47
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Left cells in the weyl group of type 7

&
Pages 3837-3852 | Received 01 Jul 1997, Published online: 23 Dec 2010

References

  • Barbasch , D. and Vogan , D. 1982 . Primitive ideals and orbital integrals in complex classical groups . Math. Ann , 259 : 153 – 199 .
  • Vogan , D. 1983 . Primitive ideals and orbital integrals in complex exceptional groups . J. Algebra , 259 : 350 – 382 .
  • Carter , R.W. 1985 . “ Finite Groups of Lie Type: Conjugacy Classes and Complex Characters ” . In Wiley Series in Pure and Applied Mathematics , London : John Wiley .
  • Chen , Yu and Shi , Jain-yi . 1997 . “ Left cells in the Weyl group of type Ej ” . In School of Math, and Stat., Sydney Univ , Sydney Univ . Research Report 97-22
  • Garfinkle , Devra . 1990 . On the classification of primitive ideals for complex classical Lie algebra, I . Composite Math , 75 : 135 – 169 .
  • Garfinkle , Devra . 1992 . On the classification of primitive ideals for complex classical Lie Algebras, II . Compositio , 81 : 307 – 336 .
  • Garfinkle , Devra . 1993 . On the classification of primitive ideals for complex classical Lie Algebras, III . Compositio , 88 : 187 – 234 .
  • Kazhdan , D. and Lusztig , G. 1979 . Representations of Coxeter groups and Hecke algebras . Invent. Math , 53 : 165 – 184 .
  • Lusztig , G. 1984 . “ Characters of Reductive Groups over a Finite Field ” . In Ann. Math. Studies , Vol. 107 , Princeton University Press .
  • Lusztig , G. 1985 . “ Cells in affine Weyl groups, in Algebraic Groups and Related Topics ” . In Advanced Studies in Pure Math , 255 – 287 . Kinokunia and North Holland .
  • Lusztig , G. 1987 . Cells in affine Weyl groups, II . J. Aig , 109 : 536 – 548 .
  • Lusztig , G. 1987 . Cells in affine Weyl groups, I . J. Fac. Sci. Univ. Tokyo Sect. IA. Math , 34 : 223 – 243 .
  • Lusztig , G. 1989 . Cells in affine Weyl groups, IV . J. Fac. Sci. Univ. Tokyo Sect. IA. Math , 36 : 297 – 328 .
  • Rui , Hebin . 1995 . Left cells in affine Weyl groups of types other than Ãn and [Gtilde]2 . J. Algebra , 175 : 732 – 756 .
  • Shi , Jian-yi . 1987 . Alcoves corresponding to an affine Weyl group . J. London Math. Soc , 35 ( 2 ) : 42 – 55 .
  • Shi , Jian-yi . 1994 . Left cells in affine Weyl groups . Tohoku J. Math , 46 ( 1 ) : 105 – 124 .
  • Shi , Jian-yi . 1994 . Left cells of the affine Weyl group Wa{[Dtilde]4) . Osaka J. Math , 31 ( 1 ) : 27 – 50 .
  • Shi Jian-yi Left cells in the affine Weyl group of type C4 J. Algebra to appear
  • Shi Jian-yi Left cells in the affine Weyl group of type F4 J. Algebra to appear
  • Shi , Jian-yi . The action of simple reflections on the alcoves , preprint .
  • Takahashi , K. 1990 . The left cells and their W-graphs of Weyl group of type F4 . Tokyo J. Math , 13 : 327 – 340 .
  • Tong , Chang-qing . 1995 . Left cells in the Weyl group of type E 6 . Comm. in Algebra , 23 ( 13 ) : 5031 – 5047 .
  • Zhang , Xin-fa . 1994 . Cells decomposition in the affine Weyl group W a([Btilde]4) . Comm. in Algebra , 22 ( 6 ) : 1955 – 1974 .

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.