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arxiv: 1903.11384 · v1 · pith:MWJ6VIOPnew · submitted 2019-03-19 · 🧮 math.RT

Euler's difference table and decomposition of tensor powers of adjoint representation of A_n Lie algebra

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keywords adjointalgebradecompositiondifferenceeulerrepresentationtabletensor
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By using of Euler's difference table, we obtain simple explicit formula for the decomposition of $k$-th tensor power of adjoint representation of $A_n$ Lie algebra at $2 k \le{n+1}$.

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