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http://hdl.handle.net/1942/16074| Title: | Calabi-Yau pointed Hopf algebras of finite Cartan type | Authors: | YU, Xiaolan ZHANG, Yinhuo |
Issue Date: | 2013 | Source: | Journal of Noncommutative Geometry, 7 (4), p. 1105-1144 | Abstract: | We study the Calabi–Yau property of pointed Hopf algebra U(D,λ) of finite Cartan type. It turns out that this class of pointed Hopf algebras constructed by N. Andruskiewitsch and H.-J. Schneider contains many Calabi–Yau Hopf algebras. To give concrete examples of new Calab–Yau Hopf algebras, we classify the Calabi–Yau pointed Hopf algebras U(D,λ) of dimension less than 5. | Notes: | Yu, XL (reprint author), Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China. xlyu@hznu.edu.cn; yinhuo.zhang@uhasselt.be | Keywords: | Pointed Hopf algebra, Nichols algebra, Calabi–Yau algebra | Document URI: | http://hdl.handle.net/1942/16074 | Link to publication/dataset: | http://www.ems-ph.org/journals/show_abstract.php?issn=1661-6952&vol=7&iss=4&rank=6 | ISSN: | 1661-6952 | e-ISSN: | 1661-6960 | DOI: | 10.4171/JNCG/144 | ISI #: | 000329996100005 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2015 |
| Appears in Collections: | Research publications |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| calabi.pdf Restricted Access | Non peer-reviewed author version | 311.91 kB | Adobe PDF | View/Open Request a copy |
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