Timeline for Prime factorization of a group representation
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Apr 7, 2022 at 11:58 | comment | added | Tom WIlde | There are situations where such a factorization does exist and is unique, as studied for example in Ferguson, Pamela A.; Turull, Alexandre. Prime characters and factorizations of quasiprimitive characters. Math. Z. 190 (1985), no. 4, 583--604. MR0808924. (The representations are over $k=\mathbb C.$) The theory of so-called $\pi$-special characters of $\pi$-separable groups (see Theorem D in that paper, for example) is important in the study of characters of solvable and related classes of groups. | |
| Dec 29, 2020 at 20:49 | comment | added | Qiaochu Yuan | @Peter: ¯_(ツ)_/¯ As far as ideals go, there is the augmentation ideal which shows up in the Atiyah-Segal completion theorem: en.wikipedia.org/wiki/Atiyah%E2%80%93Segal_completion_theorem | |
| Dec 29, 2020 at 20:46 | history | edited | Qiaochu Yuan | CC BY-SA 4.0 |
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| Dec 29, 2020 at 20:46 | comment | added | Peter | This settles the unique factorization question. Is it useful to think about prime ideals in representation semi-rings at all? | |
| Dec 29, 2020 at 20:44 | vote | accept | Peter | ||
| Dec 29, 2020 at 20:42 | history | answered | Qiaochu Yuan | CC BY-SA 4.0 |