12 papers
On realizations of the complex Lie groups and those real forms
Toshikazu Miyashita
There exist six Lie groups of type , and to be specific, . In order to define these groups, we use usually the Ca…
On realizations of the complex Lie groups and those compact real forms
Toshikazu Miyashita
In order to define the complex exceptional Lie groups and these compact real forms , we usually use the Cayley algebra $ \…
Realizations of inner automorphisms of order four and fixed points subgroups by them on the connected compact exceptional Lie group , Part III
Toshikazu Miyashita
The compact simply connected Riemannian 4-symmetric spaces were classified by J.A. Jim{é}nez according to type of the Lie algebras. As homogeneous manifolds, these spaces are of th…
On realizations of the Lie groups $ G_{2,\boldmath\scriptstyle{H}},F_{4,\boldmath\scriptstyle{H}},E_{6,\boldmath\scriptstyle{H}},E_{7,\boldmath\scriptstyle{H}},E_{8,\boldmath\scriptstyle{H}} $, second edition
Toshikazu Miyashita
In order to define the exceptional compact Lie groups , we usually use the Cayley algebra or its complexification . In the prese…
Realizations of inner automorphisms of order four and fixed points subgroups by them on the connected compact exceptional Lie group , Part II
Toshikazu MIyashita
The compact simply connected Riemannian 4-symmetric spaces were classified by J.A. Jim{é}nez according to type of the Lie algebras. As homogeneous manifolds, these spaces are of th…
On some realizations of globally exceptional $\varmathbb{Z}_3 \times \varmathbb{Z}_3 $-symmetric spaces , , Part I
Toshikazu Miyashita
R. Lutz introduced the notion of -symmetric space as a generalization of the classical notion of symmetric space in 1981, where is a finite abelian group. In…