Construction of p −1 Irreducible Modules with Fundamental Highest Weight for the Symplectic Group in Characteristic p: Construction of \(p-1\) irreducible modules with fundamental highest weight for the symplectic group in characteristic \(p\)
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| Title: | Construction of p −1 Irreducible Modules with Fundamental Highest Weight for the Symplectic Group in Characteristic p: Construction of \(p-1\) irreducible modules with fundamental highest weight for the symplectic group in characteristic \(p\) |
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| Authors: | Rod Gow |
| Source: | Journal of the London Mathematical Society. 58:619-632 |
| Publisher Information: | Wiley, 1998. |
| Publication Year: | 1998 |
| Subject Terms: | Representation theory for linear algebraic groups, exterior algebras, dimension formulas, Modular representations and characters, Representations of finite groups of Lie type, symplectic groups, 0101 mathematics, irreducible modules, 01 natural sciences, Group rings of finite groups and their modules (group-theoretic aspects) |
| Description: | The modules described in the title are constructed by means of a contraction map on an exterior algebra, induced by a nondegenerate alternating bilinear form. The details are formidable. It is noted that the dimensions of these modules cannot be obtained easily if \(p>3\), although a formula in terms of generalized Fibonacci numbers is given when \(p=5\). |
| Document Type: | Article |
| File Description: | application/xml |
| Language: | English |
| ISSN: | 0024-6107 |
| DOI: | 10.1112/s002461079800667x |
| Access URL: | https://zbmath.org/1350204 https://doi.org/10.1112/s002461079800667x http://doi.wiley.com/10.1112/S002461079800667X https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S002461079800667X https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/construction-of-p1-irreducible-modules-with-fundamental-highest-weight-for-the-symplectic-group-in-characteristic-p/E63EF882562CE016C0F5510913021EB7 |
| Rights: | Wiley Online Library User Agreement |
| Accession Number: | edsair.doi.dedup.....35cafae181c9d05dc5d525416a8992d9 |
| Database: | OpenAIRE |
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Nájsť tento článok vo Web of Science | Abstract: | The modules described in the title are constructed by means of a contraction map on an exterior algebra, induced by a nondegenerate alternating bilinear form. The details are formidable. It is noted that the dimensions of these modules cannot be obtained easily if \(p>3\), although a formula in terms of generalized Fibonacci numbers is given when \(p=5\). |
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| ISSN: | 00246107 |
| DOI: | 10.1112/s002461079800667x |