Details
Original language | English |
---|---|
Pages (from-to) | 3623-3635 |
Number of pages | 13 |
Journal | Transactions of the American Mathematical Society |
Volume | 358 |
Issue number | 8 |
Early online date | 20 Dec 2005 |
Publication status | Published - Aug 2006 |
Abstract
We determine the elementary divisors of the Cartan matrices of spin p-blocks of the covering groups of the symmetric groups when p is an odd prime. As a consequence, we also compute the determinants of these Cartan matrices, and in particular we confirm a conjecture by Brundan and Kleshchev that these determinants depend only on the weight but not on the sign of the block.
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Transactions of the American Mathematical Society, Vol. 358, No. 8, 08.2006, p. 3623-3635.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On cartan matrices and lower defect groups for covering groups of symmetric groups
AU - Bessenrodt, Christine
AU - Olsson, Jørn B.
PY - 2006/8
Y1 - 2006/8
N2 - We determine the elementary divisors of the Cartan matrices of spin p-blocks of the covering groups of the symmetric groups when p is an odd prime. As a consequence, we also compute the determinants of these Cartan matrices, and in particular we confirm a conjecture by Brundan and Kleshchev that these determinants depend only on the weight but not on the sign of the block.
AB - We determine the elementary divisors of the Cartan matrices of spin p-blocks of the covering groups of the symmetric groups when p is an odd prime. As a consequence, we also compute the determinants of these Cartan matrices, and in particular we confirm a conjecture by Brundan and Kleshchev that these determinants depend only on the weight but not on the sign of the block.
UR - http://www.scopus.com/inward/record.url?scp=33746330722&partnerID=8YFLogxK
U2 - 10.1090/S0002-9947-05-03809-2
DO - 10.1090/S0002-9947-05-03809-2
M3 - Article
AN - SCOPUS:33746330722
VL - 358
SP - 3623
EP - 3635
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
SN - 0002-9947
IS - 8
ER -