Prefer a chat interface with context about you and your work?
Partition algebras Pk(n) with 2k>n and the fundamental theorems of invariant theory for the symmetric group Sn
Assume M n is the n-dimensional permutation module for the symmetric group S n , and let M n ⊗ k be its k-fold tensor power. The partition algebra P k ( n ) maps surjectively onto the centralizer algebra End S n ( M n ⊗ k ) for …