Deligne-Lusztig virtual characters of GL_2(F_q) and GL_3(F_q)
碩士 === 國立清華大學 === 數學系 === 101 === The general method to find irreducible representations of GL2(Fq) and GL3(Fq) is using induction from Borel subgroup B or parabolic subgroup P. But there exists some irreducible characters which are not easy to find. We have to compose such characters with not obvio...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2013
|
| Online Access: | http://ndltd.ncl.edu.tw/handle/33313027630647115294 |
| id |
ndltd-TW-101NTHU5479020 |
|---|---|
| record_format |
oai_dc |
| spelling |
ndltd-TW-101NTHU54790202015-10-13T22:29:57Z http://ndltd.ncl.edu.tw/handle/33313027630647115294 Deligne-Lusztig virtual characters of GL_2(F_q) and GL_3(F_q) GL_2(F_q) 與 GL_3(F_q) 的 Deligne-Lusztig 虛擬特徵 Yu, Alison 俞若婷 碩士 國立清華大學 數學系 101 The general method to find irreducible representations of GL2(Fq) and GL3(Fq) is using induction from Borel subgroup B or parabolic subgroup P. But there exists some irreducible characters which are not easy to find. We have to compose such characters with not obvious way. Deligne-Lusztig give us better method to find irreducible characters of GL2(Fq) and GL3(Fq) by virtual characters RGT\theta for a pair of a maximal torus T and a character \theta of T. In this thesis we work out all Deligne-Lusztig virtual characters of GL2(Fq) and GL3(Fq). Pan, Shu-Yen 潘戍衍 2013 學位論文 ; thesis 41 en_US |
| collection |
NDLTD |
| language |
en_US |
| format |
Others
|
| sources |
NDLTD |
| description |
碩士 === 國立清華大學 === 數學系 === 101 === The general method to find irreducible representations of GL2(Fq) and GL3(Fq) is using induction from Borel subgroup B or parabolic subgroup P.
But there exists some irreducible characters which are not easy to find.
We have to compose such characters with not obvious way.
Deligne-Lusztig give us better method to find irreducible characters of GL2(Fq) and GL3(Fq) by virtual characters RGT\theta for a pair of a maximal torus T and a character \theta of T.
In this thesis we work out all Deligne-Lusztig virtual characters of GL2(Fq) and GL3(Fq).
|
| author2 |
Pan, Shu-Yen |
| author_facet |
Pan, Shu-Yen Yu, Alison 俞若婷 |
| author |
Yu, Alison 俞若婷 |
| spellingShingle |
Yu, Alison 俞若婷 Deligne-Lusztig virtual characters of GL_2(F_q) and GL_3(F_q) |
| author_sort |
Yu, Alison |
| title |
Deligne-Lusztig virtual characters of GL_2(F_q) and GL_3(F_q) |
| title_short |
Deligne-Lusztig virtual characters of GL_2(F_q) and GL_3(F_q) |
| title_full |
Deligne-Lusztig virtual characters of GL_2(F_q) and GL_3(F_q) |
| title_fullStr |
Deligne-Lusztig virtual characters of GL_2(F_q) and GL_3(F_q) |
| title_full_unstemmed |
Deligne-Lusztig virtual characters of GL_2(F_q) and GL_3(F_q) |
| title_sort |
deligne-lusztig virtual characters of gl_2(f_q) and gl_3(f_q) |
| publishDate |
2013 |
| url |
http://ndltd.ncl.edu.tw/handle/33313027630647115294 |
| work_keys_str_mv |
AT yualison delignelusztigvirtualcharactersofgl2fqandgl3fq AT yúruòtíng delignelusztigvirtualcharactersofgl2fqandgl3fq AT yualison gl2fqyǔgl3fqdedelignelusztigxūnǐtèzhēng AT yúruòtíng gl2fqyǔgl3fqdedelignelusztigxūnǐtèzhēng |
| _version_ |
1718077517731987456 |