摘要: Abstract The aim of this paper is to study the structure composition algebras affine type. It turns out that they have a triangular decomposition P ⊗ T I corresponding division indecomposables into preprojectives, regulars, and preinjectives. By recent Ringel–Green theorem algebra can be twisted in order obtain positive partU + of Drinfeld–Jimbo quantized enveloping algebraU = U − ⊗ U0 ⊗ U + of Kac–Moody algebra, one obtains forU + , particular, natural basis ofU + in terms ofA-representations.
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