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 69 for “"homomorphism"”.
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The geometry of homomorphism-valued inner products.
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 1973
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The quantum Johnson homomorphism and symplectomorphism of 3-folds
… familiar Johnson kernel X9 and second Johnson homomorphism - 2 from low-dimensional topology. The method is quite general, and unlike many abstract tools, explicitly computable in certain nice cases. As an application, we prove the existence of symplectomorphism ... of infinite order in …
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The generalized Harish-Chandra homomorphism for Hecke algebras of real reductive Lie groups
… Lie algebras g, the classical Harish-Chandra homomorphism allows to link irreducible finite dimensional representations of g to those of certain subalgebras l. The Casselman-Osborne theorem establishes an extension of this link to infinite dimensional irreducible representations. In this paper …
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Canonical solution groups of a homomorphism : manipulator kinematics, nonparametric regression and distributed object systems
… mapping of a rigid open-link manipulator is a homomorphism between Lie groups. The homomorphisrn has solution groups that act on an inverse kinematic solution element. A canonical representation of solution group operators that act on a solution element of three and seven degree-of-freedom …
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Homomorphisms into the Fundamental Group of One-Dimensional and Planar Peano Continua
… with fundamental group H. We show that every homomorphism from H to the fundamental group of X is conjugate to a homomorphism which is induced by a continuous function.
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Homomorphisms of semi-holonomic verma modules : an exceptional case.
… orthogonal group SO(n, C). A Verma module homomorphism will corresponds to an invariant operator on the flat space. The obvious question is: how can we generalize these operators to cases where there is curvature? In this thesis we will look at a variation of Verma modules called …
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Towards a functor between affine and finite Hecke categories in type A
… category, partly categorifying a certain natural homomorphism of the corresponding Hecke algebras. This homomorphism sends generators of the Bernstein's commutative subalgebra inside the affine Hecke algebra to Jucys-Murphy elements in the finite Hecke algebra. Construction employs the general …
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Subgroups of the Torelli group
… which SIP-maps are in the kernel of the Johnson homomorphism and Birman-Craggs-Johnson homomorphism. <BR> <BR> Then we will look at the symmetric Torelli group, SI(Sg). More specifically, we will investigate the group generated by Dehn twists about symmetric separating curves denoted H(Sg). We …
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Generalized Clifford Theory (Group Ring, Frobenius Extensions)
… elements and let l : R (--->) S be a ring homomorphism preserving their identity elements. Then any S-module W can be regarded as an R-module W(,R). Also, for any right R-module V, we can form the "induced" S-Module V('S) = V (CRTIMES)(,R) S. Fixing a right R-module V, we let A = End(,R)(V) …
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First l²-Cohomology Groups
… countably-infinite locally-finite, the induced homomorphism is not an embedding. However, even though the induced homomorphism is not an embedding, we still have that H^1(G, l^2(G)) neq 0 when G is countably-infinite locally-finite. Finally, we give some sufficient conditions for H^1(G,l^2(G)) …
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Motivic Polylogarithms for the Goodwillie -Lichtenbaum Complex
We also construct a homomorphism from H1M (Spec C,Z (n)) to R using differential forms and prove that it generalizes D. We expect it agree with the Borel regulator map up to a constant multiplication.
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On the theory of Boolean vector spaces
… vector spaces and their associated linear homomorphism (transformation) spaces which at present remain unanswered. The purpose of this dissertation will be to continue the development of the theory of Boolean vector spaces while attempting to provide answers to some of these questions. …
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Geometric and homological methods in group theory: constructing small group resolutions
… module A2 --> A1. where δ2 is crossed module homomorphism. Proposition 4.1 together with this free crossed module δ2 : A2 --> A1 define a 2-dimensional free crossed resolution for A2 --> A1 --> G (see Proposition 4.9). We then define an exact sequence A3 --> A2 --> A1, where A3, is an (A1/ …
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Cohomology Jumping Loci and the Relative Malcev Completion
… is the Malcev completion S_p of G relative to a homomorphism p from G into (C^*)^N. The relative completion S_p is a prosolvable group that generalizes the classical Malcev completion; when p is the trivial representation, S_p is the Malcev completion of G. The group S_p is tightly controlled by …
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Examining Connections among Instruction, Conceptual Metaphors, and Beliefs of Instructors and Students
… the professors use to describe isomorphisms and homomorphisms and what relationship exists between these metaphors and the mathematical content in instruction? 4. What is the relationship between the mathematical content in instruction and conceptual metaphors the students use to describe …
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Topos-like Properties in Two Categories of Graphs and Graph-like Features in an Abstract Category
… on any vertex, and the usual notion of a graph homomorphism is a mapping of graphs that sends vertices to vertices, edges to edges, and preserves incidence of the mapped vertices and edges. A more general view is to create a category of graphs that allows graphs to have multiple edges between …
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Topos-like Properties in Two Categories of Graphs and Graph-like Features in an Abstract Category
… on any vertex, and the usual notion of a graph homomorphism is a mapping of graphs that sends vertices to vertices, edges to edges, and preserves incidence of the mapped vertices and edges. A more general view is to create a category of graphs that allows graphs to have multiple edges between …
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partial translation algebras for certain discrete metric spaces
… when a map of metric spaces gives rise to a homomorphism<br/>of related partial translation algebras. Using this homomorphism, we construct<br/>a C*-algebra extension for subspaces of groups, which we employ to<br/>compute K-theory for the algebra arising from a particular subspace of …
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The odd chern character and obstruction theory
… of the Chern character, i.e. of being a ring homomorphism. The reader is assumed to have some background in topological Δ-theory and algebraic topology.
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Separability within alternating groups and randomness
… \} \subset W \setminus H$ there is a surjective homomorphism $f$ from $W$ to a finite alternating group such that $f (\gamma_i) \notin f (H)$ . A corollary is that a right-angled Artin group splits as a direct product of cyclic groups and groups with many alternating quotients in the above sense. …
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