Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux

[2406.16879] Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Quantum Algebra arXiv:2406.16879 (math) [Submitted on 14 Apr 2024 ( v1 ), last revised 9 Apr 2026 (this version, v3)] Title: Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux Authors: Nick Early , Jian-Rong Li View a PDF of the paper titled Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux, by Nick Early and 1 other authors View PDF HTML (experimental) Abstract: Finite dimensional simple modules of quantum affine algebras of type A correspond to semistandard Young tableaux of rectangular shapes. In this paper, we classify all prime modules corresponding to 2-column semistandard Young tableaux, up to a conjectural property. Moreover, we give a conjectural sufficient condition for a module corresponding to a tableau with more than two columns to be prime. Comments: This is a part of the original file arXiv:2303.05618v3 . The original file arXiv:2303.05618v3 is splited into two parts. The other part of the original file arXiv:2303.05618v3 has the title: Tropical Geometry, Quantum Affine Algebras, and Scattering Amplitudes Subjects: Quantum Algebra (math.QA) Cite as: arXiv:2406.16879 [math.QA] (or arXiv:2406.16879v3 [math.QA] for this version) https://doi.org/10.48550/arXiv.2406.16879 Focus to learn more arXiv-issued DOI via DataCite Journal reference: J Algebr Comb 62, 6 (2025) Related DOI : https://doi.org/10.1007/s10801-025-01435-1 Focus to learn more DOI(s) linking to related resources Submission history From: Jian-Rong Li [ view email ] [v1] Sun, 14 Apr 2024 10:56:08 UTC (15 KB) [v2] Wed, 16 Apr 2025 09:26:59 UTC (16 KB) [v3] Thu, 9 Apr 2026 00:36:04 UTC (16 KB) Full-text links: Access Paper: View a PDF of the paper titled Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux, by Nick Early and 1 other authors View PDF HTML (experimental) TeX Source view license Current browse context: math.QA < prev | next > new | recent | 2024-06 Change to browse by: math References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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