Semi-Infinite Cohomology of Associative Algebras and Bar Duality

International Mathematics Research Notices

Volumn , Issue 17, 1997, Pages 832-863

  Arkhipov, S M ^a  

^a INDEPENDENT UNIVERSITY OF MOSCOW   (Russian Federation)

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EID: 1842736909     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. S. Arkhipov, Semi-infinite cohomology of quantum groups, preprint q-alg/9601026 (1996), 1-24, to appear in Comm. Math. Phys.
2. A. Beilinson, V. Ginzburg, and V. Schechtman, Koszul duality, J. Geom. Phys. 5 (1988), 317-350.
3. n and problems of linear algebra, Functional Anal. and Appl. 12 (1978), 66-67.
4. B. Feigin, Semi-infinite cohomology of Kac-Moody and Virasoro Lie algebras, Uspekhi Mat. Nauk 39 (1984), 195-196 (in Russian).
5. B. Feigin and E. Frenkel, Semi-infinite Weil complex and the Virasoro algebra, Comm. Math. Phys. 137 (1991), 617-639.
6. S. I. Gelfand and Yu. I. Manin, Methods of Homological Algebra, Nauka, Moscow, 1988 (in Russian).
7. V. Kac, Infinite Dimensional Lie Algebras, Birkhäuser, Boston, 1983.
8. L. Positselsky, Quadratic-linear Koszul duality over a base ring, unpublished.
9. W. Soergel, Characterformeln für Kipp-Moduln über Kac-Moody-Algebren, Represent. Theory 1 (1997), 115-132.
10. A. Voronov, Semi-infinite homological algebra, Invent. Math. 113 (1993), 103-146.