18
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Characters of modular torsion free representations of classical lie algebras

Pages 4807-4826 | Received 01 Aug 1993, Published online: 27 Jun 2007

References

  • Benkart , G.M. , Britten , D.J. and Lemire , F.W. 1990 . Stabilty in Modules for classical lie Algebras - A Constructive Approach . Mem. Amer. Math.Soc , 85 : 430
  • Block , R. 1962 . Trace forms on Lie algebras . Can. J. Math. , 14 : 553 – 564 .
  • Britten , D. and Lemire , F. 1982 . Irreducible representatzons of A, wzth a I-dimenszonal weight Space . Trans. Amer. Math. Soc. , 273 : 509 – 540 .
  • Britten , D. 1987 . A classification of sample Lie modules havzng a I-dimensional weight space . Trans. Amer. Math. Soc. , 299 : 683 – 679 .
  • Collingwood , D.H. and MCGovero , W.M. 1993 . Nilpotent orbits in semisimple lie algebras wadsworth and Brooks, Pacific Grove California
  • Curtis , C.W. 1960 . Representations of Lie Algebras of Classical tyoe application to Linear groups . J. Math. Mechanics , 9 : 307 – 326 .
  • Dixmier , J. 1977 . Enveloping algebras , Amsterdam : North-Holland .
  • Fernando , S.L. 1990 . Lie algebras modules with finite dimensional weight space . Trans. Amer. Math. Soc. , 322 : 757 – 781 .
  • Friedlander , E.M. and Parshall , B.J. 1988 . Modular representation theroy of lie algebras . Amer. J. Math. , 110 : 1055 – 1094 .
  • Friedlander , E.M. 1990 . Deformation of lie algebras representation . Amer. J. Math , 112 : 375 – 395 .
  • Friedlander , E.M. 1991 . Indution deformation and specialization of lie algebra represenatations . Math.Ann. , 290 : 473 – 489 .
  • Futorny , V.M. and Lemire , F.W. 1993 . Simple Finite dimensional C(A2) Modules to appear
  • Gerstenhable , M. 1961 . Dominance over classcial groups . Ann. Of math , 74 : 532 – 569 .
  • Humphreys , J.E. 1971 . Modular Representation of lie algebras and semisimple groups . J. Algebras , 19 : 51 – 79 .
  • Kac , V. and Weisfeiler , B. 1971 . Irreducible represenatations of lie p-algebras . Funkts. Anal , 5 : 28 – 36 .
  • Kac , V. 1976 . Coadjooint action of a semisimple algebraic group and the center of the envelop-ing algebra in charactcristic p . Indag. math , 38 : 135 – 151 .
  • Lemire , F. 1975 . A new family of irreducible representations of Ann . Can. Math. Bull , 18 : 543 – 546 .
  • Peters , K.M. and Shi , Z. A COnstruction of Modular representation of classical lie algebras , Amer. Math.Soc. . to appear
  • Seligman , G.B. 1967 . Modular Lie algebras , Newyork : Springer-Verlag .

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.