| Grant number: | 18/07628-9 |
| Support Opportunities: | Scholarships in Brazil - Master |
| Start date: | June 01, 2018 |
| End date: | June 30, 2020 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Agreement: | 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) | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
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