Home
Resource
Spectral functions of invariant operators on skew multiplicity free spaces
PDF
PDF format is widely accepted and good for printing.
Plug-in required
PDF-1(380.96 kb)
Citation & Export
View Usage Statistics
Staff View

Citation & Export
Hide

Simple citation

Weingart, Michael. Spectral functions of invariant operators on skew multiplicity free spaces. Retrieved from https://doi.org/doi:10.7282/T3N016FP

Export

Click here for information about Citation Management Tools at Rutgers.

Statistics
Hide

Description

TitleSpectral functions of invariant operators on skew multiplicity free spaces
NameWeingart, Michael (author); Knop, Friedrich (chair); Goodman, Roe (internal member); Sahi, Siddhartha (internal member); Nguyen, Hieu (outside member); Rutgers University; Graduate School - New Brunswick
Date Created2007
Other Date2007 (degree)
SubjectMathematics, Differential operators, Skew fields, Combinatorial analysis
Extentvi, 84 p. : ill.
DescriptionThis thesis extends results on spectral functions of invariant differential operators on multiplicity free spaces to the setting of skew multiplicity free spaces, which are representations of a reductive group whose exterior algebra decomposes into a direct sum of pairwise nonisomorphic irreducibles. We prove in the general skew multiplicity free case that the spectral functions satisfy a vanishing property and a transposition formula which are formally identical to those satisfied by their multiplicity free analogues. We investigate two special cases, the GL_nC modules S^2C^n and Wedge^2 C^n, for which the spectral functions of invariant operators form a family of supersymmetric functions which can be identified with the factorial Schur Q functions. From this equivalence we deduce several properties of each family, giving the spectral functions a combinatorial interpretation and the factorial Schur Q functions a new representation theoretic one.
NotePh.D.
NoteIncludes abstract
NoteVita
NoteIncludes bibliographical references
Noteby Michael Weingart
Genretheses, ETD doctoral
Persistent URLhttps://doi.org/doi:10.7282/T3N016FP
Languageeng
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
Version 8.5.5
Rutgers University Libraries - Copyright ©2024