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Stratifying Endomorphism Algebras
Edward ClineBrian ParshallLeonard L. Scott
出版American Mathematical Soc., 1996
主題Mathematics / Algebra / GeneralMathematics / Algebra / LinearMathematics / Group Theory
ISBN082180488X9780821804889
URLhttp://books.google.com.hk/books?id=oHzTCQAAQBAJ&hl=&source=gbs_api
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註釋This paper presents a systematic study of the relationships between the representation theories of [italic capital]R and [italic capital]A, especially those involving actual or potential quasi-hereditary structures on the latter algebra. Our original motivation comes from the theory of Schur algebras, work of Soergel on the Bernstein-Gelfand-Gelfand category [script capital]O, and resent results of Dlab-Heath-Marko realizing certain endomorphism algebras as quasi-hereditary algebras. We synthesize common features of all these examples, and go beyond them in a number of new directions.