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Abstract
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Dynkin quiver Q, we use the existence of Hall polynomials to embed the simple Lie algebra defined by Peng and Xiao in terms of the root category of Q into a degenerate form of the Bridgeland-Hall algebra of Q.
Main references:
[1] T. Bridgeland, Quantum groups via Hall algebras of complexes, arXiv: 1111.0745.
[2] L. Peng and J. Xiao, Root categories and simple Lie algebras, J. Algebra 198 (1997), 19--56.
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