## Tsukuba Journal of Mathematics

### Representations of normalizer subgroups of maximal tori of the classical group of type C

Makoto Takahashi

#### 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

https://projecteuclid.org/euclid.tkbjm/1251833204

Digital Object Identifier
doi:10.21099/tkbjm/1251833204

Mathematical Reviews number (MathSciNet)
MR2553835

Zentralblatt MATH identifier
1217.22012

#### 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