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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Full text of review: PDF
Book Information:

Author: Yuri I. Manin
Title: Topics in non-commutative geometry
Additional book information: M. B. Porter Lecture Series, Princeton University Press, Princeton, New Jersey, 1991, 164 pp. US$35.00. ISBN 0-691-08588-9.

References [Enhancements On Off] (What's this?)

  • [1] Alexander L. Rosenberg, The left spectrum, the Levitzki radical, and noncommutative schemes, Proc. Nat. Acad. Sci. U.S.A. 87 (1990), no. 21, 8583–8586. MR 1076775, 10.1073/pnas.87.21.8583
  • [2] Marc A. Rieffel, Noncommutative tori—a case study of noncommutative differentiable manifolds, Geometric and topological invariants of elliptic operators (Brunswick, ME, 1988) Contemp. Math., vol. 105, Amer. Math. Soc., Providence, RI, 1990, pp. 191–211. MR 1047281, 10.1090/conm/105/1047281
  • [3] Yu. I. Manin, Quantized theta-functions, Progr. Theoret. Phys. Suppl. 102 (1990), 219–228 (1991). Common trends in mathematics and quantum field theories (Kyoto, 1990). MR 1182167, 10.1143/PTPS.102.219
  • [4] V. G. Kac, Lie superalgebras, Advances in Math. 26 (1977), no. 1, 8–96. MR 0486011
  • [5] Yu. I. Manin, Neveu-Schwarz sheaves and differential equations for Mumford superforms, J. Geom. Phys. 5 (1988), no. 2, 161–181. MR 1029425, 10.1016/0393-0440(88)90002-2
  • [6] A. A. Beĭlinson and V. V. Schechtman, Determinant bundles and Virasoro algebras, Comm. Math. Phys. 118 (1988), no. 4, 651–701. MR 962493
  • [7] Alexander A. Voronov and Yu. I. Manin, Supercellular partitions of flag superspaces, Current problems in mathematics. Newest results, Vol. 32, Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1988, pp. 27–70 (Russian). Translated in J. Soviet Math. 51 (1990), no. 1, 2083–2108. MR 957751
  • [8] Alexander A. Voronov, The relative disposition of Schubert supervarieties and the resolution of their singularities, Funktsional. Anal. i Prilozhen. 21 (1987), no. 1, 72–73 (Russian). MR 888019
  • [9] Yu. I. Manin, Some remarks on Koszul algebras and quantum groups, Ann. Inst. Fourier (Grenoble) 37 (1987), no. 4, 191–205 (English, with French summary). MR 927397
  • [10] -, Quantum groups and non-commutative geometry, Les Publ. du Centre de Rech. Math., Université de Montréal, 1988.
  • [11] Yu. I. Manin, Multiparametric quantum deformation of the general linear supergroup, Comm. Math. Phys. 123 (1989), no. 1, 163–175. MR 1002037

Review Information:

Reviewer: Ivan Penkov
Journal: Bull. Amer. Math. Soc. 29 (1993), 106-111
DOI: http://dx.doi.org/10.1090/S0273-0979-1993-00391-4