Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772059 | Journal of Algebra | 2017 | 36 Pages |
Abstract
In the present paper we prove that Hall polynomial exists for each triple of decomposition sequences which parameterize isomorphism classes of coherent sheaves of a domestic weighted projective line X over finite fields. These polynomials are then used to define the generic Ringel-Hall algebra of X as well as its Drinfeld double. Combining this construction with a result of Cramer, we show that Hall polynomials exist for tame quivers, which not only refines a result of Hubery, but also confirms a conjecture of Berenstein and Greenstein.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Bangming Deng, Shiquan Ruan,