Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Completions of cellular algebras.
AU - Green, R. M
AU - Fan, C. K.
PY - 1999
Y1 - 1999
N2 - 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 “proflnite type”. We show how these notions overcome some known obstructions to the theory of cellular agebras in infinite dimensions.
AB - 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 “proflnite type”. We show how these notions overcome some known obstructions to the theory of cellular agebras in infinite dimensions.
U2 - 10.1080/00927879908826759
DO - 10.1080/00927879908826759
M3 - Journal article
VL - 27
SP - 5349
EP - 5366
JO - Communications in Algebra
JF - Communications in Algebra
SN - 0092-7872
IS - 11
ER -