Invariants of coinvariant 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...
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| Published in | Forum mathematicum Vol. 27; no. 6; pp. 3425 - 3437 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
De Gruyter
01.11.2015
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| Subjects | |
| Online Access | Get full text |
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| Summary: | 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
of
(or better put, of ρ) is the
ideal of
generated by all the homogeneous
-invariant forms of strictly positive
degree. The group
acts on
and the subject of this manuscript is
the algebra
of
-invariants of |
|---|---|
| ISSN: | 0933-7741 1435-5337 |
| DOI: | 10.1515/forum-2013-0151 |