3 citations · 4 across the 4 of their papers we have counts for
4 papers
Universal decomposition algebras and the classification of 2-generated non-primitive axial algebras of Jordan type
Takahiro Yabe
Decomposition algebras and axial decomposition algebras are classes of commutative nonassociative algebras which are generalizations of axial algebras. The classes decomposition al…
On primitive axial decomposition algebras of Majorana type with degenerate eigenvalues
Takahiro Yabe
A class of axial decomposition algebras with Miyamoto group generated by two Miyamoto automorphisms and three eigenvalues and is introduced and classified in the case wit…
On the classification of 2-generated axial algebras of Majorana type
Takahiro Yabe
A class of axial algebras generated by two axes with eigenvalues 0, 1, and called axial algebras of Majorana type is introduced and classified when they are 2-generated, ov…
Jordan Matsuo algebras over fields of characteristic 3
Takahiro Yabe
The Matsuo algebra associated with a connected Fischer space is shown to be a Jordan algebra over a field of characteristic 3 if and only if the Fischer space is isomorphic to eith…