Koszul, Ringel and Serre duality for strict polynomial functors

Krause H (2013)
Compositio Mathematica 149(6): 996-1018.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
This is a report on recent work of Chalupnik and Touze. We explain the Koszul duality for the category of strict polynomial functors and make explicit the underlying monoidal structure which seems to be of independent interest. Then we connect this to Ringel duality for Schur algebras and describe Serre duality for strict polynomial functors.
Stichworte
Ringel duality; polynomial representation; strict polynomial functor; Schur algebra; Serre duality; Koszul duality; divided power
Erscheinungsjahr
2013
Zeitschriftentitel
Compositio Mathematica
Band
149
Ausgabe
6
Seite(n)
996-1018
ISSN
0010-437X
Page URI
https://pub.uni-bielefeld.de/record/2612843

Zitieren

Krause H. Koszul, Ringel and Serre duality for strict polynomial functors. Compositio Mathematica. 2013;149(6):996-1018.
Krause, H. (2013). Koszul, Ringel and Serre duality for strict polynomial functors. Compositio Mathematica, 149(6), 996-1018. doi:10.1112/S0010437X12000814
Krause, H. (2013). Koszul, Ringel and Serre duality for strict polynomial functors. Compositio Mathematica 149, 996-1018.
Krause, H., 2013. Koszul, Ringel and Serre duality for strict polynomial functors. Compositio Mathematica, 149(6), p 996-1018.
H. Krause, “Koszul, Ringel and Serre duality for strict polynomial functors”, Compositio Mathematica, vol. 149, 2013, pp. 996-1018.
Krause, H.: Koszul, Ringel and Serre duality for strict polynomial functors. Compositio Mathematica. 149, 996-1018 (2013).
Krause, Henning. “Koszul, Ringel and Serre duality for strict polynomial functors”. Compositio Mathematica 149.6 (2013): 996-1018.

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arXiv: 1203.0311

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