DOAJ Open Access 2020

McKay Centralizer Algebras

Georgia Benkart Tom Halverson

Lihat Sumber DOI

Abstrak

For a finite subgroup G of the special unitary group SU2, we study the centralizer algebra Zk(G) = EndG(V⊗k) of G acting on the k-fold tensor product of its defining representation V = C2. The McKay corre- spondence relates the representation theory of these groups to an associated affine Dynkin diagram, and we use this connection to study the structure and representation theory of Zk(G) via the combinatorics of the Dynkin diagram. When G equals the binary tetrahedral, octahedral, or icosahedral group, we exhibit remarkable connections between Zk (G) and the Martin-Jones set partition algebras.

Topik & Kata Kunci

Mathematics

Penulis (2)

Georgia Benkart

Tom Halverson

Format Sitasi

APA MLA BibTeX

Benkart, G., Halverson, T. (2020). McKay Centralizer Algebras. https://doi.org/10.46298/dmtcs.6360

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6360

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6360
Akses: Open Access ✓