A Note on Frobenius Character Formula

[2608.15192] A Note on Frobenius Character Formula Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Representation Theory arXiv:2608.15192 (math) [Submitted on 15 Aug 2026] Title: A Note on Frobenius Character Formula Authors: Inayat R. Bhat View a PDF of the paper titled A Note on Frobenius Character Formula, by Inayat R. Bhat View PDF HTML (experimental) Abstract: In this note we give an alternative derivation of Frobenius Character Formula using wedge product, the resulting formula is used to calculate the character table of $S_{2}$ and $S_{3}$ Group which reproduces their character table correctly, calculations for classes of $S_{3}$ Group are given in the appendix B. The calculations are given in terms Schur Functions. In the first section, a brief indicative review of Symmetric Group and related formulas is given. In Section second we derive the formula. A naive approach to computational complexity is also presented at the end. Comments: 23 pages Subjects: Representation Theory (math.RT) Cite as: arXiv:2608.15192 [math.RT] (or arXiv:2608.15192v1 [math.RT] for this version) https://doi.org/10.48550/arXiv.2608.15192 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Inayat Rasool Bhat [ view email ] [v1] Sat, 15 Aug 2026 12:15:01 UTC (12 KB) Full-text links: Access Paper: View a PDF of the paper titled A Note on Frobenius Character Formula, by Inayat R. Bhat View PDF HTML (experimental) TeX Source view license Current browse context: math.RT < prev | next > new | recent | 2026-08 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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