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On characteristic p Verma modules and subalgebras of the hyperalgebraCarstensen, Vivi January 1994 (has links)
Let G be a finite dimensional semisimple Lie algebra; we study the class of infinite dimensional representations of Gcalled characteristic p Verma modules. To obtain information about the structure of the Verma module Z(λ) we find primitive weights μ such that a non-zero homomorphism from Z(μ) to Z(λ) exists. For λ + ρ dominant, where ρ is the sum of the fundamental roots, there exist only finitely many primitive weights, and they all appear in a convex, bounded area. In the case of λ + ρ not dominant, and the characteristic p a good prime, there exist infinitely many primitive weights for the Lie algebra. For G = sl<sub>3</sub> we explicitly present a large, but not necessarily complete, set of primitive weights. A method to obtain the Verma module as the tensor product of Steinberg modules and Frobenius twisted Z(λ<sub>1</sub>) is given for certain weights, λ = p<sup>n</sup> λ<sub>1</sub> + (p<sup>n</sup> — 1)ρ. Furthermore, a result about exact sequences of Weyl modules is carried over to Verma modules for sl<sub>2</sub>. Finally, the connection between the subalgebra u¯<sub>1</sub> of the hyperalgebra U for a finite dimensional semisimple Lie algebra, and a group algebra KG for some suitable p-group G is studied. No isomorphism exists, when the characteristic of the field is larger than the Coxeter number. However, in the case of p — 2 we find u¯<sub>1</sub>sl<sub>3</sub>≈ KG. Furthermore, we determine the centre ofu¯<sub>n</sub>sl<sub>3</sub>, and we obtain an alternative K-basis of U-.
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Coefficient space properties and a Schur algebra generalizationTurner, David P., January 2005 (has links) (PDF)
Thesis (Ph.D.)--Auburn University, 2005. / Abstract. Vita. Includes bibliographic references (ℓ. 43) and index.
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On rings with distinguished ideals and their modulesBuckner, Joshua. Dugas, Manfred. January 2007 (has links)
Thesis (Ph.D.)--Baylor University, 2007. / In abstract "s and z " are subscript. Includes bibliographical references (p. 54-55).
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Ranks and bounds for indecomposable modules over one-dimensional Noetherian ringsLuckas, Melissa R. January 1900 (has links)
Thesis (Ph.D.)--University of Nebraska-Lincoln, 2007. / Title from title screen (site viewed Apr. 29, 2008). PDF text: 103 p. : ill. ; 493 K. UMI publication number: AAT 3283908. Includes bibliographical references. Also available in microfilm and microfiche formats.
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Electrical characterization of a multilayer low temperature co-fireable ceramic multichip module /Barton, Cecil Edward, January 1994 (has links)
Thesis (M.S.)--Virginia Polytechnic Institute and State University, 1994. / Vita. Abstract. Includes bibliographical references (leaves 84-86). Also available via the Internet.
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Generalization of cofinitely supplemented modules to lattıces /Çetindil, Yasin. Alizade, Rafail, January 2005 (has links) (PDF)
Thesis (Master)--İzmir Institute of Technology, İzmir, 2005. / Keywords: Supplemented modules, cofinitely supplemented modules, cofinitely supplemented lattices, generalization of supplemented modules, generalization of cofinitely supplemented modules. Includes bibliographical references (leaves .p26).
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Hilbert-Samuel polynomials and building indecomposable modulesCrabbe, Andrew January 2008 (has links)
Thesis (Ph.D.)--University of Nebraska-Lincoln, 2008. / Title from title screen (site viewed Jan. 13, 2009). PDF text: 40 p. ; 747 K. UMI publication number: AAT 3315330. Includes bibliographical references. Also available in microfilm and microfiche formats.
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Reflexive Moduln auf einfach-elliptischen FlächensingularitätenKahn, Constantin P. M. January 1988 (has links)
Thesis (doctoral)--Universität Bonn, 1988. / Includes bibliographical references (p. 179-184).
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The lattice of submodules of a module over a non commutative ringFeller, Edmund Harry, January 1954 (has links)
Thesis (Ph. D.)--University of Wisconsin--Madison, 1954. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 43-44).
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Structures galoisiennes dans les extensions métabéliennes.Jaulent, Jean-François, January 1900 (has links)
Th. 3e cycle--Méthodes d'approximation et algorithmes en anal. et théor. des nombres--Besançon, 1979. N°: 315.
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