A METHOD OF CLASSIFICATION OF REAL IRREDUCIBLE REPRESENTATIONS OF REAL SEMI-SIMPLE LIE ALGEBRAS

In this article an n. a. s. c. of relativity of complex finite dimensional representations of areal semi-simple Lie algebra and an n. a. s. c. in which an autocorrelative representation admits anantiinvolution of the first kind have simply and precisely been given by using the Satake diagramsand the knowledge of the highest weights of the representations. By the way, in [9] an n. a. s. c.in which finite dimensional complex irreducible representations of real simple Lie algebras are realones has been computed by means of the mothod of the article. The results heve emended theoversight of [1] about the（2m-1）basic representation of Dand of [3] about Eand E.