Vesselin Stoyanov Drensky | Institute of Mathematics Bulgarian Academy of Sciences...
Topological invariants of stable maps and classification of singularities
| Full text | |
| Author(s): |
Mendonca, Eduardo Monteiro
Total Authors: 1
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| Document type: | Journal article |
| Source: | COMMUNICATIONS IN ALGEBRA; v. 50, n. 12, p. 29-pg., 2022-05-30. |
| Abstract | |
The goal of this article is to study the structure and representation theory of affine wreath product algebras Wr(n)(C)(A) and its cyclotomic quotients Wr(n)(aff)(A). These algebras appear naturally in Heisenberg categorification and generalize many important algebras (degenerate affine Hecke algebras, affine Sergeev algebras and wreath Hecke algebras). The whole class was introduced by D. Rosso and A. Savage in Fla In (19), Savage studied both structure and representations under the condition that the trace map of A is even. In this paper we extend the definition for the case of odd trace. Since our approach is analogous to Savage's, we consider the trace map being of arbitrary parity and unify statements and proofs. We also use an approach based on string diagrams, in the spirit of (5). For simplicity of exposition, we assume A to be symmetric. (AU) | |
| FAPESP's process: | 18/07628-9 - Affine wreath product algebras |
| Grantee: | Eduardo Monteiro Mendonça |
| Support Opportunities: | Scholarships in Brazil - Master |