Equivariant Hilbert series of monomial orbits
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- by Sema Güntürkün and Uwe Nagel PDF
- Proc. Amer. Math. Soc. 146 (2018), 2381-2393 Request permission
Abstract:
The equivariant Hilbert series of an ideal generated by an orbit of a monomial under the action of the monoid ${\textrm {Inc} (\mathbb {N})}$ of strictly increasing functions is determined. This is used to find the dimension and degree of such an ideal. The result also suggests that the description of the denominator of an equivariant Hilbert series of an arbitrary ${\textrm {Inc} (\mathbb {N})}$-invariant ideal as given by Nagel and Römer is rather efficient.References
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Additional Information
- Sema Güntürkün
- Affiliation: Department of Mathematics, University of Michigan, 530 Church Street, East Hall, Ann Arbor, Michigan 48109
- ORCID: 0000-0002-1417-2909
- Email: gunturku@umich.edu
- Uwe Nagel
- Affiliation: Department of Mathematics, University of Kentucky, 715 Patterson Office Tower, Lexington, Kentucky 40506-0027
- MR Author ID: 248652
- Email: uwe.nagel@uky.edu
- Received by editor(s): August 22, 2016
- Received by editor(s) in revised form: August 31, 2017
- Published electronically: February 16, 2018
- Additional Notes: The second author was partially supported by Simons Foundation grant #317096.
The authors are grateful to the referee for a very careful reading of the manuscript. - Communicated by: Irena Peeva
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 2381-2393
- MSC (2010): Primary 13F20, 13A02, 13D40, 13A50
- DOI: https://doi.org/10.1090/proc/13943
- MathSciNet review: 3778142