Representation theory of towers of recollement: Theory, notes, and examples

By A. Cox, Paul P. Martin, A. Parker, Changchang Xi. 2004

50 citations recorded by the source corpus.

We give an axiomatic framework for studying the representation theory of towers of algebras. We introduce a new class of algebras, contour algebras, generalising (and interpolating between) blob algebras and cyclotomic Temperley–Lieb algebras. We demonstrate the utility of our formalism by applying it to this class.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/bffd7f046d9fd2a4fc807ec597fa65d14f495bc9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. A. Cox
2. Paul P. Martin
3. M. Visscher

In Geometry and Topology

1. A. Cox
2. M. Visscher
3. Paul P. Martin

In Mathematical Physics

1. M. Visscher
2. A. Cox
3. Paul P. Martin

Citations in the corpus

• The blocks of the Brauer algebra in characteristic zero (2006, methodology): “The necessary results coming from the general theory in [ CMPX ] now have to be verified on an ad hoc basis, but this has been carried out in [DWH99].”