INDECOMPOSABLE REPRESENTATIONS OF THE EUCLIDEAN ALGEBRA ๐ข(3) FROM IRREDUCIBLE REPRESENTATIONS OF
INDECOMPOSABLE REPRESENTATIONS OF THE EUCLIDEAN ALGEBRA ๐ข(3) FROM IRREDUCIBLE REPRESENTATIONS OF
Abstract The Euclidean group E (3) is the noncompact, semidirect product group E (3)โ
โ 3 โSO(3). It is the Lie group of orientation-preserving isometries of three-dimensional Euclidean space. The Euclidean algebra ๐ข(3) is the complexification of the Lie algebra of E (3). We embed the Euclidean algebra ๐ข(3) into the โฆ