Lie Subgroup
When F is R or C, SL(n, F) is a Lie subgroup of GL(n, F) of dimension n2 - 1. The Lie algebra of SL(n, F) consists of all n × n matrices over F with vanishing trace. The Lie bracket is given by the commutator.
Read more about this topic: Special Linear Group
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“True Civilization does not lie in gas, nor in steam, nor in turn-tables. It lies in the reduction of the traces of original sin.”
—Charles Baudelaire (1821–1867)