Diagonal group
From Encyclopedia of Mathematics
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.
A group of non-degenerate diagonal matrices. The group of matrices conjugate with a diagonal group is known as a diagonizable linear group.
References
| [1] | M.I. Kargapolov, J.I. [Yu.I. Merzlyakov] Merzljakov, "Fundamentals of the theory of groups" , Springer (1979) (Translated from Russian) |
Comments
For the role of diagonizable groups in the theory of linear algebraic groups (cf. Linear algebraic group) see [a1].
References
| [a1] | A. Borel, "Linear algebraic groups" , Benjamin (1969) |
How to Cite This Entry:
Diagonal group. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Diagonal_group&oldid=18645
Diagonal group. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Diagonal_group&oldid=18645
This article was adapted from an original article by Yu.I. Merzlyakov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article