Accession Number : AD0603122

Title :   ALGEBRAIC ASPECTS OF PROLONGATIONS.

Descriptive Note : Technical rept. no. 22,

Corporate Author : WASHINGTON UNIV SEATTLE

Personal Author(s) : Johnson,Harold H.

Report Date : JUL 1964

Pagination or Media Count : 7

Abstract : In his theory of exterior differential systems E. Cartan often studied algebraic structures which contain such information as the characters. This note studies one of these structures which we call the 'Cartan function'. Inequivalent systems may have isomorphic Cartan functions. But if two systems have the same Cartan function so do their total prolongations, and this may be obtained algebraically. A similar theory for partial prolongations appears to be impossible, for two systems with identical Cartan functions may partially prolong to systems with different Cartan functions. All manifolds, functions and forms are infinitely differentiable.

Descriptors :   (*ALGEBRA, SPECIAL FUNCTIONS (MATHEMATICAL)), (*SPECIAL FUNCTIONS (MATHEMATICAL), ALGEBRA), GROUPS (MATHEMATICS), DIFFERENTIAL EQUATIONS, MAPPING (TRANSFORMATIONS), INTEGRAL EQUATIONS, THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE