Title
The geometry of representations of 3-dimensional Sklyanin algebras The geometry of representations of 3-dimensional Sklyanin algebras
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
University Hospital Antwerp
Publication type
article
Publication
Subject
Mathematics
Source (journal)
Algebras and representation theory. - -
Volume/pages
18(2015) :3 , p. 761-776
ISSN
1386-923X
ISI
000356541100008
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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) .
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Full text (open access)
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Handle