Tilting equivalences: from hereditary algebras to symmetric groups

W. Turner

doi:10.1016/j.jalgebra.2008.02.015

Tilting equivalences: from hereditary algebras to symmetric groups

W. Turner

Mathematical Science

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

5 Citations (Scopus)

Abstract

We study Koszul duality for finite dimensional hereditary algebras, and various generalisations to trivial extension algebras, to Schur algebras, to doubles of Schur bialgebras, and to deformations of doubles of Schur bialgebras. We describe applications to the modular representation theory of symmetric groups.

Original language	English
Pages (from-to)	3975-4007
Number of pages	33
Journal	Journal of Algebra
Volume	319
Issue number	10
Early online date	14 Mar 2008
DOIs	https://doi.org/10.1016/j.jalgebra.2008.02.015
Publication status	Published - 15 May 2008

Keywords

Schur algebras
Koszul algebras
Koszul duality

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10.1016/j.jalgebra.2008.02.015

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title = "Tilting equivalences: from hereditary algebras to symmetric groups",

abstract = "We study Koszul duality for finite dimensional hereditary algebras, and various generalisations to trivial extension algebras, to Schur algebras, to doubles of Schur bialgebras, and to deformations of doubles of Schur bialgebras. We describe applications to the modular representation theory of symmetric groups.",

keywords = "Schur algebras, Koszul algebras, Koszul duality",

author = "W. Turner",

year = "2008",

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doi = "10.1016/j.jalgebra.2008.02.015",

language = "English",

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journal = "Journal of Algebra",

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T1 - Tilting equivalences

T2 - from hereditary algebras to symmetric groups

AU - Turner, W.

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N2 - We study Koszul duality for finite dimensional hereditary algebras, and various generalisations to trivial extension algebras, to Schur algebras, to doubles of Schur bialgebras, and to deformations of doubles of Schur bialgebras. We describe applications to the modular representation theory of symmetric groups.

AB - We study Koszul duality for finite dimensional hereditary algebras, and various generalisations to trivial extension algebras, to Schur algebras, to doubles of Schur bialgebras, and to deformations of doubles of Schur bialgebras. We describe applications to the modular representation theory of symmetric groups.

KW - Schur algebras

KW - Koszul algebras

KW - Koszul duality

U2 - 10.1016/j.jalgebra.2008.02.015

DO - 10.1016/j.jalgebra.2008.02.015

M3 - Article

SN - 0021-8693

VL - 319

SP - 3975

EP - 4007

JO - Journal of Algebra

JF - Journal of Algebra

IS - 10

ER -

Tilting equivalences: from hereditary algebras to symmetric groups

Abstract

Keywords

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