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

Abstract

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 $2k\le n+1$.

4 pages

References in corpus (2)

• Generating functions and multiplicity formulas: the case of rank two simple Lie algebras
• Some results on generating functions for characters and weight multiplicities of the Lie algebra $A_3$