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Webs for Type Q Lie Superalgebras
(2017-12-15)
In the first part of this dissertation, we construct a monoidal supercategory whose morphism spaces are spanned by equivalence classes of diagrams called oriented type Q webs, modulo certain relations. We then prove a ...
F-Harmonic Maps in Kahler Geometry
(2017-05-12)
Let u be an F-harmonic map between Kahler manifolds of finite dimensions. When is u holomorphic or anti-holomorphic? In the special case of a harmonic map, Y. T. Siu gave an affirmative answer when the target manifold is ...
Convergence Rates for Stationary Distributions of Semistochastic Processes
(2017-05)
The primary objects of study in this dissertation are semistochastic processes. The types of semistochastic processes we consider are continuous-time and continuous-state processes consisting of intervals of deterministic ...
Representations of the marked Brauer algebra
(2017-05-12)
The marked Brauer algebra is a generalization of the diagrammatic Brauer algebra which diagrammatizes Moon's centralizer algebra for the type \mathfrak{p} Lie superalgebra. We prove that the marked Brauer algebra is a ...