Cohomological stratification of diagram algebras

Paget, Rowena E. and Hartmann, Robert and Henke, Anne and Koenig, Steffen (2009) Cohomological stratification of diagram algebras. Mathematische Annalen, 347 (4). pp. 765-804. ISSN 0025-5831. (Full text available)

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http://dx.doi.org/10.1007/s00208-009-0458-x

Abstract

The class of cellularly stratified algebras is defined and shown to include large classes of diagram algebras. While the definition is in combinatorial terms, by adding extra structure to Graham and Lehrer’s definition of cellular algebras, various structural properties are established in terms of exact functors and stratifications of derived categories. The stratifications relate ‘large’ algebras such as Brauer algebras to ‘smaller’ ones such as group algebras of symmetric groups. Among the applications are relative equivalences of categories extending those found by Hemmer and Nakano and by Hartmann and Paget, as well as identities between decomposition numbers and cohomology groups of ‘large’ and ‘small’ algebras.

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
Depositing User: Rowena E Paget
Date Deposited: 05 Aug 2010 16:12
Last Modified: 03 Jun 2014 10:14
Resource URI: http://kar.kent.ac.uk/id/eprint/3483 (The current URI for this page, for reference purposes)
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