8 citations · 18 across the 6 of their papers we have counts for
6 papers
On the non-generic representation theory of the symplectic blob algebra
R. M. Green, P. P. Martin, A. E. Parker
This paper reports some advances in the study of the symplectic blob algebra. We find a presentation for this algebra. We find a minimal poset for this as a quasi-hereditary algebr…
Pascal's triangle and word bases for blob algebra ideals
P P Martin
We give an elementary proof of isomorphism of the blob (diagram) algebra and the corresponding extended Temperley-Lieb algebra (defined by presentation).
Constructing cell data for diagram algebras
R. M. Green, P. P. Martin
We show how the treatment of cellularity in families of algebras arising from diagram calculi, such as Jones' Temperley--Lieb wreaths, variants on Brauer's centralizer algebras, an…
A faithful tensor space representation for the blob algebra
P P Martin
We show that a certain tensor space representation of the blob algebra (an affine Hecke algebra quotient) is faithful.
Virtual algebraic Lie theory: Tilting modules and Ringel duals for blob algebras
P P Martin, S Ryom-Hansen
We construct a representation of the blob algebra over a ring allowing base change to every interesting (i.e. non--semisimple) specialisation which, in quasihereditary specialisati…
Ramified partition algebras
P P Martin, A Elgamal
We introduce the ramified partition algebra, which is a physically motivated and natural generalization of the partition algebra. We investigate its representation theory and demon…