Reports in Informatics Recurrence Relation for the Factors in the Polar Decomposition on Lie Groups Recurrence Relation for the Factors in the Polar Decomposition on Lie Groups

@inproceedings{Zanna2000ReportsII,
  title={Reports in Informatics Recurrence Relation for the Factors in the Polar Decomposition on Lie Groups Recurrence Relation for the Factors in the Polar Decomposition on Lie Groups},
  author={Antonella Zanna},
  year={2000}
}
In this paper we consider the polar decomposition on a Lie group G endowed with an involutive automorphism , as considered in (Munthe-Kaas, Quispel & Zanna 2000). In that paper, among other things, it was shown that z = exp(tZ) 2 G, Z 2 g, can be decomposed as z = xy, where x = exp(X(t)) and y = exp(Y (t)), where X(t) 2 p and Y (t) 2 k, g = p k being a… CONTINUE READING