uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
Cell 2-representations of finitary 2-categories
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
2011 (English)In: Compositio Mathematica, ISSN 0010-437X, E-ISSN 1570-5846, Vol. 147, no 5, 1519-1545 p.Article in journal (Refereed) Published
Abstract [en]

We study 2-representations of finitary 2-categories with involution and adjunctions by functors on module categories over finite-dimensional algebras. In particular, we define, construct and describe in detail (right) cell 2-representations inspired by Kazhdan-Lusztig cell modules for Hecke algebras. Under some natural assumptions we show that cell 2-representations are strongly simple and do not depend on the choice of a right cell inside a two-sided cell. This reproves and extends the uniqueness result on categorification of Kazhdan-Lusztig cell modules for Hecke algebras of type A. from [V. Mazorchuk and C. Stroppel, Categorification of (induced) cell modules and the rough structure of generalised Verma modules, Adv. Math. 219 (2008), 1363-1426].

Place, publisher, year, edition, pages
2011. Vol. 147, no 5, 1519-1545 p.
Keyword [en]
2-category, cell module, categorification, action, functor, natural transformation, category with full projective functors, finite-dimensional algebra
National Category
URN: urn:nbn:se:uu:diva-161603DOI: 10.1112/S0010437X11005586ISI: 000296112500009OAI: oai:DiVA.org:uu-161603DiVA: diva2:457755
Available from: 2011-11-19 Created: 2011-11-15 Last updated: 2011-11-19Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Mazorchuk, Volodymyr
By organisation
Algebra, Geometry and Logic
In the same journal
Compositio Mathematica

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 146 hits
ReferencesLink to record
Permanent link

Direct link