Duflo involutions for 2-categories associated to tree quivers

DOI10.1142/S0219498816500419zbMath1375.18038arXiv1501.03052OpenAlexW2963743192MaRDI QIDQ2796994

Xiaoting Zhang

Publication date: 30 March 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.03052

zbMATH Keywords

quiverfinitary 2-categoryDuflo involution

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Bimodules in associative algebras (16D20)

Related Items (14)

Fiat categorification of the symmetric inverse semigroup \(IS_n\) and the semigroup \(F^*_n\) ⋮ Simple transitive 2-representations for some 2-subcategories of Soergel bimodules ⋮ Simple transitive 2-representations of Soergel bimodules in type \(B_{2}\) ⋮ Multisemigroups with multiplicities and complete ordered semi-rings ⋮ Simple transitive 2-representations and Drinfeld center for some finitary 2-categories ⋮ Classification problems in 2-representation theory ⋮ On simple transitive 2-representations of bimodules over the dual numbers ⋮ Bimodules over uniformly oriented \(A_n\) quivers with radical square zero ⋮ ANALOGUES OF CENTRALIZER SUBALGEBRAS FOR FIAT 2-CATEGORIES AND THEIR 2-REPRESENTATIONS ⋮ Simple transitive 2-representations of small quotients of Soergel bimodules ⋮ Simple transitive 2-representations via (co)algebra 1-morphisms ⋮ Characterisation and applications of $\Bbbk$-split bimodules ⋮ Simple transitive 2-representations for two nonfiat 2-categories of projective functors ⋮ Diagrams and discrete extensions for finitary 2-representations

Cites Work

• Unnamed Item
• Unnamed Item
• Morita theory for finitary 2-categories
• Lectures on algebraic categorification
• Isotypic faithful 2-representations of \(\mathcal J\)-simple fiat 2-categories
• A categorification of the Temperley-Lieb algebra and Schur quotients of \(U(\mathfrak{sl}_2)\) via projective and Zuckerman functors
• A categorification of quantum \(\text{sl}(n)\)
• Transitive $2$-representations of finitary $2$-categories
• Additive versus abelian 2-representations of fiat 2-categories
• Cell 2-representations of finitary 2-categories

This page was built for publication: Duflo involutions for 2-categories associated to tree quivers