THE TERWILLIGER ALGEBRA AND QUANTUM ADJACENCY ALGEBRA OF AN ALMOST-BIPARTITE P-AND-Q-POLYNOMIAL ASSOCIATION SCHEME
An association scheme is a structure consisting of a finite set and associate classes fulfilling some axioms. The Terwilliger algebra of a scheme is generated by the Bose-Mesner and dual Bose-Mesner algebra of the scheme, whereas the quantum adjacency algebra of a scheme is generated by the raisi...
Saved in:
| Main Author: | |
|---|---|
| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/73553 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| id |
id-itb.:73553 |
|---|---|
| spelling |
id-itb.:735532023-06-21T10:56:07ZTHE TERWILLIGER ALGEBRA AND QUANTUM ADJACENCY ALGEBRA OF AN ALMOST-BIPARTITE P-AND-Q-POLYNOMIAL ASSOCIATION SCHEME Ahmad, Abdillah Indonesia Final Project association schemes, distance-regular graphs, Terwilliger algebra, subconstituent algebra, quantum decomposition. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/73553 An association scheme is a structure consisting of a finite set and associate classes fulfilling some axioms. The Terwilliger algebra of a scheme is generated by the Bose-Mesner and dual Bose-Mesner algebra of the scheme, whereas the quantum adjacency algebra of a scheme is generated by the raising, flat, and lowering matrices of the scheme. Here it is proved that for almost-bipartite P-and-Qpolynomial symmetric association schemes, the two algebras are equal. text |
| institution |
Institut Teknologi Bandung |
| building |
Institut Teknologi Bandung Library |
| continent |
Asia |
| country |
Indonesia Indonesia |
| content_provider |
Institut Teknologi Bandung |
| collection |
Digital ITB |
| language |
Indonesia |
| description |
An association scheme is a structure consisting of a finite set and associate classes
fulfilling some axioms. The Terwilliger algebra of a scheme is generated by the
Bose-Mesner and dual Bose-Mesner algebra of the scheme, whereas the quantum
adjacency algebra of a scheme is generated by the raising, flat, and lowering
matrices of the scheme. Here it is proved that for almost-bipartite P-and-Qpolynomial
symmetric association schemes, the two algebras are equal. |
| format |
Final Project |
| author |
Ahmad, Abdillah |
| spellingShingle |
Ahmad, Abdillah THE TERWILLIGER ALGEBRA AND QUANTUM ADJACENCY ALGEBRA OF AN ALMOST-BIPARTITE P-AND-Q-POLYNOMIAL ASSOCIATION SCHEME |
| author_facet |
Ahmad, Abdillah |
| author_sort |
Ahmad, Abdillah |
| title |
THE TERWILLIGER ALGEBRA AND QUANTUM ADJACENCY ALGEBRA OF AN ALMOST-BIPARTITE P-AND-Q-POLYNOMIAL ASSOCIATION SCHEME |
| title_short |
THE TERWILLIGER ALGEBRA AND QUANTUM ADJACENCY ALGEBRA OF AN ALMOST-BIPARTITE P-AND-Q-POLYNOMIAL ASSOCIATION SCHEME |
| title_full |
THE TERWILLIGER ALGEBRA AND QUANTUM ADJACENCY ALGEBRA OF AN ALMOST-BIPARTITE P-AND-Q-POLYNOMIAL ASSOCIATION SCHEME |
| title_fullStr |
THE TERWILLIGER ALGEBRA AND QUANTUM ADJACENCY ALGEBRA OF AN ALMOST-BIPARTITE P-AND-Q-POLYNOMIAL ASSOCIATION SCHEME |
| title_full_unstemmed |
THE TERWILLIGER ALGEBRA AND QUANTUM ADJACENCY ALGEBRA OF AN ALMOST-BIPARTITE P-AND-Q-POLYNOMIAL ASSOCIATION SCHEME |
| title_sort |
terwilliger algebra and quantum adjacency algebra of an almost-bipartite p-and-q-polynomial association scheme |
| url |
https://digilib.itb.ac.id/gdl/view/73553 |
| _version_ |
1822007140111351808 |