Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The strong Lefschetz property of Gorenstein algebras generated by relative invariants
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by Takahiro Nagaoka and Akihito Wachi;
Proc. Amer. Math. Soc. 152 (2024), 3635-3646
DOI: https://doi.org/10.1090/proc/16870
Published electronically: July 19, 2024

Abstract:

We prove the strong Lefschetz property for Artinian Gorenstein algebras generated by the relative invariants of prehomogeneous vector spaces of commutative parabolic type.
References
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Bibliographic Information
  • Takahiro Nagaoka
  • Affiliation: Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto, 606-8522 Japan
  • MR Author ID: 1284981
  • Akihito Wachi
  • Affiliation: Department of Mathematics, Hokkaido University of Education, Kushiro 085-8580, Japan
  • MR Author ID: 646624
  • ORCID: 0009-0005-2010-0855
  • Email: wachi.akihito@k.hokkyodai.ac.jp
  • Received by editor(s): April 25, 2023
  • Received by editor(s) in revised form: January 17, 2024
  • Published electronically: July 19, 2024
  • Additional Notes: This work was supported by JSPS KAKENHI Grant Numbers 22K03347, 20K03508.
  • Communicated by: Jerzy Weyman
  • © Copyright 2024 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 152 (2024), 3635-3646
  • MSC (2020): Primary 13E10, 11S90, 17B10
  • DOI: https://doi.org/10.1090/proc/16870
  • MathSciNet review: 4781961