Anderson and Gorenstein Duality

Greenlees, J. P. C.; Stojanoska, Vesna

doi:10.1007/978-3-319-94033-5_5

Springer Proceedings in Mathematics &Amp; Statistics

2018

DOI: 10.1007/978-3-319-94033-5_5

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Anderson and Gorenstein Duality

J. P. C. Greenlees

Vesna Stojanoska

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2022

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“…For brevity, we have recorded the shift as |ξ 1 | = 2a − 1, however in the presence of the τ -periodicity, this is only well defined modulo 2b. It is more helpful to say that the shift in Tate duality is one less than the Gorenstein shift (2a − 2b in this case) of A as in[24, Proposition 4.1].…”

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The Singularity and Cosingularity Categories of C∗BG for Groups with Cyclic Sylow p-subgroups

Benson

Greenlees

2022

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We construct a differential graded algebra (DGA) modelling certain $A_{\infty }$ A ∞ algebras associated with a finite group G with cyclic Sylow subgroups, namely H∗BG and $H_{*}{\Omega } BG{^{^{\wedge }}_p}$ H ∗ Ω B G p ∧ . We use our construction to investigate the singularity and cosingularity categories of these algebras. We give a complete classification of the indecomposables in these categories, and describe the Auslander–Reiten quiver. The theory applies to Brauer tree algebras in arbitrary characteristic, and we end with an example in characteristic zero coming from the Hecke algebras of symmetric groups.

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The Singularity and Cosingularity Categories of C∗BG for Groups with Cyclic Sylow p-subgroups

Benson

Greenlees

2022

Algebr Represent Theor

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The local cohomology spectral sequence for topological modular forms

2022

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Anderson and Gorenstein Duality

Cited by 2 publications

References 13 publications

The Singularity and Cosingularity Categories of C∗BG for Groups with Cyclic Sylow p-subgroups

The Singularity and Cosingularity Categories of C∗BG for Groups with Cyclic Sylow p-subgroups

The local cohomology spectral sequence for topological modular forms

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