Work

On a subfactor generalization of Wall's conjecture

Year: 2010

Type: preprint

Abstract: In this paper we discuss a conjecture on intermediate subfactors which is a generalization of Wall's conjecture from the theory of finite groups. We explore special cases of this conjecture and present supporting evidence. In particular we prove special cases of this conjecture related to some finite dimensional Kac Algebras of Izumi-Kosaki type which include relative version of Wall's conjecture for solvable groups.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1006.5947

Authors: Guralnick, Robert, Xu, Feng

Institutions: University of Southern California, University of California, Riverside

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Awards: Representations and Presentations of Finite Groups and Coverings of Curves, Presentations, Cohomology and Representations of Finite Groups and Coverings of Curves, Subfactors and conformal field theories

OpenAlex ID: W2953033279

Cites: 15

Cited by: 4

Related to: 10