Mapping spaces and automorphism groups of toric noncommutative spaces
We develop a sheaf theory approach to toric noncommutative geometry which allows us to formalize the concept of mapping spaces between two toric noncommutative spaces. As an application we study the 'internalized' automorphism group of a toric noncommutative space and show that its Lie alg...
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| Format: | Article |
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Springer Verlag
2017
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| Online Access: | https://eprints.nottingham.ac.uk/41688/ |
| _version_ | 1848796331392368640 |
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| author | Barnes, Gwendolyn E. Schenkel, Alexander Szabo, Richard J. |
| author_facet | Barnes, Gwendolyn E. Schenkel, Alexander Szabo, Richard J. |
| author_sort | Barnes, Gwendolyn E. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We develop a sheaf theory approach to toric noncommutative geometry which allows us to formalize the concept of mapping spaces between two toric noncommutative spaces. As an application we study the 'internalized' automorphism group of a toric noncommutative space and show that its Lie algebra has an elementary description in terms of braided derivations. |
| first_indexed | 2025-11-14T19:46:17Z |
| format | Article |
| id | nottingham-41688 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:46:17Z |
| publishDate | 2017 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-416882020-05-04T19:55:32Z https://eprints.nottingham.ac.uk/41688/ Mapping spaces and automorphism groups of toric noncommutative spaces Barnes, Gwendolyn E. Schenkel, Alexander Szabo, Richard J. We develop a sheaf theory approach to toric noncommutative geometry which allows us to formalize the concept of mapping spaces between two toric noncommutative spaces. As an application we study the 'internalized' automorphism group of a toric noncommutative space and show that its Lie algebra has an elementary description in terms of braided derivations. Springer Verlag 2017-09 Article PeerReviewed Barnes, Gwendolyn E., Schenkel, Alexander and Szabo, Richard J. (2017) Mapping spaces and automorphism groups of toric noncommutative spaces. Letters in Mathematical Physics, 107 (9). pp. 1591-1628. ISSN 1573-0530 Noncommutative geometry Torus actions Sheaves Exponential objects Automorphism groups http://link.springer.com/article/10.1007/s11005-017-0957-8 doi:10.1007/s11005-017-0957-8 doi:10.1007/s11005-017-0957-8 |
| spellingShingle | Noncommutative geometry Torus actions Sheaves Exponential objects Automorphism groups Barnes, Gwendolyn E. Schenkel, Alexander Szabo, Richard J. Mapping spaces and automorphism groups of toric noncommutative spaces |
| title | Mapping spaces and automorphism groups of toric noncommutative spaces |
| title_full | Mapping spaces and automorphism groups of toric noncommutative spaces |
| title_fullStr | Mapping spaces and automorphism groups of toric noncommutative spaces |
| title_full_unstemmed | Mapping spaces and automorphism groups of toric noncommutative spaces |
| title_short | Mapping spaces and automorphism groups of toric noncommutative spaces |
| title_sort | mapping spaces and automorphism groups of toric noncommutative spaces |
| topic | Noncommutative geometry Torus actions Sheaves Exponential objects Automorphism groups |
| url | https://eprints.nottingham.ac.uk/41688/ https://eprints.nottingham.ac.uk/41688/ https://eprints.nottingham.ac.uk/41688/ |