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- W2897138523 abstract "In this thesis we expand upon a line of research pioneered by Freedman, Lovasz and Schrijver, and Szegedy, that uses algebraic methods to characterize families of partition functions. We introduce two new types of partition functions: skew partition functions and mixed partition functions. We give two algebraic characterizations of skew partition functions and we show that a mixed partition functions satisfy certain algebraic relationships that are related to the invariant of the symmetric group and to the invariant theory of the Orthosymplectic Supergroup. We furthermore give a characterization of real-valued partition functions for 3-graphs and for virtual link diagrams in terms of positive semidefiniteness of the associated connection matrices." @default.
- W2897138523 created "2018-10-26" @default.
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- W2897138523 date "2018-01-01" @default.
- W2897138523 modified "2023-09-26" @default.
- W2897138523 title "New characterizations of partition functions using connection matrices" @default.
- W2897138523 hasPublicationYear "2018" @default.
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