About UMP algebras and a special classification case
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913997897334784 |
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| author | Caranguay-Mainguez, Jhony F. Franco, Andrés Reynoso-Mercado, David Rizzo, Pedro |
| author_facet | Caranguay-Mainguez, Jhony F. Franco, Andrés Reynoso-Mercado, David Rizzo, Pedro |
| contents | The class of UMP algebras arises in several classification problems in the context of derived categories of finite-dimensional algebras. In this paper we define the class of UMP algebras and develop algebraic combinatorics tools in order to present a characterization of this class of algebras which are locally monomial (see Definition 4.1) and special multiserial algebras. Among other things, we describe the ramifications graph of symmetric special biserial algebras and we classify which of them are UMP algebras in terms of their bound quivers and their associated Brauer graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_11624 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | About UMP algebras and a special classification case Caranguay-Mainguez, Jhony F. Franco, Andrés Reynoso-Mercado, David Rizzo, Pedro Representation Theory 16G20, 05E10 The class of UMP algebras arises in several classification problems in the context of derived categories of finite-dimensional algebras. In this paper we define the class of UMP algebras and develop algebraic combinatorics tools in order to present a characterization of this class of algebras which are locally monomial (see Definition 4.1) and special multiserial algebras. Among other things, we describe the ramifications graph of symmetric special biserial algebras and we classify which of them are UMP algebras in terms of their bound quivers and their associated Brauer graphs. |
| title | About UMP algebras and a special classification case |
| topic | Representation Theory 16G20, 05E10 |
| url | https://arxiv.org/abs/2309.11624 |