101
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Submodule Lattice of Generalized Verma Modules

, &
Pages 6175-6197 | Received 01 Jul 2002, Published online: 01 Feb 2007

References

  • Bernstein , I. N. and Gel'fand , I. M. 1980 . Tensor products of finite- and infinite-dimensional representations of semi-simple Lie algebras . Composito Math. , 41 : 245 – 285 .
  • Bernstein , I. N. , Gel'fand , I. M. and Gel'fand , S. I. 1971 . Structure of representations generated by highest weight vectors . Functional Anal. Appl. , 5 : 1 – 8 .
  • Bernstein , I. N. , Gel'fand , I. M. and Gel'fand , S. I. 1975 . “ Differential operators on the base affine space and a study of g-modules ” . In Lie Groups and Their Representations 21 – 64 . Summer School of the Bolyai Janos Math Soc. .
  • Britten , D. J. and Lemire , F. W. 1998 . The torsion free prieri formula . Canad. J. Math. , 50 : 266 – 289 .
  • Britten , D. J. and Lemire , F. W. 2001 . Tensor product realizations of simple torsion free modules . Canad. J. Math. , 53 : 225 – 243 .
  • Coleman , A. J. and Futorny , V. 1994 . Stratified L-modules . J. Algebra , 163 : 219 – 234 .
  • Fernando , S. 1990 . Lie algebra modules with finite dimensional weight spaces I . Trans. Amer. Math. Soc. , 322 : 757 – 781 .
  • Khomenko, O., Mazorchuk, V. Structure of induced modules from simple modules with a minimal annihilator, pre-print
  • Kac , V. G. and Wakimoto , M. 1998 . Modular invariant representations of infinite-dimensional Lie algebras and superalgebras . Proc. Natl. Acad. Sci. USA , 183 : 4956 – 4960 .
  • Lepowsky , J. 1977a . Generalized verma modules, the Cartan-Helgason theorem, and the Harish-Chandra homomorphism . J. Algebra , 49 : 470 – 495 .
  • Lepowsky , J. 1977b . A Generalization of the Bernstein-Gelfand-Gelfand resolution . J. Algebra , 49 : 496 – 511 .
  • Mathieu , O. 2000 . Classification of irreducible weight modules . Ann. Inst. Fourier, Grenoble , 50 : 537 – 592 .
  • Mazorchuk , V. 2002 . Generalized Verma Modules , Mathematical studies monograph series 182 VNTL Publishers .
  • Soergel , W. 1990 . Category 𝒪, perverse sheaves and modules over the coinvariants for the Weyl group . J. Amer Math. Soc. , 3 : 421 – 445 .

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.