Discrete Minimal Surface Algebras

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2010
• Hauptverfasser: Arnlind, J., Hoppe, J.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2010
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/146344
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Discrete Minimal Surface Algebras / J. Arnlind, J. Hoppe // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 17 назв. — англ.

We consider discrete minimal surface algebras (DMSA) as generalized noncommutative analogues of minimal surfaces in higher dimensional spheres. These algebras appear naturally in membrane theory, where sequences of their representations are used as a regularization. After showing that the defining r...