怪獸與月光

20200715第十八期

悼約翰‧ 康威——我的所思所想

作者:格里斯  Robert Louis Griess, Jr.
譯者:張哲睿
本文預覽

      • 作者簡介
        格里斯是密西根大學的數學教授,研究有限單群(finite simple group)和頂點代數(vertex algebra),並以格里斯代數(Griess algebra)構建了怪獸群(monster group)。
      • 譯者簡介
        張哲睿是新竹交通大學應用數學系大四學生。
      • 延伸閱讀
        https://playgameoflife.com/ 這是生命遊戲網站。
        https://www.youtube.com/playlist?list=PLt5AfwLFPxWIL8XA1npoNAHseSj1y-7V 這是YouTube 的Numerphile 數普教育頻道所有有關康威的鏈結,其中有他自己對關於生命遊戲的看法、怪獸群的通俗簡介,還有他的 Podcast 訪談錄音。
        ◊ 羅勃茲著《天才在遊戲—— 康威的好奇心》(Siobhan Roberts, Genius at Play: The Curious Mind of John Horton Conway, Bloomsbury, 2015)這是康威的訪談傳記。
      • 參考資料
        [1] MR0237634 Conway, J. H. A perfect group of order 8,315,553,613,086,720,000 and the sporadic simple groups. Proc. Nat. Acad. Sci. U.S.A. 61 (1968), 398-400. (Reviewer: J. E. McLaughlin) 20.27[2] MR0248216 Conway, J. H. A group of order 8,315,553,613,086,720,000. Bull. London Math. Soc. 1 (1969), 79-88. (Reviewer: W. J. Wong) 20.29

        [3] MR0782233 Conway, J. H. A simple construction for the Fischer- Griess monster group. Invent. Math. 79 (1985), no. 3, 513-540. (Reviewer: Geoffrey Mason) 20D08

        [4] MR0554399 Conway, J. H.; Norton, S. P. Monstrous moonshine. Bull. London Math. Soc. 11 (1979), no. 3, 308-339. (Reviewer: Stephen D. Smith) 20D08 (10D12)

        [5] MR0335620 Conway, J. H.; Wales, D. B. Construction of the Rud- valis group of order 145,926,144,000. J. Algebra 27 (1973), 538-548. (Reviewer: Henry S. Leonard Jr.) 20D05

        [6] MR0605419 Griess, Robert L., Jr. A construction of F1 as automorphisms of a 196,883-dimensional algebra. Proc. Nat. Acad. Sci. U.S.A. 78 (1981), no. 2, part 1, 686-691. (Reviewer: Stephen D. Smith) 20D08 (17D99)

        [7] MR0671653 Griess, Robert L., Jr. The friendly giant. Invent. Math. 69 (1982), no. 1, 1-102. (Reviewer: George Glauberman) 20D08

        [8] MR0839580 (87i:20124) Griess, Robert L., Jr.(1-MI) Code loops. J. Algebra 100 (1986), no. 1, 224?234. 20N05 (94B05)

        [9] MR0885104 Griess, Robert L., Jr. Sporadic groups, code loops and nonvanishing cohomology. Proceedings of the Northwestern conference on cohomology of groups (Evanston, Ill., 1985). J. Pure Appl. Algebra 44 (1987), no. 1-3, 191?214. (Reviewer: David Benson) 20D08 (20J06 20N05)

        [10] MR1025167 (90j:20030) Griess, Robert L., Jr.(1-MI); Meierfrankenfeld, Ulrich(1-MIS); Segev, Yoav(IL-BGUN) A uniqueness proof for the Monster. Ann. of Math. (2) 130 (1989), no. 3, 567-602. 20D08

        [11] MR2975262 Reviewed Griess, Robert L., Jr.; Lam, Ching Hung A new existence proof of the monster by VOA theory. Michigan Math. J. 61 (2012), no. 3, 555?573. (Reviewer: Ozren Pere) 20D08 (17B69)

        [12] MR0768989 Tits, J. On R. Griess’ “friendly giant”. Invent. Math. 78 (1984), no. 3, 491-499. (Reviewer: Stephen D. Smith) 20D08

        [13] MR0768956 Tits, Jacques Le Monstre (d’apr`es R. Griess, B. Fischer et al.). (French) [The Monster (following R. Griess, B. Fischer et al.)] Seminar Bourbaki, Vol. 1983/84. Astrisque No. 121-122 (1985), 105-122. (Reviewer: P. Fong) 20D08
         

(Visited 11 times, 1 visits today)