Infinite symmetric groups and combinatorial constructions of topological field theory type

• Grant number: 15/03341-9
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree
• Start date: September 01, 2015
• End date: February 29, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Alice Kimie Miwa Libardi
• Grantee: Pablo Gonzalez Pagotto
• Supervisor: Louis Funar
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Institution abroad: Université Joseph Fourier, France
• Associated to the scholarship: 13/22249-0 - A Classification Theorem for Fibre Spaces, BP.MS

Abstract

The theory of the Thoma factor-representations and representations of the bisymmetric groupwere considered as a limit of the classical representation theory. In the work of Neretin there was observed that a multiplication of double cosets and a multiplicativity theorem are highly general phenomena for infinite-dimensional groups. The main obstacle was a description of double cosets, which for symmetric groups was obtained by Neretin and Gaifullin. The main topic of the proposal is a geometric description of various train categories in terms of "topological field theories". (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

GONZALEZ PAGOTTO, PABLO. A Product on Double Cosets of B-infinity. Symmetry Integrability and Geometry-Methods and Applications, v. 14, 2018. (15/03341-9)