
SIGMA 10 (2014), 098, 7 pages arXiv:1403.6817
https://doi.org/10.3842/SIGMA.2014.098
Contribution to the Special Issue on New Directions in Lie Theory
Center of Twisted Graded Hecke Algebras for Homocyclic Groups
Wee Liang Gan ^{a} and Matthew Highfield ^{b}
^{a)} University of California, Riverside, CA 92521, USA
^{b)} Pepperdine University, Malibu, CA 90263, USA
Received March 31, 2014, in final form October 10, 2014; Published online October 15, 2014
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].
Key words:
twisted graded Hecke algebra; homocyclic group.
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