Loading...
research article
The Center of Small Quantum Groups I: The Principal Block in Type A
October 1, 2018
We develop an elementary algebraic method to compute the center of the principal block of a small quantum group associated with a complex semisimple Lie algebra at a root of unity. The cases of sl(3) and sl(4) are computed explicitly. This allows us to formulate the conjecture that, as a bigraded vector space, the center of a regular block of the small quantum sl(m) at a root of unity is isomorphic to Haiman's diagonal coinvariant algebra for the symmetric group S-m.
Type
research article
Web of Science ID
WOS:000450254200006
Authors
Publication date
2018-10-01
Publisher
Published in
Issue
20
Start page
6349
End page
6405
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
December 13, 2018
Use this identifier to reference this record