Representation Theory of Algebraic Groups and Related Topics : Proceedings of the workshop on Representation Theory, September 15,16, 2012 JOSAI UNIVERSITY

The cone of real positive definite symmetric matrices with prescribed zeros plays an important role in statistics. Letac and Massam [7] claimed a simple criterion for such a cone to be homogeneous. In this article, we give a complete proof of their statement and related results.Representation Theory of Algebraic Groups and Related Topics : Proceedings of the workshop on Representation Theory, September 15,16, 2012 JOSAI UNIVERSITY / edited by Masatoshi IIDA, Takeyoshi KOGISO, Haruko NISHI, Kiyoko NISHIZAWA