Contravariant Form on Tensor Product of Highest Weight Modules

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Author: Mudrov, A.I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210196
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Contravariant Form on Tensor Product of Highest Weight Modules / A.I. Mudrov // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 15 назв. — англ.

We give a criterion for complete reducibility of tensor product V⊗Z of two irreducible highest weight modules V and Z over a classical or quantum semi-simple group in terms of a contravariant symmetric bilinear form on V⊗Z. This form is the product of the canonical contravariant forms on V and Z. Th...