special linear group
Given a vector space , the special linear group is defined to be the subgroup of the general linear group consisting of all invertible linear transformations in that have determinant 1.
If for some field , then the group is often denoted or , and if one identifies each linear transformation with its matrix with respect to the standard basis, then consists of all matrices with entries in that have determinant 1.
Title | special linear group |
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Canonical name | SpecialLinearGroup |
Date of creation | 2013-03-22 12:25:38 |
Last modified on | 2013-03-22 12:25:38 |
Owner | djao (24) |
Last modified by | djao (24) |
Numerical id | 7 |
Author | djao (24) |
Entry type | Definition |
Classification | msc 20G15 |
Synonym | SL |
Related topic | GeneralLinearGroup |
Related topic | Group |
Related topic | UnimodularMatrix |