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Hopf algebra and noncommutative differential structures. / Ibtisam Ali Masmali

Swansea University Author: Ibtisam Ali Masmali

Abstract

In this thesis I will study noncommutative differential geometry, after the style of Connes and Woronowicz. In particular two examples of differential calculi on Hopf algebras are considered, and their associated covariant derivatives and Riemannian geometry. These are on the Heisenberg group, and o...

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Published: 2010
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42676
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first_indexed 2018-08-02T18:55:16Z
last_indexed 2018-08-03T10:10:47Z
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spelling 2018-08-02T16:24:30.0866121 v2 42676 2018-08-02 Hopf algebra and noncommutative differential structures. e1c4ed295bbcdbf65edd9fd0c567d361 NULL Ibtisam Ali Masmali Ibtisam Ali Masmali true true 2018-08-02 In this thesis I will study noncommutative differential geometry, after the style of Connes and Woronowicz. In particular two examples of differential calculi on Hopf algebras are considered, and their associated covariant derivatives and Riemannian geometry. These are on the Heisenberg group, and on the finite group A4. I consider bimodule connections after the work of Madore. In the last chapter noncommutative fibrations are considerd, with an application to the Leray spectral sequence. NOTATION. In this thesis equations are numbered as round brackets (), where (a.b) denotes equation b in chapter a, and references are indicated by square brackets []. This thesis has been typeset using Latex, and some figures using the Visio program. E-Thesis Mathematics. 31 12 2010 2010-12-31 COLLEGE NANME Mathematics COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:30.0866121 2018-08-02T16:24:30.0866121 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Ibtisam Ali Masmali NULL 1 0042676-02082018162513.pdf 10807445.pdf 2018-08-02T16:25:13.2370000 Output 5801736 application/pdf E-Thesis true 2018-08-02T16:25:13.2370000 false
title Hopf algebra and noncommutative differential structures.
spellingShingle Hopf algebra and noncommutative differential structures.
Ibtisam Ali Masmali
title_short Hopf algebra and noncommutative differential structures.
title_full Hopf algebra and noncommutative differential structures.
title_fullStr Hopf algebra and noncommutative differential structures.
title_full_unstemmed Hopf algebra and noncommutative differential structures.
title_sort Hopf algebra and noncommutative differential structures.
author_id_str_mv e1c4ed295bbcdbf65edd9fd0c567d361
author_id_fullname_str_mv e1c4ed295bbcdbf65edd9fd0c567d361_***_Ibtisam Ali Masmali
author Ibtisam Ali Masmali
author2 Ibtisam Ali Masmali
format E-Thesis
publishDate 2010
institution Swansea University
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 1
active_str 0
description In this thesis I will study noncommutative differential geometry, after the style of Connes and Woronowicz. In particular two examples of differential calculi on Hopf algebras are considered, and their associated covariant derivatives and Riemannian geometry. These are on the Heisenberg group, and on the finite group A4. I consider bimodule connections after the work of Madore. In the last chapter noncommutative fibrations are considerd, with an application to the Leray spectral sequence. NOTATION. In this thesis equations are numbered as round brackets (), where (a.b) denotes equation b in chapter a, and references are indicated by square brackets []. This thesis has been typeset using Latex, and some figures using the Visio program.
published_date 2010-12-31T03:53:26Z
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score 11.012678

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