Published October 2018
| Submitted
Journal Article
Open
The center of small quantum groups I: the principal block in type A
- Creators
- Lachowska, Anna
-
Qi, You
Abstract
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 exemplary case of sl_3 is computed explicitly, and further evidence of sl_4 is sketched. 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.
Additional Information
© 2017 The Author(s). Published by Oxford University Press. This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model). Received: 19 July 2016; Revision Received: 19 January 2017; Accepted: 27 February 2017; Published: 21 April 2017.Attached Files
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Additional details
- Eprint ID
- 97872
- Resolver ID
- CaltechAUTHORS:20190814-083045634
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2019-08-14Created from EPrint's datestamp field
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2021-11-16Created from EPrint's last_modified field