An Elementary Derivation of the Matrix Elements of Real Irreducible Representations of so (3)

作者：Campoamor Stur**erg Rutwig^*

来源：Symmetry-Basel, 2015, 7(3): 1655-1669.

DOI：10.3390/sym7031655

• real representation
• matrix element
• tensor product

Using elementary techniques, an algorithmic procedure to construct skew-symmetric matrices realizing the real irreducible representations of so (3) is developed. We further give a simple criterion that enables one to deduce the decomposition of an arbitrary real representation R of so (3) into real irreducible components from the characteristic polynomial of an arbitrary representation matrix.

• 出版日期2015-9