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Generating functions associated to Frobenius algebras

Author
Alvarez, J.
Type of activity
Journal article
Journal
Linear algebra and its applications
Date of publication
2019-12-01
Volume
582
First page
310
Last page
326
DOI
10.1016/j.laa.2019.08.008
Repository
http://hdl.handle.net/2117/171180 Open in new window
URL
https://www.sciencedirect.com/science/article/abs/pii/S0024379519303428 Open in new window
Abstract
We introduce a generating function associated to the homogeneous gen-erators of a graded algebra that measures how far is this algebra from being finitelygenerated. For the case of some algebras of Frobenius endomorphisms we describe thisgenerating function explicitly as a rational function
Keywords
Complexity sequence, Frobenius algebra, Linear recurrence
Group of research
GEOMVAP - Geometry of Manifolds and Applications

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