Semantic Scholar Open Access 2007 16 sitasi

The product in the Hochschild cohomology ring of preprojective algebras of Dynkin quivers

C. Eu

Lihat Sumber DOI

Abstrak

Abstract In this paper, we compute the cup product structure of the preprojective algebra Dynkin quivers of type D and E over a field of characteristic zero. This is a continuation of the work done in [P. Etingof, C. Eu, Hochschild and cyclic homology of preprojective algebras of ADE quivers, arXiv: math.AG/0609006 ] where the additive structure of the Hochschild cohomology (together with its grading) was computed. Together with the results in [K. Erdmann, N. Snashall, On Hochschild cohomology of preprojective algebras. I, J. Algebra 205 (2) (1998) 391–412, II, J. Algebra 205 (2) (1998) 413–434] (where the A -case was studied), this yields a complete description of the product in the Hochschild cohomology of ADE quivers over a field of characteristic zero.

Topik & Kata Kunci

Mathematics

Penulis (1)

C. Eu

Format Sitasi

APA MLA BibTeX

Eu, C. (2007). The product in the Hochschild cohomology ring of preprojective algebras of Dynkin quivers. https://doi.org/10.1016/J.JALGEBRA.2008.02.020

Akses Cepat

Lihat di Sumber doi.org/10.1016/J.JALGEBRA.2008.02.020

Informasi Jurnal

Tahun Terbit: 2007
Bahasa: en
Total Sitasi: 16×
Sumber Database: Semantic Scholar
DOI: 10.1016/J.JALGEBRA.2008.02.020
Akses: Open Access ✓