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Affine wreath product algebras

Grant number: 18/07628-9
Support Opportunities:Scholarships in Brazil - Master
Effective date (Start): June 01, 2018
Effective date (End): June 30, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Acordo de Cooperação: Coordination of Improvement of Higher Education Personnel (CAPES)
Principal Investigator:Iryna Kashuba
Grantee:Eduardo Monteiro Mendonça
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:14/09310-5 - Algebraic structures and their representations, AP.TEM
Associated scholarship(s):19/03015-5 - Representations of affine wreath product algebras, BE.EP.MS

Abstract

This project is for Master program in the area of algebra. The goal of this project is to study the structure and representation theory of affine wreath product algebras. These algebras appear naturally in Heisenberg categorification and generalize many important algebras (degenerate Hecke algebras, affine Sergeev algebras and wreath Hecke algebras). The whole class was introduced by D. Rosso and A. Savage and then the second author studied both structure and representations under the condition that the trace map F in the definition of the affine wreath product algebra is even. We would like to investigate what will happen for "odd wreath product algebras". (AU)

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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)
MENDONCA, EDUARDO MONTEIRO. Affine wreath product algebras with trace maps of generic parity. COMMUNICATIONS IN ALGEBRA, v. 50, n. 12, p. 29-pg., . (18/07628-9)
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
MENDONÇA, Eduardo Monteiro. Affine wreath product algebras with trace maps of generic parity. 2020. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) São Paulo.

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