Abstract O-06

Abstract OO Big O

OO Big O Joan Krone Denison University Department of Math and CS Granville, Ohio 43023 740-587-6484 [email protected] W. F. Ogden The Ohio State University Neal Avenue Columbus, Ohio 43210 614-292-6007 [email protected] SUMMARY When traditional Big O analysis is rigorously applied to object oriented software, several deficiencies quickly manifest themselves. Because the traditional defin...

Ja n 20 06 CATEGORY O OVER SKEW GROUP RINGS

We study the BGG Category O over a skew group ring, involving a finite group acting on a regular triangular algebra. We relate the representation theory of the algebra to Clifford theory for the skew group ring, and obtain results on block decomposition, semisimplicity, and enough projectives. O is also shown to be a highest weight category; the BGG Reciprocity formula is slightly different bec...

abstract

ABSTRACT

Abstract

Abstract