On the geometry of V-systems

Feigin, M. and Veselov, A.P. (2008) On the geometry of V-systems. In: Buchstaber, V.M. and Krichever, I.M. (eds.) Geometry, Topology, and Mathematical Physics: S. P. Novikov's Seminar: 2006-2007. Series: American Mathematical Society translations; series 2 (224). American Mathematical Society: Providence, R.I., USA, pp. 111-124. ISBN 9780821846742

Abstract

We consider a complex version of the V-systems, which appeared in the theory of the WDVV equation. We show that the class of these systems is closed under the natural operations of restriction and taking the subsystems and study a special class of the V-systems related to generalized root systems and basic classical Lie superalgebras.

• Item Type: Book Sections
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Feigin, Professor Misha
• Authors: Feigin, M., and Veselov, A.P.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Publisher: American Mathematical Society
• ISBN: 9780821846742

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