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Special linear Lie algebra: Applications, Representation theory & Overview
In mathematics, the special linear Lie algebra of order n {\displaystyle n} over a field F {\displaystyle F} , denoted s l n F {\displaystyle {\mathfrak {sl}}_{n}F} or s l ( n , F ) {\displaystyle {\mathfrak {sl}}(n,F)} , is the Lie algebra of all the n × n {\displaystyle n\times n} matrices (with entries in F {\displaystyle F} ) with trace zero and with…
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