Weil homomorphism and Eguchi, Gilkey and Hanson

[Jean Dominique Laenge]

I read in "Gravitation, Gauge Theories and Differential Geometry" by
Eguchi, Gilkey and Hanson on page 301:

"The Weil homomorphism: It is well-known that the "Casimir invariants"
or polynomials in the center of a Lie algeba G with matrix basis {X_i}
are generated by the determinant

Det(t \times identity + a_i \times X_i)=\sum_k (t^k \times P_k(a_i))."

Does anybody know where I can find something more specific in literature
concerning this topic?

[Boudewijn Moonen]

Jean Dominique Laenge wrote:

Try Kobayashi-Nomizu, Differential geometry Vol II.

Regards,

--
Boudewijn Moonen
Institut fuer Photogrammetrie der Universitaet Bonn
Nussallee 15

D-53115 Bonn

GERMANY