Stratifying Endomorphism Algebras
Edward Cline · Brian Parshall · Leonard L. Scott
Jan 1996 · American Mathematical Society: Memoirs of the American Mathematical Society Book 591 · American Mathematical Soc.
Ebook
119
Pages
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About this ebook
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.
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