Advanced search
Publication Cover
Communications in Algebra Volume 40, 2012 - Issue 6
Submit an article Journal homepage
88
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

On P-Polynomial Table Algebras and Applications to Association Schemes

Bangteng Xu Department of Mathematics and Statistics, Eastern Kentucky University, Richmond, Kentucky, USACorrespondence[email protected]
Pages 2171-2183 | Received 21 Sep 2010, Published online: 15 Jun 2012

REFERENCES

  • Arad , Z. , Blau , H. ( 1991 ). On table algebras and applications to finite group theory . J. Algebra 138 : 137 – 185 .
  • Arad , Z. , Fisman , E. , Muzychuk , M. ( 1999 ). Generalized table algebras . Israel J. Math. 114 : 29 – 60 .
  • Brouwer , A. , Cohen , A. , Neumaier , A. ( 1989 ). Distance-Regular Graphs . Berlin , Heidelberg : Springer-Verlag .
  • Bannai , E. , Ito , T. ( 1984 ). Algebraic Combinatorics I: Association Schemes . Menlo Park , CA : Benjamin/Cummings .
  • Caughman , J. , MacLean , M. , Terwilliger , P. ( 2005 ). The Terwilliger algebra of an almost-bipartite P- and Q-polynomial association scheme . Discrete Math. 292 ( 1–3 ): 17 – 44 .
  • Gelaki , S. , Nikshych , D. ( 2008 ). Nilpotent fusion categories . Adv. Math. 217 : 1053 – 1071 .
  • Kurihara , H. , Nozaki , H. ( 2010 ). An equivalent condition of the Q-polynomial property on the spherical embedding of symmetric association schemes, arXiv:1007.0473 .
  • Nicholson , W. K. ( 1999 ). An Introduction to Abstract Algebra. 2nd ed. John Wiley & Sons, Inc .
  • Xu , B. ( 2009 ). On perfect P-polynomial table algebras . Comm. Algebra 37 : 120 – 153 .
  • Xu , B. ( 2008 ). Permutation modules over table algebras and applications to association schemes . J. Algebra 320 : 1449 – 1476 .
  • Xu , B. ( 2008 ). Characters of table algebras and applications to association schemes . J. Combin. Theory Ser. A 115 : 1358 – 1373 .
  • Xu , B. ( 2008 ). On maximal actions and w-maximal actions of finite hypergroups . J. Algebraic Combin. 27 : 127 – 141 .
  • Xu , B. ( 2006 ). Table algebras with multiple P-polynomial structures . J. Algebraic Comb. 23 : 377 – 393 .
  • Xu , B. ( 1995 ). Polynomial table algebras and their covering numbers . J. Algebra 176 : 504 – 527 .
  • Xu , B. , Blau , H. ( 2010 ). On pseudocyclic table algebras and applications to pesudocyclic association schemes. Israel J. Math. In press .
  • Communicated by A. Turull.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.