749},
volume = {124},
year = {1996},
}

TY - JOUR
AU - Wambst, Marc
TI - Homologie de l'algèbre quantique des symboles pseudo-différentiels sur le cercle
JO - Bulletin de la Société Mathématique de France
PY - 1996
PB - Société mathématique de France
VL - 124
IS - 3
SP - 523
EP - 544
LA - fre
KW - Koszul complexes; Hochschild complex; de Rham complexes; pseudo-differential symbols; circle; cyclic homology
UR - http://eudml.org/doc/87749
ER -

References

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  1. [B-G] BRYLINSKI (J.-L.), GETZLER (E.). — The Homology of Algebras of Pseudodifferential Symbols and the Noncommutative Residue, K-Theory, t. 1, 1987, p. 385-403. Zbl0646.58026MR89j:58135
  2. [E-M1] EILENBERG (S.), MOORE (J.C.). — Limits and Spectral Sequences, Topology, t. 1, 1961, p. 1-23. Zbl0104.39603MR26 #6229
  3. [E-M2] EILENBERG (S.), MOORE (J.C.). — Foundations of Relative Homological Algebra, Mem. Amer. Math. Soc., t. 56, 1965. Zbl0129.01101MR31 #2294
  4. [G] GROTHENDIECK (A.). — Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc., t. 16, 1955. Zbl0064.35501MR17,763c
  5. [H-M] HUSSEMÖLLER (D.), MOORE (J.C.). — Differential Graded Homological Algebra of Several Variables, Sympos. Math., t. IV, 1970, p. 397-429. Zbl0249.18024MR46 #9143
  6. [Kh-Kr] KHESIN (B.), KRAVCHENKO (O.). — Central Extension of the Algebra of Pseudodifferential Symbols, Funktsional. Anal. i Prilozhen, t. 25, 2, 1991, p. 83-85 ; traduction anglaise : Functional Anal. Appl., t. 25, 1991, p. 152-154. Zbl0729.35154MR93b:58147
  7. [K] KASSEL (C.). — Cyclic Homology of Differential Operators, the Virasoro Algebra and a q-Analogue, Comm. Math. Phys., t. 146, 1992, p. 343-356. Zbl0761.17020MR93g:17040
  8. [Kh-L-R] KHESIN (B.), LYUBASHENKO (V.), ROGER (C.). — Extensions and Contractions of the Lie Algebra of q-Pseudodifferential Symbols, preprint I.H.E.S., 1993. 
  9. [Kh-Z1] KHESIN (B.), ZAKHAREVICH (I.). — Poisson-Lie Group of Pseudo-differential Symbols and Fractional KP-KdV hierarchies, C. R. Acad. Sci. Paris, t. 316, 1993, p. 621-626. Zbl0771.35056MR94c:58087
  10. [Kh-Z2] KHESIN (B.), ZAKHAREVICH (I.). — Poisson-Lie Group of Pseudo-differential Symbols, Comm. Math. Phys., t. 171, 1995, p. 475-530. Zbl0838.58040MR96i:58077
  11. [S] SEIBT (P.). — Local Cyclic Homology, K-theory, t. 4, 1990, p. 143-155. Zbl0718.18008MR91k:19004
  12. [W1] WAMBST (M.). — Complexes de Koszul quantiques, Ann. Inst. Fourier (Grenoble), t. 43, 1993, p. 1089-1156. Zbl0810.16010MR95a:17023
  13. [W2] WAMBST (M.). — Hochschild and Cyclic Homology of the Multiparametric Quantum Torus, J. Pure Appl. Algebra (à paraître), 1996. Zbl0881.18014

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