Engineering↗
Trace, Norm and the Characteristic Polynomial
Trace, norm and characteristic polynomial of a field element, their computation, and their use as invariants and cross-checks.
Every page in the KEVOS library tagged Invariants. 4 pages.
Trace, norm and characteristic polynomial of a field element, their computation, and their use as invariants and cross-checks.
Group homology and cohomology as derived functors of coinvariants and invariants, equivalently as Tor and Ext over the group ring, with the basic properties and long exact seque…
Lie algebra cohomology as Ext over the enveloping algebra, invariants and coinvariants, the explicit description in degrees 0 and 1, and derivations.
Explicit descriptions of H^0, H^1 and H_1 for group cohomology, with trivial and non-trivial coefficients, and their interpretations.