Basic characters of the unitriangular group (for arbitrary primes)
C André - Proceedings of the American Mathematical Society, 2002 - ams.org
Proceedings of the American Mathematical Society, 2002•ams.org
Let $ U_ {n}(q) $ denote the (upper) unitriangular group of degree $ n $ over the finite field
$\mathbb {F} _ {q} $ with $ q $ elements. In this paper we consider the basic (complex)
characters of $ U_ {n}(q) $ and we prove that every irreducible (complex) character of $ U_
{n}(q) $ is a constituent of a unique basic character. This result extends a previous result
which was proved by the author under the assumption $ p\geq n $, where $ p $ is the
characteristic of the field $\mathbb {F} _ {q} $. References
$\mathbb {F} _ {q} $ with $ q $ elements. In this paper we consider the basic (complex)
characters of $ U_ {n}(q) $ and we prove that every irreducible (complex) character of $ U_
{n}(q) $ is a constituent of a unique basic character. This result extends a previous result
which was proved by the author under the assumption $ p\geq n $, where $ p $ is the
characteristic of the field $\mathbb {F} _ {q} $. References
Abstract
Let denote the (upper) unitriangular group of degree over the finite field with elements. In this paper we consider the basic (complex) characters of and we prove that every irreducible (complex) character of is a constituent of a unique basic character. This result extends a previous result which was proved by the author under the assumption , where is the characteristic of the field . References
ams.org
以上显示的是最相近的搜索结果。 查看全部搜索结果