Coxeter functors without diagrams

Auslander, Maurice; Platzeck, María Inés; Reiten, Idun

doi:10.1090/S0002-9947-1979-0530043-2

Coxeter functors without diagrams
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by Maurice Auslander, María Inés Platzeck and Idun Reiten PDF

Trans. Amer. Math. Soc. 250 (1979), 1-46 Request permission

Abstract:

The first part of this paper is devoted to a generalization of the notion of partial Coexeter functor from diagrams to certain types of artin rings and artin algebras. The rest of the paper is devoted to a discussion of the connection between the various Coxeter functors which exist for diagrams as well as for artin rings and artin algebras.

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