Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 34 for “"group action"”.
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Experimental Investigation of Group Action Factor for Bolted Wood Connections
… of testing to determine the significance of the group action factor at the 5% offset yield and capacity of single-shear bolted wood connections loaded parallel to grain. The single and multiple-bolt connections tested represent common connection geometries used in wood construction in the United …
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Homology of Configuration Spaces of Surfaces as Mapping Class Group Representations
… viewed as representations of the mapping class group of the surface, distinguishing between various flavours: ordered and unordered configurations, of closed surfaces and surfaces with boundary, and with different homology coefficients. In Chapter 2, we prove a version of the scanning …
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Fusion action systems by Matthew J.K. Gelvin.
… fusion first arose in the local theory of finite groups. Puig abstracted the fusion data of a finite group to the notion of fusion system, an object that reflects local data in more abstract algebraic settings, such as the block theory of finite groups. Martino and Priddy conjectured that the …
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Knot Floer Homology and Categorification
… twisted Soergel bimodules and construct a braid group action on the homotopy category of complexes of twisted Soergel bimodules. We prove that the category of twisted Soergel bimodules categorifies the Hecke algebra with an extra indeterminate and its inverse adjoined. The braid group action, …
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The Symmetriad : a journey of discovery through the land of the polychora
… Euclidean space. Given a finite reflection group (a Coxeter group) G, there is a standard way to give G a group action on n-space. Reflecting a point through this group action yields an object that exhibits the symmetries specified by G. If the point is chosen well, the object is guaranteed …
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A minimization of a curvature functional on fiber bundles
… second is an $S\sp2$ fiber bundle with an SO(3) group action. In each case, the tangent space of the bundle can be decomposed into a vertical space, those vectors tangent to fibers, and a horizontal space complementary to the vertical space and invariant under the group action. The bundle can be …
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Finite Groups Acting on Sets With Applications
… Magazine appears an article entitled "Finite Groups Acting on Sets With Applications," by Louis W. Shapiro. The article poses a series of problems in a step-by-step manner involving finite group action on sets, the Polya-Burnside Theorem, and the First and Second Sylow Theorems. The purpose or …
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Tilting sheaves for real groups and Koszul duality
… of real analytic varieties with the real Lie group action we define a tstructure on the category of equivariant-monodromic sheaves and develop the theory of tilting sheaves. In case of a quasi-split real form of an algebraic group acting on the flag variety we construct an analog of a Soergel …
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On trigonometric and elliptic Cherednik algebras
… operators on an abelian variety with a finite group action. Using these elliptic Dunkl operators, we construct a new family of quantum integrable systems.
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Equivariant coherent sheaves, Soergel bimodules, and categorification of affine Hecke algebras
… the affine flag manifold (for the Langlands dual group). We prove results relating all three of these categorifications, and use them to deduce nontrivial equivalences of categories. In addition, our main theorem allows us to deduce the existence of a strict braid group action on all of the …
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Computational Algebraic Geometry Applied to Invariant Theory
… along with the notion of invariance under a group action of GLn(C). Computational difficulties are also discussed in reference to Groebner bases and Invariant theory.The straitening law is presented from a Groebner basis point of view and is motivated as being a key piece of machinery in …
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MUTATION INVARIANT FUNCTIONS ON CLUSTER ENSEMBLES ASSOCIATED WITH SURFACES
… function on a cluster ensemble with respect to a group action of the cluster modular group on its associated function fields. We realize many examples of previously studied functions as elements of this type of invariant ring and give many new examples. We construct invariants for cluster algebras …
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On the signature of the Shapovalov form
… unitary representations of a real reductive group is equivalent to the algebraic problem of classifying the Harish-Chandra modules admitting a positive definite invariant Hermitian form. Finding a formula for the signature of the Shapovalov form is a related problem which may be a necessary …
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Equivariant dynamics and categories of equivariant vector fields
… a way to take into account the symmetries of the group action without passing to the orbit space. In particular, the category of equivariant vector fields near a relative equilibrium is equivalent to the category of equivariant vector fields on the slice representation of the relative equilibrium. …
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The structure of promises in quantum speedups
… functions f defined on orbits of the symmetric group action S., (which acts on an element of {0, 1, . . . , M - I}f by permuting its entries). We also show that when M is constant, any function f defined on a "symmetric set" - one invariant under Sn - satisfies R(f) = O(Q(f)12(M-1)).
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In Search of Homo Sociologicus
… in a social network that contains multiple subgroups. Epistemic logic is the study of logical systems that express mathematical properties of knowledge and belief. In recent years, there have been increasing number of new epistemic logic systems that are focused on community properties such as …
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Characterization and properties of some light-open mappings
… without boundary is the orbit map of a group action if and only if f|x - f<sup>-1</sup>(f(B<sub>f</sub>)) is a regular covering where B<sub>f</sub> is the set of points at which f fails to be a local homeomorphism.</p> <p>This generalizes a result of Edmonds (Branched Coverings and the …
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Quantum Toroidal Superalgebras
… that all such superalgebras are isomorphic, an action of the toroidal braid group is constructed. The superalgebra E(s) contains two distinguished subalgebras, both isomorphic to the quantum affine superalgebra Uq sl̂(m|n) with parity "s", called vertical and horizontal subalgebras. We show the …
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Hamiltonian Actions In Integral Kahler And Generalized Complex Geometry
… specialization of the basic case of Hamiltonian actions on symplectic manifolds, and the second a generalization of the basic case. Brion proved a convexity result for the moment map image of an irreducible subvariety of a compact integral Kahler manifold preserved by the complexification a of …
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The eleven dimensional supergravity equations, resolutions and Lefschetz fiber metrics
… In the third part, the resolution of a compact group action in the sense described by Albin and Melrose is applied to the conjugation action by the unitary group on self-adjoint matrices. It is shown that the eigenvalues are smooth on the resolved space and that the trivial tautological bundle …
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