Invariants of coinvariant algebras

• Published in: Forum mathematicum Vol. 27; no. 6; pp. 3425 - 3437
• Main Author: Smith, Larry
• Format: Journal Article
• Language: English
• Published: De Gruyter 01.11.2015
• Subjects: 13A50; 13B02; 13E10; 13H05; Invariant theory; Poincaré duality algebras

Let be a representation of a finite group over the field 𝔽 and let be a subgroup of . Form the algebra of polynomial functions on the representation space of ρ. The action of on extends to and we denote by the ; namely, the subalgebra of -invariant forms. The of ρ is the quotient algebra where the o...