Bijection between positive clusters and projectively signed exceptional sequences
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913628204040192 |
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| author | Chen, Shujian Igusa, Kiyoshi |
| author_facet | Chen, Shujian Igusa, Kiyoshi |
| contents | In 2017, Igusa and Todorov gave a bijection between signed exceptional sequences and ordered partial clusters. In this paper, we show that every term in an exceptional sequence is either relatively projective or relatively injective or both and we refine this bijection to one between projectively signed exceptional sequences and ordered partial positive clusters. We also give a characterization of relatively projective/injective objects in terms of supports of the objects in the exceptional sequence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_05997 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bijection between positive clusters and projectively signed exceptional sequences Chen, Shujian Igusa, Kiyoshi Representation Theory Combinatorics 16G20 In 2017, Igusa and Todorov gave a bijection between signed exceptional sequences and ordered partial clusters. In this paper, we show that every term in an exceptional sequence is either relatively projective or relatively injective or both and we refine this bijection to one between projectively signed exceptional sequences and ordered partial positive clusters. We also give a characterization of relatively projective/injective objects in terms of supports of the objects in the exceptional sequence. |
| title | Bijection between positive clusters and projectively signed exceptional sequences |
| topic | Representation Theory Combinatorics 16G20 |
| url | https://arxiv.org/abs/2312.05997 |