Details

Autor(en) / Beteiligte

• Boys, Clinton
• Mathas, Andrew

Titel

Quiver Hecke algebras for alternating groups

Ist Teil von

• Mathematische Zeitschrift, 2017-04, Vol.285 (3-4), p.897-937

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2017

Link zum Volltext

Quelle

SpringerLink

Beschreibungen/Notizen

• The main result of this paper shows that, over large enough fields of (quantum) characteristic different from 2, the alternating Hecke algebras are Z -graded algebras that are isomorphic to fixed-point subalgebras of the quiver Hecke algebra of the symmetric group  S n . As a special case, this shows that the group algebra of the alternating group, over large enough fields of characteristic different from 2, is a Z -graded algebra. We give a homogeneous presentation for these algebras, compute their graded dimension and show that the blocks of the quiver Hecke algebras of the alternating group are graded symmetric algebras.