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| 概要 |
Starting with a representation φ of a Euclidean Jordan algebra V by selfadjoint operators on a real Euclidean vector space E, we introduce a clan structure in V_E :=E⊕V. By the adjunction of a unit el...ement to V_E, we obtain a clan V^0_E with unit element. By computing the determinant of the right multiplication operators of V^0_E, we get an explicit expression of the basic relative invariants of V^0_E in terms of the Jordan algebra principal minors of V and the quadratic map associated with φ. For the dual clan of V^0_E, we also obtain an explicit expression of the basic relative invariants in a parallel way.続きを見る
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Mendeley出力
