Yang-Mills algebra

Letters in Mathematical Physics

Volumn 61, Issue 2, 2002, Pages 149-158

  Connes, Alain ^a   Dubois Violette, Michel ^b  

^a l'alimentation et l'Environnement   (France)

^b INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

Author keywords

Duality; Homogeneous algebras; Koszul algebras; N complexes; Yang Mills algebra

Indexed keywords

EID: 0043205084     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1020733628744     Document Type: Article

References (24)

1. Artin, M. and Schelter W. F.: Graded algebras of global dimension 3. Adv. Math. 66 (1987), 171-216.
2. Artin, M., Tate, J. and Van den Bergh, M.: Some algebras associated to automorphisms of elliptic curves, In: P. Cartier et al. (eds), The Grothendieck Festschrift, Vol. I, Birkhäuser, 1990.
3. Berger, R.: Koszulity for nonquadratic algebras. J. Algebra 239 (2001), 705-734. Erratum J. Algebra.
4. Berger, R.: La catégorie graduée, Preprint, 2002.
5. Berger, R., Dubois-Violette, M. and Wambst, M.: Homogeneous algebras, math.QA/0203035. To appear in J. Algebra.
6. Bourbaki, N.: Groupes et algèbres de de Lie, Chapitres 2 et 3, Hermann, Paris, 1972.
7. Connes, A.: Non-commutative differential geometry, Publ. IHES 62 (1986), 257-360.
8. Connes, A.: Non-commutative Geometry, Academic Press, New York, 1994.
9. Connes, A. and Dubois-Violette, M.: Noncommutative finite-dimensional manifolds I. Spherical manifolds and related examples, math.QA/0107070. To appear in Comm. Math. Phys.
10. N = 0: Generalized homology, K-Theory 14 (1998), 371-404.
11. Dubois-Violette, M. and Henneaux, M.: Tensor fields of mixed Young symmetry type and N-complexes, Comm. Math. Phys. 226 (2002), 393-418.
12. Dubois-Violette, M. and Kerner, R.: Universal q-differential calculus and q-analog of homological algebra, Acta Math. Univ. Comenian. 65 (1996), 175-188.
13. Dubois-Violette, M. and Popov, T.: Homogeneous algebras, statistics and combinatorics, Lett. Math. Phys. 61 (2002), 159-170.
14. Dubois-Violette, M. and I. T. Todorov: Generalized homology for the zero mode of the SU(2) WZNW model, Lett. Math. Phys. 48 (1999), 323-338.
15. Kapranov, M. M.: On the q-analog of homological algebra, Preprint Cornell University 1991; q-alg/9611005.
16. Kassel, C. and Wambst, M.: Algèbre homologique des N-complexes et homologies de Hochschild aux racines de l'unité, Publ. RIMS, Kyoto Univ. 34 (1998), 91-114.
17. Kempf, G. R.: Some wonderful rings in algebraic geometry, J. Algebra 134 (1990), 222-224.
18. Manin, Yu. I.: Quantum groups and non-commutative geometry, CRM Université de Montréal, 1988.
19. Mayer, M.: A new homology theory I, II, Ann. of Math. 43 (1942), 370-380, 594-605.
20. Nekrasov, N.: Lectures on open strings and noncommutative gauge theories, hep-th/0203109.
21. Priddy, S. B.: Koszul resolutions, Trans. Amer. Math. Soc. 152 (1970), 39-60.
22. Smith, S. P. and Stafford, J. T.: Regularity of the four dimensional Sklyanin algebra, Compositio Math. 83 (1992), 259-289.
23. Tate, J. and Van den Bergh, M.: Homological properties of Sklyanin algebras, Invent. Math. 124 (1996), 619-647.
24. Wambst, M.: Homologie cyclique et homologie simpliciale aux racines de l'unité, K-Theory 23 (2001), 377-397.