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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