Completions of Cellular Algebras
Quantum Algebra
2007-05-23 v1 Representation Theory
Abstract
We introduce procellular algebras, so called because they are inverse limits of finite dimensional cellular algebras as defined by Graham and Lehrer. A procellular algebra is defined as a certain completion of an infinite dimensional cellular algebra whose cell datum is of ``profinite type''. We show how these notions overcome some known obstructions to the theory of cellular algebras in infinite dimensions.
Keywords
Cite
@article{arxiv.math/9902096,
title = {Completions of Cellular Algebras},
author = {R. M. Green},
journal= {arXiv preprint arXiv:math/9902096},
year = {2007}
}
Comments
19 pages, AMSTeX