Borcherds, Richard E. Problems in moonshine. (English) Zbl 1077.11503 Yang, Lo (ed.) et al., First international congress of Chinese mathematicians. Proceedings of the ICCM ’98, Beijing, China, December 12–16, 1998. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2652-2/pbk). AMS/IP Stud. Adv. Math. 20, 3-10 (2001). Reviewer: Olaf Ninnemann (Berlin) MSC: 11F22 20D08 17B67 17B69 20F55 PDFBibTeX XMLCite \textit{R. E. Borcherds}, AMS/IP Stud. Adv. Math. 20, 3--10 (2001; Zbl 1077.11503)
Borcherds, Richard E. Quantum vertex algebras. (English) Zbl 1018.17018 Maruyama, Masaki (ed.) et al., Taniguchi conference on mathematics Nara ’98. Papers from the conference, Nara, Japan, December 15-20, 1998. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 31, 51-74 (2001). Reviewer: Xi Changchang (Beijing) MSC: 17B69 18A25 PDFBibTeX XMLCite \textit{R. E. Borcherds}, Adv. Stud. Pure Math. 31, 51--74 (2001; Zbl 1018.17018) Full Text: arXiv
Borcherds, Richard E. The fake monster formal group. (English) Zbl 1018.17019 Duke Math. J. 100, No. 1, 139-165 (1999). Reviewer: O.Ninnemann (Berlin) MSC: 17B69 11F22 17B67 17B35 20D08 PDFBibTeX XMLCite \textit{R. E. Borcherds}, Duke Math. J. 100, No. 1, 139--165 (1999; Zbl 1018.17019) Full Text: DOI arXiv
Borcherds, Richard E. What is moonshine. (English) Zbl 1003.11017 Doc. Math. Extra Vol. ICM Berlin 1998, Vol. I, 607-616 (1998). Reviewer: O.Ninnemann (Berlin) MSC: 11F22 17-02 11-02 17B69 17B67 20D08 PDFBibTeX XMLCite \textit{R. E. Borcherds}, Doc. Math. Extra Vol., 607--616 (1998; Zbl 1003.11017) Full Text: arXiv EMIS
Borcherds, Richard E. Modular moonshine. III. (English) Zbl 1047.17014 Duke Math. J. 93, No. 1, 129-154 (1998). Reviewer: Olaf Ninnemann (Berlin) MSC: 17B69 11F22 20D08 PDFBibTeX XMLCite \textit{R. E. Borcherds}, Duke Math. J. 93, No. 1, 129--154 (1998; Zbl 1047.17014) Full Text: DOI arXiv
Borcherds, Richard E. Vertex algebras. (English) Zbl 0956.17019 Kashiwara, Masaki (ed.) et al., Topological field theory, primitive forms and related topics. Proceedings of the 38th Taniguchi symposium, Kyoto, Japan, December 9-13, 1996 and the RIMS symposium with the same title, Kyoto, Japan, December 16-19, 1996. Boston, MA: Birkhäuser. Prog. Math. 160, 35-77 (1998). Reviewer: Dražen Adamović (Zagreb) MSC: 17B69 81R10 81T40 PDFBibTeX XMLCite \textit{R. E. Borcherds}, Prog. Math. 160, 35--77 (1998; Zbl 0956.17019) Full Text: arXiv
Borcherds, Richard E. Automorphic forms with singularities on Grassmannians. (English) Zbl 0919.11036 Invent. Math. 132, No. 3, 491-562 (1998). Reviewer: Min Ho Lee (Cedar Falls) MSC: 11F55 17B67 11F22 11F32 14M15 PDFBibTeX XMLCite \textit{R. E. Borcherds}, Invent. Math. 132, No. 3, 491--562 (1998; Zbl 0919.11036) Full Text: DOI arXiv
Borcherds, Richard E. Automorphic forms and Lie algebras. (English) Zbl 0923.17024 Bott, Raoul (ed.) et al., Current developments in mathematics, 1996. Proceedings of the joint seminar, Cambridge, MA, USA 1996. Cambridge, MA: International Press. 1-36 (1997). Reviewer: Min Ho Lee (Cedar Falls) MSC: 17B67 11F22 20D08 PDFBibTeX XMLCite \textit{R. E. Borcherds}, in: Current developments in mathematics, 1996. Proceedings of the joint seminar, Cambridge, MA, USA 1996. Cambridge, MA: International Press. 1--36 (1997; Zbl 0923.17024)
Borcherds, Richard E. The moduli space of Enriques surfaces and the fake monster Lie superalgebra. (English) Zbl 0886.14015 Topology 35, No. 3, 699-710 (1996). Reviewer: G.Ottaviani (Firenze) MSC: 14J28 17B70 14J10 11F22 PDFBibTeX XMLCite \textit{R. E. Borcherds}, Topology 35, No. 3, 699--710 (1996; Zbl 0886.14015) Full Text: DOI
Borcherds, Richard E.; Ryba, Alex J. E. Modular moonshine. II. (English) Zbl 1032.17049 Duke Math. J. 83, No. 2, 435-459 (1996). MSC: 17B69 11F22 20D08 17B67 20C20 20C34 PDFBibTeX XMLCite \textit{R. E. Borcherds} and \textit{A. J. E. Ryba}, Duke Math. J. 83, No. 2, 435--459 (1996; Zbl 1032.17049) Full Text: DOI
Borcherds, Richard E. Automorphic forms on \(O_{s+2,2}(\mathbb{R})^ +\) and generalized Kac-Moody algebras. (English) Zbl 0862.11034 Chatterji, S. D. (ed.), Proceedings of the international congress of mathematicians, ICM ’94, August 3-11, 1994, Zürich, Switzerland. Vol. II. Basel: Birkhäuser. 744-752 (1995). MSC: 11F22 17B67 11F11 11F12 PDFBibTeX XMLCite \textit{R. E. Borcherds}, in: Proceedings of the international congress of mathematicians, ICM '94, August 3-11, 1994, Zürich, Switzerland. Vol. II. Basel: Birkhäuser. 744--752 (1995; Zbl 0862.11034)
Borcherds, Richard E. A characterization of generalized Kac-Moody algebras. (English) Zbl 0828.17031 J. Algebra 174, No. 3, 1073-1079 (1995). Reviewer: A.N.Pressley (London) MSC: 17B67 PDFBibTeX XMLCite \textit{R. E. Borcherds}, J. Algebra 174, No. 3, 1073--1079 (1995; Zbl 0828.17031) Full Text: DOI
Borcherds, Richard E. Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products. (English) Zbl 0932.11028 Invent. Math. 120, No. 1, 161-213 (1995). Reviewer: O.Ninnemann (Berlin) MSC: 11F22 17B67 11F12 11F50 PDFBibTeX XMLCite \textit{R. E. Borcherds}, Invent. Math. 120, No. 1, 161--213 (1995; Zbl 0932.11028) Full Text: DOI EuDML Backlinks: MO
Borcherds, Richard E. Sporadic groups and string theory. (English) Zbl 0828.17030 Joseph, A. (ed.) et al., First European congress of mathematics (ECM), Paris, France, July 6-10, 1992. Volume I: Invited lectures (Part 1). Basel: Birkhäuser. Prog. Math. 119, 411-421 (1994). Reviewer: A.N.Pressley (London) MSC: 17B67 20D08 81T30 11F22 11F11 PDFBibTeX XMLCite \textit{R. E. Borcherds}, Prog. Math. 119, 411--421 (1994; Zbl 0828.17030)
Borcherds, Richard E. Introduction to the monster Lie algebra. (English) Zbl 0839.11018 Liebeck, Martin (ed.) et al., Groups, combinatorics and geometry. Proceedings of the L.M.S. Durham symposium, held July 5-15, 1990 in Durham, UK. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 165, 99-107 (1992). MSC: 11F22 20D08 17B67 PDFBibTeX XMLCite \textit{R. E. Borcherds}, Lond. Math. Soc. Lect. Note Ser. 165, 99--107 (1992; Zbl 0839.11018)
Borcherds, Richard E. Monstrous moonshine and monstrous Lie superalgebras. (English) Zbl 0799.17014 Invent. Math. 109, No. 2, 405-444 (1992). Reviewer: J.F.Hurley (Storrs) MSC: 17B67 20D08 17B70 17B68 17B81 81R10 22E67 PDFBibTeX XMLCite \textit{R. E. Borcherds}, Invent. Math. 109, No. 2, 405--444 (1992; Zbl 0799.17014) Full Text: DOI EuDML
Borcherds, Richard E. Central extensions of generalized Kac-Moody algebras. (English) Zbl 0776.17021 J. Algebra 140, No. 2, 330-335 (1991). MSC: 17B67 17B70 PDFBibTeX XMLCite \textit{R. E. Borcherds}, J. Algebra 140, No. 2, 330--335 (1991; Zbl 0776.17021) Full Text: DOI
Borcherds, Richard E. The monster Lie algebra. (English) Zbl 0734.17010 Adv. Math. 83, No. 1, 30-47 (1990). Reviewer: N.Kawamoto (Kure) MSC: 17B67 20D08 17B65 PDFBibTeX XMLCite \textit{R. E. Borcherds}, Adv. Math. 83, No. 1, 30--47 (1990; Zbl 0734.17010) Full Text: DOI
Borcherds, Richard Generalized Kac-Moody algebras. (English) Zbl 0644.17010 J. Algebra 115, No. 2, 501-512 (1988). Reviewer: E.Abe MSC: 17B65 17B67 PDFBibTeX XMLCite \textit{R. Borcherds}, J. Algebra 115, No. 2, 501--512 (1988; Zbl 0644.17010) Full Text: DOI
Borcherds, Richard E. Vertex algebras, Kac-Moody algebras, and the monster. (English) Zbl 0613.17012 Proc. Natl. Acad. Sci. USA 84, 3068-3071 (1986). Reviewer: Hiromichi Yamada (Tokyo) MSC: 17B67 17B69 20D08 PDFBibTeX XMLCite \textit{R. E. Borcherds}, Proc. Natl. Acad. Sci. USA 84, 3068--3071 (1986; Zbl 0613.17012) Full Text: DOI
Borcherds, R. E.; Conway, J. H.; Queen, L.; Sloane, N. J. A. A monster Lie algebra? (English) Zbl 0555.17004 Adv. Math. 53, 75-79 (1984). Reviewer: James F. Hurley MSC: 17B65 20D08 05B35 22E65 11H31 PDFBibTeX XMLCite \textit{R. E. Borcherds} et al., Adv. Math. 53, 75--79 (1984; Zbl 0555.17004) Full Text: DOI