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Nonunital decompositions of M_3(\mathbb{C}) into a sum of two subalgebras Conference attendances

Language Английский
Participant type Секционный
Conference Мальцевские чтения : Международная конференция
13-17 Nov 2023 , Новосибирск
Authors Gubarev V.Yu. 1
Affiliations
1 Sobolev Institute of Mathematics

Abstract: All decompositions of M3(C) into a direct vector-space sum of two subalgebras such that none of the subalgebras contains the identity matrix are classified. Thus, the classification of all decompositions of M3(C) into a direct vector-space sum of two subalgebras as well as description of Rota—Baxter operators of nonzero weight on M3(C) is finished.
Cite: Gubarev V.Y.
Nonunital decompositions of M_3(\mathbb{C}) into a sum of two subalgebras
Мальцевские чтения : Международная конференция 13-17 Nov 2023