On Ringel–Hall Algebras of Tame Hereditary Algebras |
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| Authors: | Jiuzhao Hua Jie Xiao |
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| Affiliation: | (1) Department of Mathematics, University of Bielefeld, 33501 Bielefeld, Germany;(2) Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China |
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| Abstract: | In this paper, the double Ringel–Hall algebras of tame hereditary algebras are decomposed as the quantized enveloping algebras of the infinite-dimensional Lie algebras, which are the central extensions of the affine loop algebras and the infinite-dimensional Heisenberg algebras. The numbers of the generators of the Heisenberg algebras are explicitly given at each dimensional level. |
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| Keywords: | Ringel– Hall algebra tame hereditary algebra affine Kac– Moody Heisenberg algebra |
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