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Completions of Cellular Algebras

R. M. Green
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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.

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R. M. Green. 1999-02-15. Completions of Cellular Algebras. https://arxiv.org/abs/math/9902096

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