Timeline for Character values of principal series representations of $GL_n(\mathbb{F}_q)$
Current License: CC BY-SA 4.0
9 events
when toggle format | what | by | license | comment | |
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Nov 5, 2019 at 18:13 | vote | accept | Sagars | ||
Nov 5, 2019 at 6:42 | comment | added | Sagars | thank you for the suggestions @JimHumphreys | |
Nov 5, 2019 at 6:41 | history | edited | Sagars |
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Nov 5, 2019 at 6:07 | vote | accept | Sagars | ||
Nov 5, 2019 at 7:13 | |||||
Nov 5, 2019 at 1:52 | answer | added | Peter McNamara | timeline score: 3 | |
Nov 4, 2019 at 16:17 | comment | added | Jim Humphreys | P.S. The tag 'algebraic-groups' is probably more suitable here than the tag 'lie-groups', since the methods used are most often algebraic though suggested by Harish-Chandra's analytic methods. | |
Nov 4, 2019 at 16:13 | comment | added | Jim Humphreys | The standard source for these characters is usually the paper by J.A. Green in the Transactions of AMS )1955), which is freely available online; or the version in Ian Macdonald's book (latest edition). In any case, the term principal seriesis most often used for the family of representations induced from 1-dimensjonal representaton of a Borel subgroup, here the upper (or lower) triangular matrices. (Carter's 1985 book has a more general viewpoint based on the Deligne-Lusztig construction.) | |
Nov 4, 2019 at 8:10 | review | First posts | |||
Nov 4, 2019 at 8:51 | |||||
Nov 4, 2019 at 8:06 | history | asked | Sagars | CC BY-SA 4.0 |