Glossary of Group Theory - Other Notions

Other Notions

General linear group, denoted by GL(n, F), is the group of -by- invertible matrices, where the elements of the matrices are taken from a field such as the real numbers or the complex numbers.

Group representation (not to be confused with the presentation of a group). A group representation is a homomorphism from a group to a general linear group. One basically tries to "represent" a given abstract group as a concrete group of invertible matrices which is much easier to study.

Read more about this topic:  Glossary Of Group Theory

Famous quotes containing the word notions:

    The mass believes that it has the right to impose and to give force of law to notions born in the café.
    José Ortega Y Gasset (1883–1955)

    The idea of the sacred is quite simply one of the most conservative notions in any culture, because it seeks to turn other ideas—uncertainty, progress, change—into crimes.
    Salman Rushdie (b. 1947)