Published December 2, 2019 | Version v1
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On some recent progress in the classification of $$(P\hbox { and }Q)$$-polynomial association schemes

  • 1. Pusan National University
  • 2. University of Science and Technology of China
  • 3. Chinese Academy of Sciences

Description

Abstract The problem of classification of $$(P\hbox { and }Q)$$ (PandQ) -polynomial association schemes, as a finite analogue of E. Cartan's classification of compact symmetric spaces, was posed in the monograph "Association schemes" by E. Bannai and T. Ito in the early 1980s. In this expository paper, we report on some recent results towards its solution.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

ملخص تم طرح مشكلة تصنيف $$(P\ hbox { and }Q)$$( PandQ )- مخططات الارتباط متعدد الحدود، كتناظر محدود لتصنيف E. Cartan للمساحات المتماثلة المدمجة، في دراسة "مخططات الارتباط" من قبل E. Bannai و T. Ito في أوائل الثمانينيات. في هذه الورقة التفسيرية، نبلغ عن بعض النتائج الأخيرة نحو حلها.

Translated Description (French)

Résumé Le problème de la classification des schémas d'association $$(P\hbox { and }Q)$$ (PandQ) -polynomiale, en tant qu'analogue fini de la classification des espaces symétriques compacts de E. Cartan, a été posé dans la monographie « Schémas d'association » de E. Bannai et T. Ito au début des années 1980. Dans ce document d'exposition, nous rendons compte de certains résultats récents vers sa solution.

Translated Description (Spanish)

Resumen El problema de la clasificación de $$(P\hbox { y }Q)$$ (PyQ) -esquemas de asociación polinómica, como un análogo finito de la clasificación de espacios simétricos compactos de E. Cartan, fue planteado en la monografía "Esquemas de asociación" por E. Bannai y T. Ito a principios de la década de 1980. En este documento expositivo, informamos sobre algunos resultados recientes hacia su solución.

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Additional details

Additional titles

Translated title (Arabic)
حول بعض التقدم الأخير في تصنيف $$( P\ hbox { and }Q)$$- مخططات الارتباط متعدد الحدود
Translated title (French)
Sur certains progrès récents dans la classification des schémas d'association $$(P\hbox { and }Q)$$ -polynomiale
Translated title (Spanish)
Sobre algunos avances recientes en la clasificación de $$(P\hbox { y }Q)$$ -esquemas de asociación polinómica

Identifiers

Other
https://openalex.org/W2989712123
DOI
10.1007/s40065-019-00273-x

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
China

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