Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Irreducible characters of the unitriangular group and coadjoint orbits

Tools
- Tools
+ Tools

André, Carlos Alberto Martins (1992) Irreducible characters of the unitriangular group and coadjoint orbits. PhD thesis, University of Warwick.

[img]
Preview
PDF
WRAP_Theses_Andre_1992.pdf - Submitted Version - Requires a PDF viewer.

Download (8Mb) | Preview
Official URL: http://webcat.warwick.ac.uk/record=b3251937~S15

Request Changes to record.

Abstract

The method of coadjoint orbits was introduced by Kirillov to study the unitary irreducible representations of a nilpotent Lie groups. Afterwards Kazhdan adapted this method to determine the irreducible complex characters of a finite unipotent group. We use this method to study the irreducible complex characters of any finite unitriangular group.

In chapters 2 and 5 we established an orthogonal decomposition of the regular character of any finite unitriangular group.

Chapters 3 and 4 are concerned with coadjoint orbits of any unitriangular group defined over an algebraically closed field. Chapter 3 is essentially the orbit version of chapter 2. In fact we obtain a decomposition of the dual space of the niltriangular Lie algebra as a disjoint union of invariant subvarieties. In a certain sense this decomposition corresponds to the one obtained in chapter 2 and 5.

Item Type: Thesis (PhD)
Subjects: Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH): Nilpotent Lie groups, Linear algebraic groups
Official Date: May 1992
Dates:
DateEvent
May 1992UNSPECIFIED
Institution: University of Warwick
Theses Department: Mathematics Institute
Thesis Type: PhD
Publication Status: Unpublished
Supervisor(s)/Advisor: Carter, Roger W. (Roger William)
Sponsors: Fundação Calouste Gulbenkian
Format of File: pdf
Extent: xi, 248 leaves : illustrations
Language: eng

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us