One of the algorithms of the external degree calculation of representation π2 of Lie algebra А N

Decomposition of representations into irreducible is one of the most laborious tasks of representation theory. Computer application in combination with modern programming languages and subprograms libraries for high-precision numerical calculation allows getting expansions of high order powers. This paper presents the algorithm for finding irreducible components of the external degrees of the simplest representation π2 of Lie algebra Α n .