Box splines, tensor product multiplicities and the volume function
Box splines, tensor product multiplicities and the volume function
We study the relationship between the tensor product multiplicities of a compact semisimple Lie algebra 𝔤 and a special function 𝒥 associated to 𝔤, called the volume function. The volume function arises in connection with the randomized Horn's problem in random matrix theory and has a related significance in symplectic …