Computational Algebraic Geometry Applied to Invariant Theory

Simple item page
dc.contributor.authorShifler, Ryan M.en
dc.contributor.committeechairBrown, Ezra A.en
dc.contributor.committeememberGreen, Edward L.en
dc.contributor.committeememberBall, Joseph A.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2013-06-06T08:00:42Zen
dc.date.available2013-06-06T08:00:42Zen
dc.date.issued2013-06-05en
dc.description.abstractCommutative algebra finds its roots in invariant theory and the connection is drawn from a modern standpoint. The Hilbert Basis Theorem and the Nullstellenstatz were considered lemmas for classical invariant theory. The Groebner basis is a modern tool used and is implemented with the computer algebra system Mathematica. Number 14 of Hilbert\'s 23 problems is discussed along with the notion of invariance under a group action of GLn(C). Computational difficulties are also discussed in reference to Groebner bases and Invariant theory.The straitening law is presented from a Groebner basis point of view and is motivated as being a key piece of machinery in proving First Fundamental Theorem of Invariant Theory.en
dc.description.degreeMaster of Scienceen
dc.format.mediumETDen
dc.identifier.othervt_gsexam:810en
dc.identifier.urihttp://hdl.handle.net/10919/23154en
dc.publisherVirginia Techen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectGroebner Basisen
dc.subjectInvariant Theoryen
dc.subjectAlgorithmen
dc.titleComputational Algebraic Geometry Applied to Invariant Theoryen
dc.typeThesisen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Shifler_RM_T_2013.pdf
Size:
473.43 KB
Format:
Adobe Portable Document Format
Download

Collections

Masters Theses