Generalized Frobenius-Schur numbers

Journal of Algebra

Volumn 278, Issue 1, 2004, Pages 294-313

  Bump, Daniel ^a   Ginzburg, David ^b  

^a STANFORD UNIVERSITY   (United States)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3242711949     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2004.02.012     Document Type: Article

References (26)

1. Baddeley R. Models and involution models for wreath products and certain Weyl groups J. London Math. Soc. (2) 44 1991 55-74
2. Berggren J.L. Finite groups in which every element is conjugate to its inverse Pacific J. Math. 28 1969 289-293
3. Bernstein J. Gelfand I. Gelfand S. Models of representations of compact Lie groups Funct. Anal. Appl. 9 1976 322-324
4. Bump D. Automorphic Forms and Representations 1997 Cambridge University Press
5. Conway J. Curtis R. Norton S. Parker R. Wilson R. Atlas of Finite Groups 1985
6. Curtis C. Pioneers of Representation Theory: Frobenius, Burnside, Schur and Brauer 1999 Amer. Math. Soc.
7. Digne F. Shintani descent and L functions on Deligne-Lusztig varieties In: Fong P. The Arcata Conference on Representations of Finite Groups Proc. Sympos. Pure Math., part 1 vol. 47 1986 61-68 Amer. Math. Soc.
8. Feit W. Characters of Finite Groups 1967 Benjamin New York-Amsterdam
9. Frobenius G. Über die charakterisischen Einheiten der symmetrischen Gruppe Sitz.ber. Akad. Wiss. Berlin 1903 504-537
10. Frobenius G. Schur I. Über die rellen Darstellungen der endlichen Gruppen Sitz.ber. Akad. Wiss. Berlin 1906 186-208
11. q) J. Algebra 2004
12. Gow R. Real representations of the finite orthogonal and symplectic groups of odd characteristic J. Algebra 96 1985 249-274
13. Gow R. Properties of the characters of the finite general linear group related to the transpose-inverse involution Proc. London Math. Soc. (3) 47 1993 493-506
14. Hall P. On a theorem of Frobenius Proc. London Math. Soc. (2) 40 1935 468-501
15. Howlett R. Zworestine C. On Klyachko's model for the representations of finite general linear groups Representations and Quantizations (Shanghai, 1998) 2000 229-245
16. n Arch. Math. (Basel) 54 1990 258-259
17. Inglis N.F.J. Saxl J. An explicit model for the complex representations of the finite general linear groups Arch. Math. (Basel) 57 5 1991 424-431
18. Kawanaka N. Matsuyama H. A twisted version of the Frobenius-Schur indicator and multiplicity-free permutation representation Hokkaido Math. J. 19 1990 495-508
19. Klyachko A. Models for complex representations of the groups GL(n,q) Mat. Sb. (N.S.) 120 162 1983 371-386
20. Macdonald I.G. Symmetric Functions and Hall Polynomials second ed. Oxford Math. Monogr. 1995 Clarendon Press, Oxford University Press New York with contributions by A. Zelevinsky, Oxford Science Publications
21. Prasad D. On the self-dual representations of finite groups of Lie type J. Algebra 1998
22. Shintani T. Two remarks on the irreducible characters of finite general linear groups J. Math. Soc. Japan 28 1976 396-414
23. Solomon L. On the sum of the elements in the character table of a finite group Proc. Amer. Math. Soc. 12 1961 962-963
24. Soto-Andrade J. Geometrical Gelfand models, tensor quotients, and Weyl representations Fong P. The Arcata Conference on Representations of Finite Groups Proc. Sympos. Pure Math., part 1 vol. 47 1986 305-316 Amer. Math. Soc.
25. Steinberg R. Lectures on Chevalley Groups 1968 Yale University Press
26. Vinroot R. PhD thesis, Stanford University, 2004, in preparation