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http://hdl.handle.net/1942/20775
Title: | The Geometry of Representations of 3-Dimensional Sklyanin Algebras | Authors: | DE LAET, Kevin Le Bruyn, Lieven |
Issue Date: | 2015 | Publisher: | SPRINGER | Source: | ALGEBRAS AND REPRESENTATION THEORY, 18 (3), p. 761-776 | Abstract: | The representation scheme rep (n) A of the 3-dimensional Sklyanin algebra A associated to a plane elliptic curve and n-torsion point contains singularities over the augmentation ideal oe"(a). We investigate the semi-stable representations of the noncommutative blow-up algebra B = A aS center dot oe"(a)t aS center dot oe"(a2) t (2) aS center dot aEuro broken vertical bar to obtain a partial resolution of the central singularity such that the remaining singularities in the exceptional fiber determine an elliptic curve and are all of type a", x a",(2)/a"currency sign (n) . | Notes: | [De Laet, Kevin] Hasselt Univ Agoralaan, Math & Stat, B-3590 Diepenbeek, Belgium. [Le Bruyn, Lieven] Univ Antwerp, Dept Math, B-2020 Antwerp, Belgium. | Keywords: | Sklyanin algebras; noncommutative geometry; representation schemes; superpotentials;Sklyanin algebras; Noncommutative geometry; Representation schemes; Superpotentials | Document URI: | http://hdl.handle.net/1942/20775 | ISSN: | 1386-923X | e-ISSN: | 1572-9079 | DOI: | 10.1007/s10468-014-9515-6 | ISI #: | 000356541100008 | Rights: | © Springer Science+Business Media Dordrecht 2015 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2016 |
Appears in Collections: | Research publications |
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