Representations and conjugacy classes of general linear groups over principal ideal local rings of length two[HBNI Th 21]

DSpace/Manakin Repository

Representations and conjugacy classes of general linear groups over principal ideal local rings of length two[HBNI Th 21]

Show full item record

Title: Representations and conjugacy classes of general linear groups over principal ideal local rings of length two[HBNI Th 21]
Author: Pooja Singla
Advisor: Amritanshu Prasad
Degree: Ph.D
Main Subjects: Mathematics
Institution: HBNI
Year: 2010
Pages: 50p.
Abstract: The irreducible complex representations and conjugacy classes of general linear groups over principal ideal local rings of length two with a fixed finite residue field is studied in this thesis. A canonical correspondence is constructed between the irreducible representations of all such groups which preserves dimensions and a canonical correspondence between the conjugacy classes of all such groups which preserves cardinalities. All the irreducible representations are constructed for general linear groups of order three and four over these rings. It is shown that the problem of constructing all the irreducible representations of the general linear groups over principal ideal local rings of arbitrary length in the function field case.
URI: http://hdl.handle.net/123456789/198

Files in this item

Files Size Format View
HBNI Th21PoojaSingla.pdf 502.8Kb PDF View/Open

This item appears in the following Collection(s)

Show full item record

Search DSpace


Advanced Search

Browse

My Account