Tsukuba Journal of Mathematics
- Tsukuba J. Math.
- Volume 33, Number 1 (2009), 1-28.
Representations of normalizer subgroups of maximal tori of the classical group of type C
Abstract
We study representations of the normalizer subgroup $N$ of a maximal torus of the classical group of type C, $Sp(n)$. We obtain a formula of the irreducible characters of $N$, and give the branching rule from $Sp(n)$ to $N$.
Article information
Source
Tsukuba J. Math., Volume 33, Number 1 (2009), 1-28.
Dates
First available in Project Euclid: 1 September 2009
Permanent link to this document
https://projecteuclid.org/euclid.tkbjm/1251833204
Digital Object Identifier
doi:10.21099/tkbjm/1251833204
Mathematical Reviews number (MathSciNet)
MR2553835
Zentralblatt MATH identifier
1217.22012
Subjects
Primary: 22E46: Semisimple Lie groups and their representations 20C15: Ordinary representations and characters
Keywords
classical group of type C normalizer of maximal torus representation branching rule
Citation
Takahashi, Makoto. Representations of normalizer subgroups of maximal tori of the classical group of type C. Tsukuba J. Math. 33 (2009), no. 1, 1--28. doi:10.21099/tkbjm/1251833204. https://projecteuclid.org/euclid.tkbjm/1251833204
