Root vectors of the composition algebra of the Kronecker algebra

• Published in: Algebra and Discrete Mathematics
• Date: 2004
• ISSN: 1726-3255
• Main Author: Chen, X.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155948
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Root vectors of the composition algebra of the Kronecker algebra / X. Chen // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 1. — С. 37–56. — Бібліогр.: 24 назв. — англ.

According to the canonical isomorphism between
 the positive part Uq⁺(g) of the Drinfeld–Jimbo quantum group
 Uq(g) and the generic composition algebra C(∆) of Λ, where the
 Kac–Moody Lie algebra g and the finite dimensional hereditary algebra Λ have the same diagram, in s...