Generating functions for characters and weight multiplicities of irreducible 𝓈𝓁(4)-modules

Abstract

Generating functions for characters and weight multiplicities of irreducible sl( ( (4 4 4) ) )-modules

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

“…Decomposition of tensor products of representations of simple complex Lie algebras is complicate problem. 1 For the Lie algebras of small rank A 2 , C 2 , G 2 and A 3 some results were obtained in recent papers [FGP1] - [FGP4] (see also references there). For the general case see, for example, papers [Ha], [BD] and references there.…”