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Standardly Stratified Algebras and Tilting

✍ Scribed by István Ágoston; Dieter Happel; Erzsébet Lukács; Luise Unger

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
130 KB
Volume
226
Category
Article
ISSN
0021-8693

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✦ Synopsis

The concept of the characteristic tilting module and of the Ringel dual for quasihereditary algebras is generalized for the setting of standardly stratified algebras.

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We give an explicit two sided tilting complex between two Green orders having Ž the same structural data as they were defined by K. W. Roggenkamp. 1992, Comm. Algebra 20, 1715᎐1734;and 1994, in ''Finite Dimensional Algebras and . Related Topics,'' pp. 265᎐276, Kluwer Academic, DordrechtrNorwell, MA

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Let E denote the natural module for the general linear group GL k n over an infinite field k of non-zero characteristic p. We consider here modules which are direct summands of the dth tensor power E md . The original motivation was to study the free Lie algebra. Let L be the d homogeneous component