List of publications of Boris Weisfeiler


This is merely a loose mirror of a part of the Boris Weisfeiler's site, maintained by Olga Weisfeiler, please link and refer to it as the primary source.

  1. The classification of semi-simple Lie algebras over p-adic field, Dokl. Akad. Nauk USSR 158 (1964), no.2, 258-260 (in Russian); English translation: Sov. Math. Dokl. 5 (1964), 1206-1208; MR 30#201, Zbl 0158.28601.  

  2. On one class of unipotent subgroups of semisimple algebraic groups, Uspekhi Mat. Nauk 21 (1966), N2, 222-223 (in Russian); arXiv:math/0005149 (English translation); MR 33#2634.

  3. Infinite dimensional filtered Lie algebras and their connection with graded Lie algebras, Funkts. Anal. Prilozh. 2 (1968), N1, 94-95 (in Russian); Funct. Anal. Appl. 2 (1968), 88-89 (English translation); MR 38#1134, Zbl 0245.17006.  

  4. On a property of semisimple algebraic groups, Funkts. Anal. Prilozh. 2 (1968), N3, 84-85 (in Russian); Funct. Anal. Appl. 2 (1968), 257-258 (English translation); MR 39#2770, Zbl 0237.20036.  

  5. (with A.A. Lehman) A reduction of a graph to a canonical form and an algebra arising during this reduction, Nauchno-Technicheskaya Informatsiya, Ser. 2, 1968, N9, 12-16 (in Russian).

  6. (with G.M. Adelson-Velsky, A.A. Lehman and I.A. Faradzhev) An example of a graph which has no transitive group of automorphisms, Dokl. Akad. Nauk SSSR 185 (1969), no.5, 975-976 (in Russian); Soviet Math. Dokl. 10 (1969), 440-441 (English translation); MR 39#5424, Zbl 0208.52501.

  7. Some properties of exceptional semisimple algebraic groups over nonclosed fields, Trudy Moskov. Mat. Obshch. 20 (1969), 111-136 (in Russian); Trans. Moscow Math. Soc. 20 (1969), 109-134 (English translation); MR 41#1745, Zbl 0237.20037.

  8. Remarks on some algebraic groups, Funkts. Anal. Prilozh. 4 (1970), N1, 91 (in Russian); Funct. Anal. Appl. 4 (1970), 81-82 (English translation); MR 42#1832, Zbl 0201.53602.  

  9. (with V.G. Kac) Irreducible representations of Lie p-algebras, Funkts. Anal. Prilozh. 5 (1971), N2, 28-36 (in Russian); Funct. Anal. Appl. 5 (1971), 111-117 (English translation); MR 44#2793, Zbl 0237.17003.  

  10. Semisimple algebraic groups which are split over a quadratic extension, Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), 56-71 (in Russian); Math. USSR Izv. 5 (1971), 57-72 (English translation); MR 43#3270, Zbl 0237.20038.  

  11. (with V.G. Kac) Exponentials in Lie algebras of characteristic p, Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), 762-788 (in Russian); Math. USSR Izv. 5 (1971), 777-803 (English translation); Correction: 58 (1994), 224; 45 (1995), 229; MR 46#5408, Zbl 0245.17007.  

  12. (with V.L. Arlazarov, A.A. Lehman and V.K. Titov) A mathematical description of ICL system 4, Institute of Control Problems, 1971, Issue 2 (in Russian).

  13. The Hasse principle for algebraic groups split over a quadratic extension, Funkts. Anal. Prilozh. 6 (1972), N2, 21-23 (in Russian); Funct. Anal. Appl. 6 (1972), 102-104 (English translation); MR 46#185, Zbl 0251.20045.  

  14. (with I.V. Dolgachev) Unipotent group schemes over integral rings, Izv. Akad. Nauk SSSR Ser. Mat. 38 (1974), 757-799 (in Russian); Math. USSR Izv. 8 (1974), 761-800 (English translation); Errata and addenda: 8 (1974), 1433; MR 51#12872, Zbl 0314.14015, Zbl 0321.14027.  

  15. (with V.G. Kac) Coadjoint action of a semi-simple algebraic group and the center of the enveloping algebra in characteristic p, Nederl. Akad. Wetensch. Proc. Ser. A 79 = Indag. Math. 38 (1976), 136-151; MR 54#5364, Zbl 0324.17001.

  16. On Construction and Identification of Graphs (with contributions by G.M. Adelson-Velsky, V.L. Arlazarov, I.A. Faradzhev, A.A. Lehman, M.Z. Rosenfeld, A.V. Uskov, B. Weisfeiler, and I.I. Zuev. Edited by B. Weisfeiler), Lecture Notes in Mathematics 558 (1976); MR 58#27590, Zbl 0366.05019.  

  17. On Lie algebras of differential formal groups of Ritt, Bull. Amer. Math. Soc. 84 (1978), 127-130; MR 81f:14027, Zbl 0382.14016.

  18. On the structure of the minimal ideal of some graded Lie algebras in characteristic p > 0, J. Algebra 53 (1978), 344-361; MR 80b:17011, Zbl 0388.17005.

  19. (with W. Mills and A.M. Krall) Discovering theorems with a computer: the case of y' = sin(xy), Amer. Math. Monthly 86 (1979), 733-739; MR 81g:34002, Zbl 0431.34012.  

  20. On abstract monomorphisms of k-forms of PGL(2), J. Algebra 57 (1979), 522-543; MR 80e:14019, Zbl 0406.20035.

  21. Abstract monomorphisms between big subgroups of some groups of type B2 in characteristic 2, J. Algebra 60 (1979), 204-222; MR 81e:20050, Zbl 0429.20041.

  22. On abstract homomorphisms of anisotropic algebraic groups over real-closed fields, J. Algebra 60 (1979), 485-519; MR 80k:20045, Zbl 0417.20041.

  23. On a case of extensions of group schemes, Trans. Amer. Math. Soc. 248 (1979), 171-189; MR 81c:14027, Zbl 0412.14022.

  24. (with D.G. James) On the geometry of unitary groups, J. Algebra 63 (1980), 514-540; MR 82e:10039, Zbl 0428.14023.

  25. (with W.C. Waterhouse) One-dimensional affine group schemes, J. Algebra 66 (1980), 550-568; MR 82e:14057, Zbl 0452.14013.

  26. Monomorphisms between subgroups of groups of type G2, J. Algebra 68 (1981), 306-334; MR 82j:20088, Zbl 0453.20030.

  27. Abstract isomorphisms of simple algebraic groups split by quadratic extensions, J. Algebra 68 (1981), 335-368; MR 82j:20089, Zbl 0456.20023.

  28. (with D. James and W. Waterhouse) Abstract homomorphisms of algebraic groups: problems and bibliography, Comm. Algebra 9 (1981), 95-114; MR 81m:20059, Zbl 0452.20045.  

  29. (with W. Nichols) Differential formal groups of J.F. Ritt, Amer. J. Math. 104 (1982), 943-1003; MR 84j:14045, Zbl 0567.14025.  

  30. Abstract homomorphisms of big subgroups of algebraic groups, Topics in the Theory of Algebraic Groups, Notre Dame Math. Lectures 10 (1982), 135-181; MR 84m:20051, Zbl 0567.14025.

  31. On subalgebras of simple Lie algebras of characteristic p > 0, Trans. Amer. Math. Soc. 286 (1984), 471-503; MR 86h:17012, Zbl 0555.17003.

  32. (with C.R. Matthews and L.N. Vaserstein) Congruence properties of Zariski-dense subgroups. I, Proc. London Math. Soc. 48 (1984), 514-532; MR MR85d:20040, Zbl 0551.20029.  

  33. Strong approximation for Zariski-dense subgroups of semi-simple algebraic groups, Ann. Math. 120 (1984), 271-315; MR 86m:20053, Zbl 0568.14025.  

  34. (with A.J. Hahn and D.G. James) Homomorphisms of algebraic and classical groups: a survey, Quadratic and Hermitian Forms, Canad. Math. Soc. Conf. Proc. 4 (1984), 249-296; MR 87b:20056, Zbl 0547.20036

  35. Post-classification version of Jordan's theorem on finite linear groups, Proc. Nat. Acad. Sci. USA 81 (1984), 5278-5279; MR 85j:20041, Zbl 0542.20026.

  36. Comments on differential invariants, Infinite-Dimensional Groups with Applications, Math. Sci. Res. Inst. Publ., Vol. 4, 355-370, Springer, 1985; MR 87e:12013, Zbl 0621.12018.  

Unfinished and unpublished manuscripts

  1. On the maximal subgroups of the finite classical groups, 1984, 72 pp.  
  2. On the size and structure of finite linear groups, 1984; arXiv:1203.1960.
    Parts 1-14, 91 typewritten pages
    Part 15, 22 handwritten pages
    Part 16, 10 handwritten pages
    Part 17, 6 handwritten pages
    Parts A1-A10, 25 handwritten pages

Created: Wed Aug 9 2006
Last modified: Wed Jun 19 21:58:34 CEST 2024