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p-Harmonic Functions on the Semi-Riemannian Lie Groups SU(n) and SU(p,q)

Ingelström, Albin LU (2020) In Master's Theses in Mathematical Sciences MATM01 20201
Mathematics (Faculty of Engineering)
Mathematics (Faculty of Sciences)
Abstract
The goal of this thesis is to construct p-harmonic functions on the Lie groups U(n), SU(n), U(p,q) and SU(p,q) equipped with the semi-Riemannian metric

g(Z,W) = Re trace ( Z W^t ).

To do this we present a method which relies on the notion of eigenfunctions. We define these functions and find examples of them defined on the relevant groups. To our knowledge, these eigenfunctions have not been presented before, and hence, constitute new results.
Please use this url to cite or link to this publication:
author
Ingelström, Albin LU
supervisor
organization
course
MATM01 20201
year
type
H2 - Master's Degree (Two Years)
subject
keywords
p-harmonic functions, eigenfunctions
publication/series
Master's Theses in Mathematical Sciences
report number
LUNFMA-3121-2020
ISSN
1404-6342
other publication id
2020:E67
language
English
id
9027016
date added to LUP
2024-10-25 09:41:23
date last changed
2024-10-25 09:41:23
@misc{9027016,
  abstract     = {{The goal of this thesis is to construct p-harmonic functions on the Lie groups U(n), SU(n), U(p,q) and SU(p,q) equipped with the semi-Riemannian metric 

g(Z,W) = Re trace ( Z W^t ). 

To do this we present a method which relies on the notion of eigenfunctions. We define these functions and find examples of them defined on the relevant groups. To our knowledge, these eigenfunctions have not been presented before, and hence, constitute new results.}},
  author       = {{Ingelström, Albin}},
  issn         = {{1404-6342}},
  language     = {{eng}},
  note         = {{Student Paper}},
  series       = {{Master's Theses in Mathematical Sciences}},
  title        = {{p-Harmonic Functions on the Semi-Riemannian Lie Groups SU(n) and SU(p,q)}},
  year         = {{2020}},
}