The Bershadsky-Polyakov algebras are the minimal quantum hamiltonian reductions of affine vertex associated to $\mathfrak{sl}_3$ and their simple quotients have a long history applications in conformal field theory string theory. Their representation theories therefore quite interesting. Here, we classify relaxed highest-weight modules, with finite-dimensional weight spaces, for all admissible ...

The consequences of the attractive, short-range nucleon–nucleon (NN) interaction on wave functions Elliott SU(3) and proxy-SU(3) symmetry are discussed. NN favors most symmetric spatial irreducible representation, which corresponds to maximal overlap among fermions. percentage components out total in an function is introduced, through it found, that no irrep more than highest weight for a certa...