36 citations · 77 across the 7 of their papers we have counts for
4 papers · 2 filters
Diagram algebras, dominance triangularity, and skew cell modules
Christopher Bowman, John Enyang, Frederick Goodman
We present an abstract framework for the axiomatic study of diagram algebras. Algebras that fit this framework possess analogues of both the Murphy and seminormal bases of the Heck…
The cellular second fundamental theorem of invariant theory for classical groups
Christopher Bowman, John Enyang, Frederick Goodman
We prove that the centralizer algebras of the symplectic and orthogonal group acting on tensor space are cellular algebras over the integers. We do this by providing an axiomatic f…
Simple modules for the partition algebra and monotone convergence of Kronecker coefficients
C. Bowman, M. De Visscher, J. Enyang
We construct bases of the simple modules for partition algebras which are indexed by paths in an alcove geometry. This allows us to give a concrete interpretation (and new proof) o…
Skew cell modules for diagram algebras
C. Bowman, J. Enyang
We provide an explicit construction of skew cell modules for diagram algebras.