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An affine Weyl group interpretation of the "motivated proofs" of the Rogers-Ramanujan and Gordon-Andrews-Bressoud identities
Descriptive
TitleInfo
Title
An affine Weyl group interpretation of the "motivated proofs" of the Rogers-Ramanujan and Gordon-Andrews-Bressoud identities
Name
(type = personal)
NamePart
(type = family)
Coulson
NamePart
(type = given)
Bud B.
NamePart
(type = date)
1987-
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Bud B. Coulson
Role
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(authority = RULIB)
author
Name
(type = personal)
NamePart
(type = family)
Lepowsky
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(type = given)
James
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James Lepowsky
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Advisory Committee
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chair
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HUANG
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YI-ZHI
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YI-ZHI HUANG
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Advisory Committee
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internal member
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Carbone
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Lisa
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Lisa Carbone
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Advisory Committee
Role
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internal member
Name
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Calinescu
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Corina
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Corina Calinescu
Affiliation
Advisory Committee
Role
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outside member
Name
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Rutgers University
Role
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(authority = RULIB)
degree grantor
Name
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NamePart
Graduate School - New Brunswick
Role
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school
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Text
Genre
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theses
OriginInfo
DateCreated
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2016
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2016-05
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2016
Place
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xx
Language
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(type = code)
eng
Abstract
(type = abstract)
A “motivated proof” of the Rogers-Ramanujan identities was given by G. E. Andrews and R. J. Baxter. This proof was generalized to the odd-moduli case of Gordon's identities by J. Lepowsky and M. Zhu, and later to the even-moduli case of the Andrew-Bressoud identities by S. Kanade, Lepowsky, M. C. Russell and A. Sills. We present a reinterpretation of these proofs, with new motivation coming from the affine Weyl group of $mathfrak{sl}(2)$.
Subject
(authority = RUETD)
Topic
Mathematics
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Rutgers University Electronic Theses and Dissertations
Identifier
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ETD_7231
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electronic resource
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application/pdf
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text/xml
Extent
1 online resource (vi, 72 p. : ill.)
Note
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Ph.D.
Note
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Includes bibliographical references
Note
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by Bud B. Coulson
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TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
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rucore19991600001
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NjNbRU
Identifier
(type = doi)
doi:10.7282/T32F7QK5
Genre
(authority = ExL-Esploro)
ETD doctoral
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Rights
RightsDeclaration
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The author owns the copyright to this work.
RightsHolder
(type = personal)
Name
FamilyName
Coulson
GivenName
Bud
MiddleName
B.
Role
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RightsEvent
Type
Permission or license
DateTime
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2016-04-14 13:18:16
AssociatedEntity
Name
Bud Coulson
Role
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Affiliation
Rutgers University. Graduate School - New Brunswick
AssociatedObject
Type
License
Name
Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
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Technical
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ETD
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windows xp
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2016-04-14T19:30:30
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2016-04-14T19:30:30
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