Subrepresentation semirings and an analogue of 6j-symbols

Identifier

etd-04102007-153445

Author

Nam Hee Kwon, Louisiana State University and Agricultural and Mechanical CollegeFollow

Degree

Doctor of Philosophy (PhD)

Department

Mathematics

Document Type

Dissertation

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.

Date

2007

Document Availability at the Time of Submission

Release the entire work immediately for access worldwide.

Recommended Citation

Kwon, Nam Hee, "Subrepresentation semirings and an analogue of 6j-symbols" (2007). LSU Doctoral Dissertations. 2720.
https://repository.lsu.edu/gradschool_dissertations/2720

Committee Chair

Daniel Sage

DOI

10.31390/gradschool_dissertations.2720