The fundamental basis theorem of geometry from an algebraic point of view
An algebraic analog of the Fundamental Basis Theorem of geometry is offered with a pure algebraic proof involving the famous Waring’s problem for polynomials. Unlike the geometry case the offered system of invariant differential operators is commuting, which is a new result even in the classical...
| Main Author: | |
|---|---|
| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
IOP Publishing
2017
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/56423/ http://irep.iium.edu.my/56423/7/56423.pdf http://irep.iium.edu.my/56423/13/56423_The%20Fundamental%20Basis%20Theorem%20of%20Geometry_Scopus.pdf |
| _version_ | 1848784734975426560 |
|---|---|
| author | Bekbaev, Ural |
| author_facet | Bekbaev, Ural |
| author_sort | Bekbaev, Ural |
| building | IIUM Repository |
| collection | Online Access |
| description | An algebraic analog of the Fundamental Basis Theorem of geometry is offered
with a pure algebraic proof involving the famous Waring’s problem for polynomials. Unlike the
geometry case the offered system of invariant differential operators is commuting, which is a
new result even in the classical geometry of surfaces. Moreover the algebraic analog works in
more general settings then does the Fundamental Basis Theorem of geometry |
| first_indexed | 2025-11-14T16:41:58Z |
| format | Proceeding Paper |
| id | iium-56423 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:41:58Z |
| publishDate | 2017 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-564232017-06-06T07:28:14Z http://irep.iium.edu.my/56423/ The fundamental basis theorem of geometry from an algebraic point of view Bekbaev, Ural Q Science (General) QA Mathematics An algebraic analog of the Fundamental Basis Theorem of geometry is offered with a pure algebraic proof involving the famous Waring’s problem for polynomials. Unlike the geometry case the offered system of invariant differential operators is commuting, which is a new result even in the classical geometry of surfaces. Moreover the algebraic analog works in more general settings then does the Fundamental Basis Theorem of geometry IOP Publishing 2017-04-03 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/56423/7/56423.pdf application/pdf en http://irep.iium.edu.my/56423/13/56423_The%20Fundamental%20Basis%20Theorem%20of%20Geometry_Scopus.pdf Bekbaev, Ural (2017) The fundamental basis theorem of geometry from an algebraic point of view. In: 37th International Conference on Quantum Probability and Related Topics (QP37) 2016, 22nd-26th August 2016, Kuantan, Pahang, Malaysia. http://iopscience.iop.org/article/10.1088/1742-6596/819/1/011001/pdf 10.1088/1742-6596/819/1/012013 |
| spellingShingle | Q Science (General) QA Mathematics Bekbaev, Ural The fundamental basis theorem of geometry from an algebraic point of view |
| title | The fundamental basis theorem of geometry from an algebraic point of view |
| title_full | The fundamental basis theorem of geometry from an algebraic point of view |
| title_fullStr | The fundamental basis theorem of geometry from an algebraic point of view |
| title_full_unstemmed | The fundamental basis theorem of geometry from an algebraic point of view |
| title_short | The fundamental basis theorem of geometry from an algebraic point of view |
| title_sort | fundamental basis theorem of geometry from an algebraic point of view |
| topic | Q Science (General) QA Mathematics |
| url | http://irep.iium.edu.my/56423/ http://irep.iium.edu.my/56423/ http://irep.iium.edu.my/56423/ http://irep.iium.edu.my/56423/7/56423.pdf http://irep.iium.edu.my/56423/13/56423_The%20Fundamental%20Basis%20Theorem%20of%20Geometry_Scopus.pdf |