On the depth of separating algebras for finite groups

Jonathan Elmer

doi:10.1007/s13366-011-0030-1

On the depth of separating algebras for finite groups

Jonathan Elmer^*

^*Corresponding author for this work

Mathematical Science

Research output: Contribution to journal › Article

Abstract

Consider a finite group G acting on a vector space V over a field K of characteristic p > 0. A separating algebra is a subalgebra A of the ring of invariants K[V] ^G with the same point separation properties. In this article we compare the depth of an arbitrary separating algebra with that of the corresponding ring of invariants. We show that, in some special cases, the depth of A is bounded above by the depth of K[V] ^G.

Original language	English
Pages (from-to)	31-39
Number of pages	9
Journal	Beiträge zur Algebra und Geometrie
Volume	53
Issue number	1
Early online date	11 May 2011
DOIs	https://doi.org/10.1007/s13366-011-0030-1
Publication status	Published - Mar 2012

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Keywords

Cohomology modules
Depth
Invariant theory
Modular representation theory
Separating algebra

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

Cite this

Elmer, J. (2012). On the depth of separating algebras for finite groups. Beiträge zur Algebra und Geometrie, 53(1), 31-39. https://doi.org/10.1007/s13366-011-0030-1

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