Completions of Cellular Algebras

Details Completions of Cellular Algebras Completions of Cellular Algebras

1999-02-15

arxiv.org/abs/math/9902096v1

Mathematics

Quantum Algebra

19 pages, AMSTeX

Scientific paper

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.

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