Conjugacy classes in the weyl group

R. W. Carter

Compositio Mathematica (1972)

  • Volume: 25, Issue: 1, page 1-59
  • ISSN: 0010-437X

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Carter, R. W.. "Conjugacy classes in the weyl group." Compositio Mathematica 25.1 (1972): 1-59. <http://eudml.org/doc/89111>.

@article{Carter1972,
author = {Carter, R. W.},
journal = {Compositio Mathematica},
language = {eng},
number = {1},
pages = {1-59},
publisher = {Wolters-Noordhoff Publishing},
title = {Conjugacy classes in the weyl group},
url = {http://eudml.org/doc/89111},
volume = {25},
year = {1972},
}

TY - JOUR
AU - Carter, R. W.
TI - Conjugacy classes in the weyl group
JO - Compositio Mathematica
PY - 1972
PB - Wolters-Noordhoff Publishing
VL - 25
IS - 1
SP - 1
EP - 59
LA - eng
UR - http://eudml.org/doc/89111
ER -

References

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  1. A. Borel And J. De Siebenthal [1] 'Les sous-groupes fermés connexes de rang maximum des groupes de Lie clos', Comm. Math. Helv.23 (1949), 200-21, Zbl0034.30701MR32659
  2. H.S.M. Coxeter [2] 'The product of generators of a finite group generated by reflections', Duke Math. Journal18 (1951), 765-82. Zbl0044.25603MR45109
  3. E.B. Dynkin [3] 'Semisimple subalgebras of semisimple Lie algebras', A. M. S. Translations (2) 6 (1957), 111-244 Zbl0077.03404
  4. J.S. Frame [4] 'The classes and representations of the groups of 27 lines and 28 bitangents', Annali Math. Pura App.32 (1951). [5] To appear. Zbl0045.00505MR47038
  5. G. Frobenius [6] Berliner Sitz. (1900). 
  6. N. Jacobson [7] Lie Algebras (Interscience, New York). Zbl0121.27504
  7. S. Lang [8] 'Algebraic groups over finite fields' Amer. Math. Jour.78 (1956), 555-63. Zbl0073.37901MR86367
  8. I. Schur [9] 'Über die Darstellung der symmetrischen Gruppe durch lineare homogene Substitutionen', Berliner Sitz. (1908), 664-78. Zbl39.0196.03JFM39.0196.03
  9. W. Specht [10] 'Darstellungstheorie der Hyperoktaedergruppe', Math. Zeit.42 (1937), 629-40. Zbl0017.00603MR1545696JFM63.0077.03
  10. R. Steinberg [11] 'Finite reflection groups', Trans. Amer. Math. Soc.91 (1959) 493-504. Zbl0092.13904MR106428
  11. [12] 'Endomorphisms of linear algebraic groups', Memoirs Amer. Math. Soc.80 (1968). Zbl0164.02902MR230728
  12. G.E. Wall [13] 'On the conjugacy classes in the unitary, symplectic and orthogonal groups', Journal Australian Math. Soc.3 (1963), 1-62. Zbl0122.28102MR150210
  13. A. Young [14] 'On quantitative substitutional analysis IV', Proc. London Math. Soc. (2) 31 (1931), 253-72. Zbl56.0135.02JFM56.0135.02
  14. [15] 'On quantitative substitutional analysis V', Proc. London Math. Soc. (2) 31 (1931) 273-88. 
  15. T. Kondo [16] 'The characters of the Weyl group of type F4', J. Fac. Sci., University of Tokyo11 (1965) 145-153. Zbl0132.27401MR185018
  16. R.W. Carter AND G.B. Elkington [17] 'A note on the parametrisation of conjugacy classes', To appear. Zbl0239.20053MR289521
  17. A. Borel ET AL. [18] Seminar on Algebraic Groups and Related Finite Groups (Springer Lecture Notes, No. 131) Zbl0192.36201

Citations in EuDML Documents

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  1. Dragomir Đoković, The closure diagram for nilpotent orbits of the split real form of E8
  2. D. Bubboloni, M. S. Lucido, Th. Weigel, Generic 2 -coverings of finite groups of Lie type
  3. Meinolf Geck, Trace functions on Iwahori-Hecke algebras
  4. Florent Jouve, Emmanuel Kowalski, David Zywina, An explicit integral polynomial whose splitting field has Galois group W ( E 8 )
  5. Francesca Vetro, Irreducibility of Hurwitz Spaces of Coverings with Monodromy Groups Weyl Groups of Type W ( B d )
  6. David C. Keys, L -indistinguishability and R -groups for quasisplit groups : unitary groups in even dimension
  7. Francesca Vetro, Connected Components of Hurwitz Spaces of Coverings with One Special Fiber and Monodromy Groups Contained in a Weyl Group of Type B d
  8. David Bessis, The dual braid monoid

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