The Bridgeland's Ringel-Hall algebra associated to an algebra with global dimension at most two

The Bridgeland's Ringel-Hall algebra associated to an algebra with global dimension at most two

For any finitely dimensional associative algebra with global dimension \(\leq 2\), we show that there is an embedding from the twisted Ringel-Hall algebra to the Brigeland's Ringel-Hall algebra. In particular, this result is true for tilted algebras and canonical algebras.

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Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2019-04
Hauptverfasser: Geng, Shengfei, Peng, Liangang
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Mathematics - Representation Theory
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Zusammenfassung:For any finitely dimensional associative algebra with global dimension \(\leq 2\), we show that there is an embedding from the twisted Ringel-Hall algebra to the Brigeland's Ringel-Hall algebra. In particular, this result is true for tilted algebras and canonical algebras.
ISSN:2331-8422
DOI:10.48550/arxiv.1309.0998