22 citations · 69 across the 16 of their papers we have counts for
21 papers
Semisimplicity Criteria for algebras with a Jones Basic Construction
Frederick M. Goodman, Hans Wenzl
We prove a semisimplicity criterion for a large class of algebras by a new method. This can be applied to Brauer, BMW, and -Brauer algebras.
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…
A cell filtration of the restriction of a cell module
Frederick M. Goodman, Ross Kilgore, Nicholas Teff
We give a new proof that the restriction of a cell module of the Hecke algebra of the symmetric group on letters, to the Hecke algebra of the symmetric group on letters,…
Cellularity of Wreath Product Algebras and --Brauer algebras
T. Geetha, Frederick M. Goodman
A cellular algebra is called cyclic cellular if all cell modules are cyclic. Most important examples of cellular algebras appearing in representation theory are in fact cyclic cell…
Cellular bases for algebras with a Jones basic construction
John Enyang, Frederick M. Goodman
We define a method which produces explicit cellular bases for algebras obtained via a Jones basic construction. For the class of algebras in question, our method gives formulas for…