Toshikazu Miyashita

collaborators

4 papers

math.DG2011

Decomposition of compact exceptional Lie groups into their maximal tori

Toshikazu Miyashita

In this paper we treat the intersection of fixed point subgroups by the involutive automorphisms of exceptional Lie group $G = F_{4}, E_{6}, E_{7}$ . We shall find involutive automorphisms…

math.DG2010

Decomposition of spinor groups by the involution σ' in exceptional Lie groups

Toshikazu Miyashita

The compact exceptional Lie groups F4, E6, E7 and E8 have spinor groups as a subgroup as follows: E8 \supset Ss(16) \supset Spin(15) \supset Spin(14) \supset Spin(13), E7 \supset S…

math.DG2010

Fixed points subgroups $G^{σ, σ^{'}}$ by two involutive automorphisms $σ$ , $σ^{'}$ of exceptional compact Lie group $G$ , Part II, $G = E_{8}$

Toshikazu Miyashita

For the simply connected compact exceptional Lie group $E_{8}$ , we determine the structure of subgroup $(E_{8})^{σ, σ^{'}}$ of $E_{8}$ which is the intersection $(E_{8})^{σ} \cap (E_{8})^{σ^{'}}$ . Th…

math.DG2010

Fixed points subgroups by two involutive automorphisms $σ, γ$ of compact exceptional Lie groups $F_{4}, E_{6}$ and $E_{7}$

Toshikazu Miyashita

For simply connected compact exceptional Lie groups $G = F_{4}, E_{6}$ and $E_{7}$ , we consider two involutions $σ, γ$ and determine the group structure of subgroups $G^{σ, γ}$ of $G$ whi…

Decomposition of compact exceptional Lie groups into their maximal tori

Decomposition of spinor groups by the involution σ' in exceptional Lie groups

Fixed points subgroups Gσ,σ′ by two involutive automorphisms σ, σ′ of exceptional compact Lie group G, Part II, G=E8​

Fixed points subgroups by two involutive automorphisms σ,γ of compact exceptional Lie groups F4​,E6​ and E7​

Fixed points subgroups $G^{σ, σ^{'}}$ by two involutive automorphisms $σ$ , $σ^{'}$ of exceptional compact Lie group $G$ , Part II, $G = E_{8}$

Fixed points subgroups by two involutive automorphisms $σ, γ$ of compact exceptional Lie groups $F_{4}, E_{6}$ and $E_{7}$