55
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

ON THE AUTOMORPHISM GROUP SCHEMES OF LIE ALGEBRAS OF WITT TYPE

Pages 4047-4077 | Received 01 Mar 2001, Published online: 01 Feb 2007

REFERENCES

  • Shu , B. and Shen , G. 1995 . Automorphisms and Forms of Lie Algebras of Cartan Type . Comm. Algebra , 23 : 5243 – 5268 .
  • Bourbaki , N. 1961 . Algèbre commutative , Ch. 3–4 Hermann
  • Celousov , M. Yu. 1970 . Derivations of Lie Algebras of Cartan Type (Russian) . Izv. Vyssh. Uchebn. Zaved. Matematika , : 126 – 134 . no. 7
  • Demazure , M. and Gabriel , P. 1970 . Groupes Algébriques North-Holland : Masson .
  • Dzhumadil'daev , A. S. and Kostrikin , A. I. 1978 . Deformations of the Lie Algebra W 1(m) (Russian) . Trudy Mat. Inst. Steklov , 148 : 141 – 155 .
  • Dzhumadil'daev , A. S. 1989 . Deformations of the Lie Algebras Wn (m) (Russian) . Mat. Sbornik , 180 : 168 – 186 .
  • Gabriel , P. 1970 . “ Etude Infinitésimale des Schémas en Groupes ” . In Schémas en Groupes, Séminaires de Géométrie Algébrique (SGA3) Vol. 151 , Springer . Expose VIIB (Lect. Notes Math
  • Gerstenhaber , M. 1964 . On the Deformations of Rings and Algebras . Ann. Math. , 79 : 59 – 103 .
  • Gerstenhaber , M. 1968 . On the Deformations of Rings and Algebras, III . Ann. Math. , 88 : 1 – 34 .
  • Harrison , D. K. 1962 . Commutative Algebras and Cohomology . Trans. Amer. Math. Soc. , 104 : 191 – 204 .
  • Hochschild , G. P. and Serre , J.-P. 1953 . Cohomology of Lie Algebras . Ann. Math. , 57 : 591 – 603 .
  • Jacobson , N. 1943 . Classes of Restricted Lie Algebras of Characteristic p, II . Duke Math. J. , 10 : 107 – 121 .
  • Jantzen , J. C. 1987 . Representations of Algebraic Groups Academic Press .
  • Kostrikin , A. I. and Shafarevich , I. R. 1969 . Graded Lie Algebras of Finite Characteristic (Russian) . Izv. Akad. Nauk SSSR Ser. Mat. , 33 : 251 – 322 .
  • Ree , R. 1956 . On Generalized Witt Algebras . Trans. Amer. Math. Soc. , 83 : 510 – 546 .
  • Ree , R. 1959 . Note on Generalized Witt Algebras . Canad. J. Math. , 11 : 345 – 352 .
  • Roby , N. 1965 . Les Algèbre à Puissances Divisèes . Bull. Sci. Math. , 89 ( 2 ) : 75 – 91 .
  • Rudakov , A. N. 1971 . Deformations of Simple Lie Algebras (Russian) . Izv. Akad. Nauk SSSR Ser. Mat. , 35 : 1113 – 1119 .
  • Skryabin , S. M. 1988 . Regular Lie Rings of Derivations (Russian) . Vestnik Moscow Univ. Ser. I. Mat. Mekh. , 3 : 59 – 62 .
  • Skryabin , S. M. 1991 . Modular Lie Algebras of Cartan Type Over Algebraically Non-Closed Fields, I . Comm. Algebra , 19 : 1629 – 1741 . II Comm. Algebra 1995 23 1403–1453
  • Skryabin , S. M. 1995 . Group Schemes and Rigidity of Algebras in Positive Characteristic . J. Pure Appl. Algebra , 105 : 195 – 224 .
  • Strade , H. and Wilson , R. L. 1991 . Classification of Simple Lie Algebras Over Algebraically Closed Fields of Prime Characteristic . Bull. Amer. Math. Soc. , 24 : 357 – 362 .
  • Strade , H. 1998 . The Classification of the Simple Modular Lie Algebras: VI. Solving the Cinal Case . Trans. Amer. Math. Soc. , 350 : 2553 – 2628 .
  • Waterhouse , W. C. 1971 . Automorphism Schemes and Forms of Witt Lie Algebras . J. Algebra , 17 : 34 – 40 .
  • Waterhouse , W. C. 1991 . Automorphisms and Twisted Forms of Generalized Witt Lie Algebras . Trans. Amer. Math. Soc. , 327 : 185 – 200 .
  • Wilson , R. L. 1971 . Classification of Generalized Witt Algebras Over Algebraically Closed Fields . Trans. Amer. Math. Soc. , 153 : 191 – 210 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.