46
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

Polytopes for Crystallized Demazure Modules and Extremal Vectors

Pages 1349-1367 | Received 01 Sep 2000, Published online: 26 Dec 2007

References

  • Kashiwara , M. 1990 . Crystalling the q-analogue of Universal Enveloping Algebras . Comm. Math. Phys. , 133 : 249 – 260 .
  • Kashiwara , M. 1991 . On Crystal Bases of the q-analogue of Universal Enveloping Algebras . Duke Math. J. , 63 ( 2 ) : 465 – 516 .
  • Kashiwara , M. 1993 . Crystal base and Littelmann's Refined Demazure Character Formula . Duke Math. J. , 71 ( 3 ) : 839 – 858 .
  • Kashiwara , M. 1994 . Crystallization of Quantized Enveloping Algebras . Sugaku Expositions , 7 ( 1 )
  • Kashiwara , M. and Nakashima , T. 1994 . Crystal Graph for Representations of the q-analogue of Classical Lie Algebras . J. Algebra , 165 ( 2 ) : 295 – 345 .
  • Kumar , S. 1987 . Demazure Character Formula in Arbitrary Kac-Moody setting . Invent. Math. , 89 : 395 – 423 .
  • Littelmann , P. 1995 . Crystal Graphs and Young Tableaux . J. Algebra , 175 : 65 – 87 .
  • Mathieu , O. 1988 . Formules de Caractères Pour Les Algèbres de Kac-Moody Générales . Astérisue , 159 : 160
  • Nakashima , T. and Zelevinsky , A. 1997 . Polyhedral Realization of Crystal Bases for Quantized kac-Moody Algebras . Advances in Mathematics , 131 ( 1 ) : 253 – 278 .
  • Nakashima , T. 1999 . Polyhedral Realizations of Crystal Bases for Integrable Highest Weight Modules . J. Algebra , 219 : 571 – 597 .
  • Nakashima , T. 1999 . Polyhedral Realizations of Crystal Bases and Braid-type Isomorphisms . Contemporary Mathematics , 248 : 419 – 435 .

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.