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DC Field | Value | Language |
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dc.contributor.author | Bhattacharjee, Suvrajit | - |
dc.date.accessioned | 2020-12-21T10:20:24Z | - |
dc.date.accessioned | 2020-12-21T10:20:35Z | - |
dc.date.available | 2020-12-21T10:20:24Z | - |
dc.date.available | 2020-12-21T10:20:35Z | - |
dc.date.issued | 2020-03 | - |
dc.identifier.citation | 115p. | en_US |
dc.identifier.uri | http://hdl.handle.net/10263/7092 | - |
dc.description | Thesis is under the supervision of Prof. Debashish Goswami | en_US |
dc.description.abstract | Abstract: In this thesis, we study quantum symmetries within the realm of noncommutative geometry. These symmetries are captured in two levels of generality, namely, Hopf algebras (or compact quantum groups) in the context of noncommutative differential geometry a la Connes and Hopf algebroids in the context of noncommutative Kaehler geometry a la Ó Buachalla. We compute the orientation-preserving quantum isometry group of the Chakraborty-Pal spectral triple on the odd sphere. Generalizing the Hopf algebra case, we build a framework to take into account Hopf algebroid equivariance in non-commutative complex geometry. We classify complex structures on a canonical spectral triple over the three-point space and identify a universal Hopf algebroid acting on a finite space. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Indian Statistical Institute, Kolkata | en_US |
dc.relation.ispartofseries | ISI, Ph. D Thesis;TH475 | - |
dc.subject | Quantum groups | en_US |
dc.subject | Odd dimensional spheres | en_US |
dc.subject | Noncommutative complex geometry | en_US |
dc.subject | Hopf algebroids | en_US |
dc.title | Quantum Symmetries in Noncommutative Geometry | en_US |
dc.type | Thesis | en_US |
Appears in Collections: | Theses Theses |
Files in This Item:
File | Description | Size | Format | |
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20201016-SuvrajitBhattacharjee-Thesis-rev2.pdf | 1.3 MB | Adobe PDF | View/Open |
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