On mixed products of complex characters of the double covers of the symmetric groups

Pacific Journal of Mathematics

Volumn 199, Issue 2, 2001, Pages 257-268

  Bessenrodt, Christine ^a  

^a OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039303249     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.2001.199.257     Document Type: Article

References (15)

1. C. Bessenrodt and A. Kleshchev, On Kronecker products of complex representations of the symmetric groups, Pacific J. Math., 190(2) (1999), 201-223, MR 2000i:20017.
2. C. Bessenrodt and A. Kleshchev, On Kronecker products of spin characters of the double covers of the symmetric groups, Pacific J. Math., 198 (2001), 295-305.
3. M. Clausen and H. Meier, Extreme irreduzible Konstituenten in Tensordarstellungen symmetrischer Gruppen, Bayreuther Math. Schriften, 45 (1993), 1-17, MR 94j:20009, Zbl 799.05004.
4. n characters, J. Algebra, 154 (1993), 125-140, MR 94a:20023, Zbl 848.20006.
5. P. Hoffman and J.F. Humphreys, Protective Representations of the Symmetric Groups, Oxford, 1992, MR 94f:20027, Zbl 777.20005.
6. G. James, The Representation Theory of the Symmetric Groups, Springer Lecture Notes Math., 682 (1978), MR 80g:20019, Zbl 393.20009.
7. G. James and A. Kerber, The Representation Theory of the Symmetric Group, Addison-Wesley, London, 1981, MR 83k:20003, Zbl 491.20010.
8. P.B. Kleidman and D.B. Wales, The projective characters of the symmetric groups that remain irreducible on subgroups, J. Algebra, 138 (1991), 440-478, MR 92e:20008, Zbl 792.20012.
9. I.G. Macdonald, Symmetric Functions and Hall Polynomials, 2nd edition, Oxford Univ. Press, Oxford, 1995, MR 96h:05207, Zbl 824.05054.
10. A.O. Morris, The spin representation of the symmetric group, Proc. London Math. Soc., 12(3) (1962), 55-76, MR 25 #133, Zbl 104.25202.
11. A.O. Morris, The spin representation of the symmetric group, Canad. J. Math., 17 (1965), 543-549, MR 31 #240, Zbl 135.05602.
12. J. Saxl, The complex characters of the symmetric groups that remain irreducible in subgroups, J. Algebra, 111 (1987), 210-219, MR 88i:20011, Zbl 633.20008.
13. J. Stembridge, Shifted tableaux and the projective representations of symmetric groups, Adv. Math., 74 (1989), 87-134, MR 90k:20026, Zbl 677.20012.
14. E. Vallejo, On the Kronecker product of irreducible characters of the symmetric group, preprint.
15. I. Zisser, The character covering numbers of the alternating groups, J. Algebra, 153 (1992), 357-372, MR 94b:20021, Zbl 789.20013.