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A systematic approach to the design and analysis of linear algebra algorithmsGunnels, John Andrew. January 2001 (has links)
Thesis (Ph. D.)--University of Texas at Austin, 2001. / Vita. Includes bibliographical references. Available also from UMI/Dissertation Abstracts International.
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Lattice subgroups of Kac-Moody groupsCobbs, Ila Leigh, January 2009 (has links)
Thesis (Ph. D.)--Rutgers University, 2009. / "Graduate Program in Mathematics." Includes bibliographical references (p. 86-88).
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The C*-algebras associated with irrational time homeomorphisms of suspensions /Itzá-Ortiz, Benjamín A., January 2003 (has links)
Thesis (Ph. D.)--University of Oregon, 2003. / Typescript. Includes vita and abstract. Includes bibliographical references (leaves 68-69). Also available for download via the World Wide Web; free to University of Oregon users.
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Spanning subsets of a finite abelian group of order pq /Eyl, Jennifer S. January 2003 (has links) (PDF)
Thesis (M.S.)--University of North Carolina at Wilmington, 2003. / Vita. Includes bibliographical references (leaf : [31]).
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Prime solutions in arithmetic progressions of some quadratic equationsand linear equations樊家榮, Fan, Ka-wing. January 2000 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
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Character generators and graphs for simple lie algebrasOkeke, Nnamdi, University of Lethbridge. Faculty of Arts and Science January 2006 (has links)
We study character generating functions (character generators) of simple Lie algebras. The
expression due to Patera and Sharp, derived from the Weyl character formula, is ¯rst re-
viewed. A new general formula is then found. It makes clear the distinct roles of \outside"
and \inside" elements of the integrity basis, and helps determine their quadratic incompati-
bilities. We review, analyze and extend the results obtained by Gaskell using the Demazure
character formulas. We ¯nd that the fundamental generalized-poset graphs underlying the
character generators can be deduced from such calculations. These graphs, introduced by
Baclawski and Towber, can be simpli¯ed for the purposes of constructing the character
generator. The generating functions can be written easily using the simpli¯ed versions,
and associated Demazure expressions. The rank-two algebras are treated in detail, but we
believe our results are indicative of those for general simple Lie algebras. / vii, 92 leaves ; 29 cm.
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On the Reduced Operator Algebras of Free Quantum GroupsBrannan, Michael Paul 03 August 2012 (has links)
In this thesis, we study the operator algebraic structure of various classes of unimodular free quantum groups, including thefree orthogonal quantum groups $O_n^+$, free unitary quantum groups $U_n^+$, and trace-preserving quantum automorphism groups associated to finite dimensional C$^\ast$-algebras.
The first objective of this thesis to establish certain approximation properties for the reduced operator algebras associated to the quantum groups $\G = O_n^+$ and $U_n^+$, ($n \ge 2$). Here we prove that the reduced von Neumann algebras $L^\infty(\G)$ have the Haagerup approximation property, the reduced C$^\ast$-algebras $C_r(\G)$ have Grothendieck's metric approximation property, and that the quantum convolution algebras $L^1(\G)$ admit multiplier-bounded approximate identities.
We then go on to study trace-preserving quantum automorphism groups $\G$ of finite dimensional C$^\ast$-algebras $(B, \psi)$, where $\psi$ is the canonical trace on $B$ induced by the regular representation of $B$. Here, we extend several known results for free orthogonal and free unitary quantum groups to the setting of quantum automorphism groups. We prove that the discrete dual quantum groups $\hG$ have the property of rapid decay, the von Neumann algebras $L^\infty(\G)$ have the Haagerup approximation property, and that $L^\infty(\G)$ is (in most cases) a full type II$_1$-factor. As applications of these and other results, we deduce the metric approximation property, exactness, simplicity and uniqueness of trace for the reduced C$^\ast$-algebras $C_r(\G)$, and the existence of multiplier-bounded approximate identities for the convolution algebras $L^1(\G)$. We also show that when $B$ is a full matrix algebra, $L^\infty(\G)$ is an index $2$ subfactor of $L^\infty(O_n^+)$, and thus solid and prime.
Finally, we investigate strong Haagerup inequalities in the context of quantum symmetries arising from actions of free quantum groups on non-commutative random variables. We prove a generalization of the strong Haagerup inequality for $\ast$-free R-diagonal families due to Kemp and Speicher, and apply this result to study strong Haagerup inequalites for the free unitary quantum groups. / Thesis (Ph.D, Mathematics & Statistics) -- Queen's University, 2012-07-31 12:45:57.767
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An algebraic study of residuated ordered monoids and logics without exchange and contraction.Van Alten, Clint Johann. January 1998 (has links)
Please refer to the thesis for the abstract. / Thesis (Ph.D.)-University of Natal, Durban, 1998.
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Implicit systems : orthogonal functions analysis and geometryFountain, David Wilkes 08 1900 (has links)
No description available.
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Groups of principal homogeneous spaces for some Hopf orders arising from formal groupsSommaro, Silvia January 2001 (has links)
No description available.
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