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University of Illinois at Urbana-Champaign

Products in Lambda-Rings

Abstract

dc:description

A method is provided for the practical computation of the coefficients for a number of structural polynomials of the universal (lamda)-ring in one indeterminant. In particular, we derive a method for the computation of the inner product extending that of Lascoux. We also introduce a method that reduces the analysis of the plethysm, at least for special cases, to solving a system of linear Diophantine equations in a distinguished region of space.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mathematics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2014

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Brennan, Joseph Patrick

Subjects

dc:subject × 1

Identifiers

dc:identifier.*
Identifier
(UMI)AAI8409753
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/71211

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Brennan, Joseph Patrick. Products in Lambda-Rings. Dissertation thesis, University of Illinois at Urbana-Champaign, 2014. http://hdl.handle.net/2142/71211