Invariant Theory of Finite Groups

More documents

Recommendations

Info

Invariant Theory of Finite Groups – p. 18/2General QuestionsI. Constructive Complexity of A Ggenerators and relations for algebra A G(fundamental systems of invariants)degree bounds (for generators and/or relations)II. Structural complexity of A Gwhen is A G polynomial ring?distance of A G from being a polynomial ringdistance of A G from being free as module over hsopcohomological co - dimension: depth(A G )As in representation theory:char F ̸ | |G| ⇐⇒ non − modular case;char F | |G| ⇐⇒ modular case.
Invariant Theory of Finite Groups – p. 19/2Noether’s theoremTheorem (Emmy Noether (1926)): If G is a finite group, then A G isa finitely generated F-algebra.Proof:
Page 1 and 2: Invariant Theory of Finite Groups -
Page 6 and 7: Geometric BackgroundAlgebraic Geome
Page 18 and 19: ExamplesSymmetric polynomials:G :=

Invariant Theory of Finite Groups

Create successful ePaper yourself

Delete template?

Save as template?