Automorphisms of Leavitt path algebras: Zhang twist and irreducible representations
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866929485429866496 |
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| author | Nam, Tran Giang Srivastava, Ashish K. Vien, Nguyen Thi |
| author_facet | Nam, Tran Giang Srivastava, Ashish K. Vien, Nguyen Thi |
| contents | In this article, we construct (graded) automorphisms fixing all vertices of Leavitt path algebras of arbitrary graphs in terms of general linear groups over corners of these algebras. As an application, we study Zhang twist of Leavitt path algebras and describe new classes of irreducible representations of Leavitt path algebras of the rose graphs $R_n$ with $n$ petals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15910 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Automorphisms of Leavitt path algebras: Zhang twist and irreducible representations Nam, Tran Giang Srivastava, Ashish K. Vien, Nguyen Thi Rings and Algebras Operator Algebras 16D60, 16D70, 16S88 In this article, we construct (graded) automorphisms fixing all vertices of Leavitt path algebras of arbitrary graphs in terms of general linear groups over corners of these algebras. As an application, we study Zhang twist of Leavitt path algebras and describe new classes of irreducible representations of Leavitt path algebras of the rose graphs $R_n$ with $n$ petals. |
| title | Automorphisms of Leavitt path algebras: Zhang twist and irreducible representations |
| topic | Rings and Algebras Operator Algebras 16D60, 16D70, 16S88 |
| url | https://arxiv.org/abs/2311.15910 |