A primary obstruction to topological embeddings between generalized manifolds
Associative, alternative, Jordan algebras and their subalgebras of invariants
From interacting particle systems to topological data analysis
| Grant number: | 16/00541-0 |
| Support Opportunities: | Regular Research Grants |
| Start date: | May 01, 2016 |
| End date: | April 30, 2018 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Principal Investigator: | Artem Lopatin |
| Grantee: | Artem Lopatin |
| Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
Abstract
The algebra of GL(n)-invariants of several matrices over a field of characteristic zero is generated by traces of products of generic matrices. In the general case, the structure of this algebra is quite complicated and it lack ``good''{} properties. The conditions when this algebra is polynomial or complete intersection are well-known. We will consider the same problem for orthogonal and symplectic invariants of matrices. We will also study the mentioned problem for invariants of the generalized representations of quivers. (AU)
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