×

Conjugacy classes in the Weyl group. (English) Zbl 0254.17005


MSC:

17B20 Simple, semisimple, reductive (super)algebras
17B25 Exceptional (super)algebras
PDF BibTeX XML Cite
Full Text: Numdam EuDML

References:

[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, · Zbl 0034.30701
[2] H.S.M. Coxeter [2] ’The product of generators of a finite group generated by reflections’ , Duke Math. Journal 18 (1951), 765-82. · Zbl 0044.25603
[3] E.B. Dynkin [3] ’Semisimple subalgebras of semisimple Lie algebras’ , A. M. S. Translations (2) 6 (1957), 111-244 · Zbl 0077.03404
[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. · Zbl 0045.00505
[5] G. Frobenius [6] Berliner Sitz . (1900).
[6] N. Jacobson [7] Lie Algebras (Interscience, New York). · Zbl 0121.27504
[7] S. Lang [8] ’Algebraic groups over finite fields’ Amer . Math. Jour. 78 (1956), 555-63. · Zbl 0073.37901
[8] I. Schur [9] ’Über die Darstellung der symmetrischen Gruppe durch lineare homogene Substitutionen’ , Berliner Sitz. (1908), 664-78. · JFM 39.0196.03
[9] W. Specht [10] ’Darstellungstheorie der Hyperoktaedergruppe’ , Math. Zeit. 42 (1937), 629-40. · Zbl 0017.00603
[10] R. Steinberg [11] ’Finite reflection groups’ , Trans. Amer. Math. Soc. 91 (1959) 493-504. · Zbl 0092.13904
[11] ’Endomorphisms of linear algebraic groups’ , Memoirs Amer. Math. Soc. 80 (1968). · Zbl 0164.02902
[12] G.E. Wall [13] ’On the conjugacy classes in the unitary, symplectic and orthogonal groups’ , Journal Australian Math. Soc. 3 (1963), 1-62. · Zbl 0122.28102
[13] A. Young [14] ’ On quantitative substitutional analysis IV ’, Proc. London Math. Soc. (2) 31 (1931), 253-72. · JFM 56.0135.02
[14] ’ 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 Tokyo 11 (1965) 145-153. · Zbl 0132.27401
[16] R.W. Carter AND G.B. Elkington [17] ’A note on the parametrisation of conjugacy classes’ , To appear. · Zbl 0239.20053
[17] A. Borel ET AL. [18] Seminar on Algebraic Groups and Related Finite Groups (Springer Lecture Notes, No. 131) · Zbl 0192.36201
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.