Hecke algebras and characters of parabolic type of finite group with ( B , N ) -pairs

Charles W. Curtis; Nagoyashi Iwahori; Robert Kilmoyer

Publications Mathématiques de l'IHÉS (1971)

  • Volume: 40, page 81-116
  • ISSN: 0073-8301

How to cite

top

Curtis, Charles W., Iwahori, Nagoyashi, and Kilmoyer, Robert. "Hecke algebras and characters of parabolic type of finite group with $(B, N)$-pairs." Publications Mathématiques de l'IHÉS 40 (1971): 81-116. <http://eudml.org/doc/103916>.

@article{Curtis1971,
author = {Curtis, Charles W., Iwahori, Nagoyashi, Kilmoyer, Robert},
journal = {Publications Mathématiques de l'IHÉS},
language = {eng},
pages = {81-116},
publisher = {Institut des Hautes Études Scientifiques},
title = {Hecke algebras and characters of parabolic type of finite group with $(B, N)$-pairs},
url = {http://eudml.org/doc/103916},
volume = {40},
year = {1971},
}

TY - JOUR
AU - Curtis, Charles W.
AU - Iwahori, Nagoyashi
AU - Kilmoyer, Robert
TI - Hecke algebras and characters of parabolic type of finite group with $(B, N)$-pairs
JO - Publications Mathématiques de l'IHÉS
PY - 1971
PB - Institut des Hautes Études Scientifiques
VL - 40
SP - 81
EP - 116
LA - eng
UR - http://eudml.org/doc/103916
ER -

References

top
  1. [1] Mark BENARD, On the Schur indices of the characters of the exceptional Weyl groups, Ph. D. dissertation, Yale University, 1969. 
  2. [2] N. BOURBAKI, Algèbre commutative, chap. 5, 6, Paris, Hermann, 1964. Zbl0205.34302
  3. [3] N. BOURBAKI, Groupes et algèbres de Lie, chap. 4, 5, 6, Paris, Hermann, 1968. 
  4. [4] R. W. CARTER, Simple groups and simple Lie algebras, J. London Math. Soc., 40 (1965), 193-240. Zbl0232.20017MR30 #4855
  5. [5] C. W. CURTIS, The Steinberg character of a finite group with a (B, N)-pair, J. Algebra, 4 (1966), 433-441. Zbl0161.02203MR34 #1406
  6. [6] C. W. CURTIS and T. FOSSUM, On centralizer rings and characters of representations of finite groups, Math. Z., 107 (1968), 402-206. Zbl0185.06801MR38 #5946
  7. [7] C. W. CURTIS and I. REINER, Representation Theory of Finite Groups and Associative Algebras, N. Y., John Wiley and Sons (Interscience), 1962. Zbl0131.25601MR26 #2519
  8. [8] W. FEIT and G. HIGMAN, The non-existence of generalized polygons, J. Algebra, 1 (1964), 114-131. Zbl0126.05303MR30 #1189
  9. [9] W. FEIT, Characters of Finite Groups, N. Y., W. A. Benjamin, 1967. Zbl0166.29002MR36 #2715
  10. [10] J. S. FRAME, The double cosets of a finite group, Bull. Amer. Math. Soc., 47 (1941), 458-467. Zbl0027.15201MR2,307cJFM67.0978.01
  11. [11] N. IWAHORI, On the structure of the Hecke ring of a Chevalley group over a finite field, J. Faculty Science, Tokyo University, 10 (part 2), (1964), 215-236. Zbl0135.07101MR29 #2307
  12. [12] N. IWAHORI, On some properties of groups with (B, N)-pairs, Theory of Finite Groups, Brauer, Sah. ed., N. Y., W. A. Benjamin, 1969. Zbl0227.20004
  13. [13] R. KILMOYER, Some irreducible complex representations of a finite group with a BN-pair. Ph. D. dissertation, M.I.T., 1969. 
  14. [14] S. LANG, Diophantine Geometry, N. Y., John Wiley and Sons (Interscience), 1962. Zbl0115.38701MR26 #119
  15. [15] D. E. LITTLEWOOD, Theory of Group Characters, Oxford, 1940. Zbl0025.00901JFM66.0093.02
  16. [16] G. MACKEY, Symmetric and anti-symmetric Kronecker squares..., Amer. J. Math., 75 (1953), 387-405. Zbl0051.25903MR14,947d
  17. [17] H. MATSUMOTO, Générateurs et relations des groupes de Weyl généralisés, C. R. Acad. Sci. Paris, 258 (1964), 3419-3422. Zbl0128.25202MR32 #1294
  18. [18] F. RICHEN, Modular representations of split BN-pairs, Trans. Amer. Math. Soc., 140 (1969), 435-460. Zbl0181.03801MR39 #4299
  19. [19] R. STEINBERG, Finite reflection groups, Trans. Amer. Math. Soc., 91 (1959), 493-504. Zbl0092.13904MR21 #5160
  20. [20] R. STEINBERG, Lectures on Chevalley groups (lecture notes), Yale University, 1967. 
  21. [21] O. ZARISKI and P. SAMUEL, Commutative Algebra, II, N. Y., Van Nostrand, 1960. Zbl0121.27801MR22 #11006

Citations in EuDML Documents

top
  1. Bertram Huppert, Some simple groups which are determined by the set of their character degrees. II
  2. Ivan Marin, Quotients infinitésimaux du groupe de tresses
  3. T. A. Springer, Caractères de groupes de Chevalley finis
  4. Ivan Marin, Irréductibilité générique des produits tensoriels de monodromies
  5. François Digne, Jean Michel, Fonctions L des variétés de Deligne-Lusztig et descente de Shintani
  6. Pierre Cartier, Détermination des caractères des groupes finis simples : travaux de Lusztig
  7. Wim Couwenberg, Gert Heckman, Eduard Looijenga, Geometric structures on the complement of a projective arrangement
  8. Nikolai Vavilov, A third look at weight diagrams
  9. E. M. Opdam, Dunkl operators, Bessel functions and the discriminant of a finite Coxeter group

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.