國立虎尾科技大學 |

Conjugating Representations into Lie Subgroups.

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	Conjugating Representations into Lie Subgroups./
作者:	Miller, Jared Tristan.
面頁冊數:	1 online resource (116 pages)
附註:	Source: Dissertations Abstracts International, Volume: 85-12, Section: B.
Contained By:	Dissertations Abstracts International85-12B.
標題:	Theoretical mathematics. -
電子資源:	click for full text (PQDT)
ISBN:	9798382786698

Conjugating Representations into Lie Subgroups.
Miller, Jared Tristan.

Conjugating Representations into Lie Subgroups. - 1 online resource (116 pages)

Source: Dissertations Abstracts International, Volume: 85-12, Section: B.

Thesis (Ph.D.)--The Florida State University, 2024.

Includes bibliographical references

Properties of the space of representations of a surface group into a given simple Lie group is a very active area of research and is particularly relevant to higher Teichmuller theory. For a closed surface, classical Teichmuller space is a connected component of the moduli space of representations into PSL2(R) and showed that the space of positive representations into PSLk(R) coincides with the Hitchin component. In this dissertation we study representations of finitely generated groups into PGLk(C) and determine necessary and sufficient conditions for such a representation to be conjugate into PGLk(R). In this way, we identify representations in the larger representation variety which are conjugate in PGLk(C) to a representation in hom π1(Σ), PGLk(R)) /PGLk(R).

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2024

Mode of access: World Wide Web

ISBN: 9798382786698Subjects--Topical Terms:

1180455
Theoretical mathematics.
Subjects--Index Terms:

Fock-GoncharovIndex Terms--Genre/Form:

554714
Electronic books.

Conjugating Representations into Lie Subgroups.
LDR:02123ntm a22003977 4500 001 1148216
005 20240916070030.5
006 m o d
007 cr bn ---uuuuu
008 250605s2024 xx obm 000 0 eng d
020 $a 9798382786698
035 $a (MiAaPQ)AAI30994512
035 $a AAI30994512
040 $a MiAaPQ $b eng $c MiAaPQ $d NTU
100 1 $a Miller, Jared Tristan. $3 1474139
245 1 0 $a Conjugating Representations into Lie Subgroups.
264 0 $c 2024
300 $a 1 online resource (116 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertations Abstracts International, Volume: 85-12, Section: B.
500 $a Advisor: Ballas, Samuel.
502 $a Thesis (Ph.D.)--The Florida State University, 2024.
504 $a Includes bibliographical references
520 $a Properties of the space of representations of a surface group into a given simple Lie group is a very active area of research and is particularly relevant to higher Teichmuller theory. For a closed surface, classical Teichmuller space is a connected component of the moduli space of representations into PSL2(R) and showed that the space of positive representations into PSLk(R) coincides with the Hitchin component. In this dissertation we study representations of finitely generated groups into PGLk(C) and determine necessary and sufficient conditions for such a representation to be conjugate into PGLk(R). In this way, we identify representations in the larger representation variety which are conjugate in PGLk(C) to a representation in hom π1(Σ), PGLk(R)) /PGLk(R).
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2024
538 $a Mode of access: World Wide Web
650 4 $a Theoretical mathematics. $3 1180455
650 4 $a Mathematics. $3 527692
653 $a Fock-Goncharov
653 $a Geometry
653 $a Lie groups
653 $a Projective space
653 $a Projective transformations
653 $a Topology
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
690 $a 0642
710 2 $a The Florida State University. $b Mathematics. $3 1180541
710 2 $a ProQuest Information and Learning Co. $3 1178819
773 0 $t Dissertations Abstracts International $g 85-12B.
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=30994512 $z click for full text (PQDT)