From a Kac algebra subfactor to Drinfeld double

DOI10.1063/1.5095497zbMath1416.81079arXiv1812.05071OpenAlexW3099720649MaRDI QIDQ5228050

Sandipan De

Publication date: 8 August 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.05071

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) General theory of von Neumann algebras (46L10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Subfactors and their classification (46L37)

Related Items (1)

Quantum double inclusions associated to a family of Kac algebra subfactors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Note on infinite iterated crossed products of Hopf algebras and the Drinfeld double.
• The planar algebra of a semisimple and cosemisimple Hopf algebra
• A duality theorem for Hopf module algebras
• The planar algebra associated to a Kac algebra
• The structure of sectors associated with Longo-Rehren inclusions. I: General theory
• Planar algebras, cabling and the Drinfeld double
• From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors
• FROM SUBFACTOR PLANAR ALGEBRAS TO SUBFACTORS
• CONSTRUCTION OF AN OUTER ACTION OF A FINITE-DIMENSIONAL KAC ALGEBRA ON THE AFD FACTOR OF TYPE II₁
• THE STRUCTURE OF SECTORS ASSOCIATED WITH LONGO–REHREN INCLUSIONS II: EXAMPLES
• ON JONES' PLANAR ALGEBRAS
• ON OCNEANU'S THEORY OF ASYMPTOTIC INCLUSIONS FOR SUBFACTORS, TOPOLOGICAL QUANTUM FIELD THEORIES AND QUANTUM DOUBLES

This page was built for publication: From a Kac algebra subfactor to Drinfeld double