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On the Representation Theory of Partial Brauer Algebras
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2014 (English)In: Quarterly Journal of Mathematics, ISSN 0033-5606, E-ISSN 1464-3847, Vol. 65, no 1, 225-247 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, we study the partial Brauer C-algebras R-n(delta, delta'), where n is an element of N and delta, delta' is an element of C. We show that these algebras are generically semisimple, construct the Specht modules and determine the Specht module restriction rules for the restriction Rn-1 (sic) R-n. We also determine the corresponding decomposition matrix and the Cartan decomposition matrix.

Place, publisher, year, edition, pages
2014. Vol. 65, no 1, 225-247 p.
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:uu:diva-227208DOI: 10.1093/qmath/has043ISI: 000332044200013OAI: oai:DiVA.org:uu-227208DiVA: diva2:729681
Available from: 2014-06-26 Created: 2014-06-24 Last updated: 2017-12-05Bibliographically approved

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Mazorchuk, Volodymyr

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