Title page for ETD etd-04102007-153445


Type of Document Dissertation
Author Kwon, Nam Hee
URN etd-04102007-153445
Title Subrepresentation Semirings and an Analogue of 6j-Symbols
Degree Doctor of Philosophy (Ph.D.)
Department Mathematics
Advisory Committee
Advisor Name Title
Daniel Sage Committee Chair
Gestur Olafsson Committee Member
Jorge Morales Committee Member
Lawrence Smolinsky Committee Member
Pramod Achar Committee Member
Bijaya Karki Dean's Representative
Keywords
  • 6j-symbols
  • semirings
  • representations
Date of Defense 2007-03-26
Availability unrestricted
Abstract
Let G be a quasi simply reducible group, and let V be a representation of G over the complex numbers $mathbb{C}$. In this thesis, we introduce the twisted 6j-symbols over G which have their origin to Wigner's 6j-symbols over the group SU(2) to study the structure constants of the subrepresentation semiring S_{G}(End(V)), and we study the representation theory of a quasi simply reducible group G laying emphasis on our new G-module objects. We also investigate properties of our twisted 6j-symbols by establishing the link between the twisted 6j-symbols and Wigner's 3j-symbols over the group G.
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