Krähmer, U. and Tucker-Simmons, M. (2015) On the Dolbeault-Dirac operator of quantized symmetric spaces. Transactions of the London Mathematical Society, 2(1), pp. 33-56. (doi: 10.1112/tlms/tlv002)
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Abstract
The Dolbeault complex of a quantized compact Hermitian symmetric space is expressed in terms of the Koszul complex of a braided symmetric algebra of Berenstein and Zwicknagl. This defines a spectral triple quantizing the Dolbeault–Dirac operator associated to the canonical spinc structure.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Kraehmer, Dr Ulrich |
| Authors: | Krähmer, U., and Tucker-Simmons, M. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Transactions of the London Mathematical Society |
| Publisher: | London Mathematical Society |
| ISSN: | 2052-4986 |
| ISSN (Online): | 2052-4986 |
| Copyright Holders: | Copyright © 2015 The Authors |
| First Published: | First published in Transactions of the London Mathematical Society 2(1):33-56 |
| Publisher Policy: | Reproduced under a Creative Commons License |
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