Cyclotomic quiver Hecke algebras and Hecke algebra of G(r,p,n)

Abstract : Given a quiver automorphism with nice properties, we give a presentation of the fixed point subalgebra of the associated cyclotomic quiver Hecke algebra. Generalising an isomorphism of Brundan and Kleshchev between the cyclotomic Hecke algebra of type G(r,1,n) and the cyclotomic quiver Hecke algebra of type A, we apply the previous result to find a presentation of the cyclotomic Hecke algebra of type G(r,p,n) which looks very similar to the one of a cyclotomic quiver Hecke algebra. In addition, we give an explicit isomorphism which realises a well-known Morita equivalence between Ariki–Koike algebras.
Document type :
Journal articles
Complete list of metadatas

Cited literature [36 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01794939
Contributor : Salim Rostam <>
Submitted on : Thursday, December 20, 2018 - 3:28:17 PM
Last modification on : Thursday, February 7, 2019 - 5:11:41 PM
Long-term archiving on : Friday, March 22, 2019 - 10:42:34 AM

Files

arXiv_v3.pdf
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution - NonCommercial - NoDerivatives 4.0 International License

Identifiers

Citation

Salim Rostam. Cyclotomic quiver Hecke algebras and Hecke algebra of G(r,p,n). Transactions of the American Mathematical Society, American Mathematical Society, 2019, 371 (6), pp.3877-3916. ⟨10.1090/tran/7485⟩. ⟨hal-01794939v2⟩

Share

Metrics

Record views

48

Files downloads

52