Difference between revisions of "Diagonal group"
From Encyclopedia of Mathematics
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| − | <table><TR><TD valign="top">[1]</TD> <TD valign="top"> M.I. Kargapolov, J.I. [Yu.I. Merzlyakov] Merzljakov, "Fundamentals of the theory of groups" , Springer (1979) (Translated from Russian)</TD></TR></table> | + | <table><TR><TD valign="top">[1]</TD> <TD valign="top"> M.I. Kargapolov, J.I. [Yu.I. Merzlyakov] Merzljakov, "Fundamentals of the theory of groups" , Springer (1979) (Translated from Russian) {{MR|0551207}} {{ZBL|0549.20001}} </TD></TR></table> |
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| − | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> A. Borel, "Linear algebraic groups" , Benjamin (1969)</TD></TR></table> | + | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> A. Borel, "Linear algebraic groups" , Benjamin (1969) {{MR|0251042}} {{ZBL|0206.49801}} {{ZBL|0186.33201}} </TD></TR></table> |
Latest revision as of 10:03, 24 March 2012
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) MR0551207 Zbl 0549.20001 |
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) MR0251042 Zbl 0206.49801 Zbl 0186.33201 |
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