Center of twisted graded Hecke algebras for homocyclic groups.

DOI10.3842/SIGMA.2014.098zbMATH Open1303.20003arXiv1403.6817OpenAlexW2150259086MaRDI QIDQ462648

Matthew Highfield, Wee Liang Gan

Publication date: 21 October 2014

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Abstract: We determine explicitly the center of the twisted graded Hecke algebras associated to homocyclic groups. Our results are a generalization of formulas by M. Douglas and B. Fiol in [J. High Energy Phys. 2005 (2005), no. 9, 053, 22 pages, hep-th/9903031].

Full work available at URL: https://arxiv.org/abs/1403.6817

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zbMATH Keywords

center of twisted graded Hecke algebrascrossed-product algebrasgenerators of centerhomocyclic groupsPoincaré-Birkhoff-Witt deformations

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Deformations of associative rings (16S80) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

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