Bulletin of the American Mathematical Society

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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.

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, DOI 10.1073/pnas.87.21.8583

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, DOI 10.1090/conm/105/1047281

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, DOI 10.1143/PTPS.102.219

V. G. Kac, Lie superalgebras, Advances in Math. 26 (1977), no. 1, 8–96. MR 486011, DOI 10.1016/0001-8708(77)90017-2

Yu. I. Manin, Neveu-Schwarz sheaves and differential equations for Mumford superforms, J. Geom. Phys. 5 (1988), no. 2, 161–181. MR 1029425, DOI 10.1016/0393-0440(88)90002-2

A. A. Beĭlinson and V. V. Schechtman, Determinant bundles and Virasoro algebras, Comm. Math. Phys. 118 (1988), no. 4, 651–701. MR 962493

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

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

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.

Yu. I. Manin, Multiparametric quantum deformation of the general linear supergroup, Comm. Math. Phys. 123 (1989), no. 1, 163–175. MR 1002037

[1]

A. Rosenberg, The left spectrum, the Levitzki radical and noncommutative schemes, Proc. Nat. Acad. Sci. U.S.A. 87 (1990), 8583-8586. MR 1076775 (92d:14001)

[2]

M. Rieffel, Non-commutative tori--a case study of noncommutative differentiable manifolds, Contemp. Math. (J. Kaminker, ed.), Geometric and Topological Invariants of Elliptic Operators, vol. 105, 1990, pp. 191-211. MR 1047281 (91d:58012)

[3]

Yu. Manin, Quantized theta-functions, RIMS, preprint (1991). MR 1182167 (93i:14003)

[4]

V. Kac, Lie superalgebras, Adv. in Math 26 (1977), 8-96. MR 0486011 (58:5803)

[5]

Yu. Manin, Neveu-Schwarz sheaves and differential equations for Mumford superforms, J. Geom. Phys. 5 (1988), 161-181. MR 1029425 (91b:32036)

[6]

A. Beilinson and V. Schechtman, Determinant bundles and Virasoro algebras, Comm. Math. Phys. 118 (1988), 651-690. MR 962493 (90m:32048)

[7]

Yu. Manin and A. Voronov, Supercell decompositions of flag superspaces, Itogi Nauki i Tekhniki, vol. 32, Akad. Nauk SSSR, Moscow, 1988, pp. 27-70. (Russian) MR 957751 (90e:32037)

[8]

A. Voronov, Relative position of the Schubert supervarieties and their desingularization, Funktsional Anal. i Prilozhen 21 (1987), 72-73. (Russian) MR 888019 (88g:32052)

[9]

Yu. Manin, Some remarks on Koszul algebras and quantum groups, Ann. Inst. Fourier (Grenoble) 37 (1987), 191-205. MR 927397 (89e:16022)

[10]

-, Quantum groups and non-commutative geometry, Les Publ. du Centre de Rech. Math., Université de Montréal, 1988.

[11]

-, Multiparametric quantum deformation of the general linear supergroup, Comm. Math. Phys. 123 (1989), 123-135. MR 1002037 (90h:17018)