SUBREPRESENTATION SEMIRINGS AND AN ANALOGUE OF 6j-SYMBOLS
نویسندگان
چکیده
Let G be a quasi simply reducible group, and let V be a representation of G over the complex numbers 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 SG(End(V )), and we study the representation theory of a quasi simply reducible group G laying emphasis on our newG-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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