Phantom maps and purity in modular representation theory, II

David John Benson; D. G. P. Gnacadja

doi:10.1023/A:1012475019810

Phantom maps and purity in modular representation theory, II

David John Benson, D. G. P. Gnacadja

Mathematical Science

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

In the second part of this paper, we use the theory described in the first part to construct an example of a counterintuitive phenomenon. We show how to produce examples of filtered systems in the stable module category stmod(kG) which do not lift to filtered systems in the module category mod(kG). Our main tool is the Extended Milnor Sequence, a five-term exact sequence which specializes to the classical Milnor sequence under certain countability conditions.

Original language	English
Pages (from-to)	395-404
Number of pages	9
Journal	Algebras and Representation Theory
Volume	4
DOIs	https://doi.org/10.1023/A:1012475019810
Publication status	Published - 2001

Keywords

phantom maps
modular representation theory
extended Milnor sequence

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AU - Gnacadja, D. G. P.

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AB - In the second part of this paper, we use the theory described in the first part to construct an example of a counterintuitive phenomenon. We show how to produce examples of filtered systems in the stable module category stmod(kG) which do not lift to filtered systems in the module category mod(kG). Our main tool is the Extended Milnor Sequence, a five-term exact sequence which specializes to the classical Milnor sequence under certain countability conditions.

KW - phantom maps

KW - modular representation theory

KW - extended Milnor sequence

U2 - 10.1023/A:1012475019810

DO - 10.1023/A:1012475019810

M3 - Article

SN - 1386-923X

VL - 4

SP - 395

EP - 404

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

ER -

Phantom maps and purity in modular representation theory, II

Abstract

Keywords

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