Тип публикации: статья из журнала
Год издания: 2022
Идентификатор DOI: 10.1007/s13398-022-01218-4
Ключевые слова: antiassociative algebra, algebraic classification, central extension, geometric classification, degeneration
Аннотация: This paper is devoted to the complete algebraic and geometric classification of complex four and five-dimensional antiassociative algebras. In particular, we proved that the variety of complex four-dimensional antiassociative algebras has dimension 12 and it is defined by three irreducible components (in particular, there is only 1Показать полностьюrigid algebra in this variety); the variety of complex five-dimensional antiassociative algebras has dimension 24 and it is defined by 8 irreducible components (in particular, there are only 4 rigid algebras in this variety). This paper is devoted to the complete algebraic and geometric classification of complex four and five-dimensional antiassociative algebras. In particular, we proved that the variety of complex four-dimensional antiassociative algebras has dimension 12 and it is defined by three irreducible components (in particular, there is only 1 rigid algebra in this variety); the variety of complex five-dimensional antiassociative algebras has dimension 24 and it is defined by 8 irreducible components (in particular, there are only 4 rigid algebras in this variety). © 2022, The Author(s) under exclusive licence to The Royal Academy of Sciences, Madrid. This paper is devoted to the complete algebraic and geometric classification of complex four and five-dimensional antiassociative algebras. In particular, we proved that the variety of complex four-dimensional antiassociative algebras has dimension 12 and it is defined by three irreducible components (in particular, there is only 1 rigid algebra in this variety); the variety of complex five-dimensional antiassociative algebras has dimension 24 and it is defined by 8 irreducible components (in particular, there are only 4 rigid algebras in this variety). © 2022, The Author(s) under exclusive licence to The Royal Academy of Sciences, Madrid.
Журнал: REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
Выпуск журнала: Vol. 116, Is. 2
Номера страниц: 78
ISSN журнала: 15787303
Место издания: MILAN
Издатель: SPRINGER-VERLAG ITALIA SRL