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Full-Text Articles in Physical Sciences and Mathematics
Building Voters: Exploring Interdependent Preferences In Binary Contexts, Ian Calaway
Building Voters: Exploring Interdependent Preferences In Binary Contexts, Ian Calaway
Mathematics, Statistics, and Computer Science Honors Projects
In this thesis we develop a new method for constructing binary preference orders for given interdependent structures, called characters. We introduce the preference space, which is a vector space of preference vectors. The preference vectors correspond to binary preference orders. We show that the hyperoctahedral group, Z2 o Sn, describes the symmetries of binary preferences orders and then define an action of Z2 o Sn on our preference vectors. We find a natural basis for a preference space. These basis vectors are indexed by subsets of proposals. We show that when completely separable binary preference vectors are decomposed using this …
Bases For Mckay Centralizer Algebras, Lucas Gagnon
Bases For Mckay Centralizer Algebras, Lucas Gagnon
Mathematics, Statistics, and Computer Science Honors Projects
The finite subgroups of the special unitary group SU2 have been classified to be isomorphic to one of the following groups: cyclic, binary dihedral, binary tetrahedral, binary octahedral, and binary icosahedral, of order n, 4n, 24, 48, and 120, respectively. Associated to each group is a representation graph, which by the McKay correspondence is a Dynkin diagram of type Aˆ n−1, Dˆ n+2, Eˆ 6, Eˆ 7, or Eˆ 8. The centralizer algebra Zk(G) = EndG(V ⊗k ) is the algebra of transformations that commute with G acting on the k-fold tensor product of the defining representation V = C …
Blossom: A Language Built To Grow, Jeffrey Lyman
Blossom: A Language Built To Grow, Jeffrey Lyman
Mathematics, Statistics, and Computer Science Honors Projects
No abstract provided.