Axial algebras of Monster type (2η,η) for D diagrams. I | Sciact - Система учета научной деятельности ИМ СО РАН

Axial algebras of Monster type (2η,η) for D diagrams. I Научная публикация

Журнал

Communications in Algebra
ISSN: 0092-7872 , E-ISSN: 1532-4125

Вых. Данные

Год: 2025, Страницы: 1-35 Страниц : 35 DOI: 10.1080/00927872.2025.2457010

Ключевые слова

Axial algebra; Matsuo algebra; double axis; 3-transpostion group

Авторы

Mamontov Andrey ¹ , Staroletov Alexey ¹

Организации

1	Sobolev Institute of Mathematics

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0002

Axial algebras are a class of commutative algebras generated by idempotents withadjointactionsemisimpleandsatisfyingaprescribedfusionlaw.Theclass of Matsuo algebras was introduced by Matsuo and later generalized by Hall, Rehren,andShpectorov.AMatsuoalgebraMisbuiltbyasetof3-transpositions D. ElementsofDareidempotentsinMandcalledaxes.Itisknownthatdouble axes, i.e., sums of two orthogonal axes in a Matsuo algebra, satisfy the fusion lawofMonstertype.Inthispaper,westudyprimitivesubalgebrasgeneratedby asingle axis andtwodoubleaxes.Weclassifyallsuchsubalgebrasinsevenout ofninepossiblecasesforadiagramon3-transpositionsthatareinvolvedinthe generating elements. We also construct several infinite series of axial algebras of Monster type generalizing our 3-generated algebras.

Mamontov A. , Staroletov A.
Axial algebras of Monster type (2η,η) for D diagrams. I
Communications in Algebra. 2025. С.1-35. DOI: 10.1080/00927872.2025.2457010 Scopus OpenAlex

Поступила в редакцию:	5 янв. 2023 г.
Принята к публикации:	14 янв. 2025 г.
Опубликована online:	7 февр. 2025 г.

Scopus:	2-s2.0-85217577188
OpenAlex:	W4407251770

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