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Root vectors of the composition algebra of the Kronecker algebra
Репозиторій DSpace/Manakin
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Root vectors of the composition algebra of the Kronecker algebra
Інший ID:
2000 Mathematics Subject Classification: 16G10, 17B37, 16G20, 81R50.
Посилання:
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.
Підтримка:
I would like to thank Professor V. Dlab and Professor E. Neher for their
help and support. I am grateful to Professor C. M. Ringel and Professor
J. Xiao for their helpful suggestions.
Дата:
2004
Переглядів:
473
Завантажень:
148
Анотація:
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 specially, we get a realization
of quantum root vectors of the generic composition algebra of the
Kronecker algebra by using the Ringel–Hall approach. The commutation relations among all root vectors are given and an integral
PBW–basis of this algebra is also obtained.
