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 27 for “"subalgebras"”.
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Structure of Intermediate C*-subalgebras of discrete group actions
This thesis deals with the structure of intermediate $C^*$-sub-algebras $\mathcal{B}$, either of the form $C_{\lambda}^*(\Gamma)\subseteq\mathcal{B}\subseteq\mathcal{A}\rtimes_r\Gamma$ or of the type $C(Y)\rtimes_r\Gamma\subseteq\mathcal{B}\subseteq C(X)\rtimes_r\Gamma$. We begin by investigating …
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Abelian subalgebras and ideals of maximal dimension in Lie algebras
En esta tesis se han estudiado subálgebras e ideales abelianos de álgebras de Lie, considerando dos invariantes, llamados alfa y beta, que representan el máximo entre la dimensión de todas las subálgebras abelianas (ideales para la beta) de un álgebra de Lie. Hemos desarrollado un estudio teórico …
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Unitarily invariant norms and tensor products of maximal injective von Neumann subalgebras
… a notion of completely singular von Neumann subalgebras and characterize the class of completely singular von Neumann subalgebras. In the fourth part, we study a longstanding open question on the tensor product of maximal injective von Neumann subalgebras.</p><p>The first part of the …
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Computational problems in algebra: units in group rings and subalgebras of real simple Lie algebras
… Finally I show algorithms for finding semisimple subalgebras of a given semisimple real Lie algebra.
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A classification of real and complex nilpotent orbits of reductive groups in terms of complex even nilpotent orbits
… orbits in g in terms of even nilpotent orbits of subalgebras of g and show how to determine these subalgebras and how to explicitly compute this correspondence. We prove a theorem parametrizing nilpotent orbits for strong involutions of G in terms of even nilpotent orbits of complex subalgebras of …
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Quantum Toroidal Superalgebras
… 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 existence of Miki automorphism of E(s), which exchanges the vertical and horizontal subalgebras. If …
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Estructura reticular y cuasiideal en álgebras alternativas
The lattice of subalgebras of an alternative algebra can determinate the algebraic structure of the algebra. In the first chapter, it is showed that, an alternative algebra with lattice of subalgebras isomorphic to a non division semisimple alternative algebra, is closely related with it. In the …
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Extended affine lie algebras and extended affine weyl groups
… Lie algebras) can be realized as fixed point subalgebras of some other extended affine Lie algebras (in particular simply laced extended affine Lie algebras) relative to some finite order automorphism. We show that extended affine Lie algebras of type A1, B, C and BC can be realized as twisted …
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Presentations of Semigroup Algebras of Weighted Trees
We study presentations for subalgebras of invariants of the coordinate algebras of binary symmetric models of phylogenetic trees studied by Buczynska and Wisniewski. These algebras arise as toric degenerations of projective coordinate rings of weight varieties of the Grassmannian of two planes …
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Geometry and representation theory of symplectic singularities in the context of symplectic duality
… A Nakajima quiver varieties by examining Bethe subalgebras in Yangians and linking their spectrum with Kirillov-Reshetikhin crystals.
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Hypercomplex scaling and wavelet filters: their discovery and their application to colour vector image processing
… isomorphic to each of the three two-dimensional subalgebras of the quaternions and some two-dimensional subalgebras of Cl(1,1) and Cl(2,0), Cl(1,0) being isomorphic to the rest: thus, we may use the values of the coefficients from complex and Cl(1,0) scaling and wavelet filters in the appropriate …
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Properties of Polynomial Identity Quantized Weyl Algebras
… terms of a general class of central polynomial subalgebras. From this we can classify all members of this family of algebras free over their centers while proving that their discriminants have the properties of effectiveness and local domination. Applying these results to the family of tensor …
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The generalized Harish-Chandra homomorphism for Hecke algebras of real reductive Lie groups
… 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 we present a generalized Harish-Chandra homomorphism construction for Hecke algebras, and establish …
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Von Neumann algebras, affiliated operators and representations of the Heisenberg relation
… are self-adjoint, strong-operator closed subalgebras (containing the identity operator) of the algebra of all bounded operators on a Hilbert space. Factors are von Neumann algebras whose centers consist of scalar multiples of the identity operator. In this thesis, we study unbounded …
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On the Operator Space UMD Property and Non-Commutative Martingale Inequalities
… filtration ( M n)n≥1 of von Neumann subalgebras. We also obtain the corresponding results for the real method of interpolation. We discuss the appropriate operator space matrix norms and show that these interpolation results hold in the category of operator spaces. We apply further …
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AN INTRODUCTION TO BOOLEAN ALGEBRAS
… lower bounds but extended our knowledge to subalgebras and families of subsets. The notions of cardinality, cellularity, and pairwise disjoint families were investigated, defined, and then used to understand the Erdös-Tarski Theorem.</p> <p>Lastly, this study concluded with the investigation …
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Nonstandard Methods in Lie Theory
… a directed family of ""uniformly enlargeable"" subalgebras whose union is dense. We prove an analogue of this result for a wider class of infinite-dimensional Lie algebras, namely the locally exponential Lie algebras. In geometric group theory, we give a nonstandard treatment of the theory of …
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MF algebras and a Bishop -Stone -Weierstrass theorem result
… Bishop-Stone-Weierstrass theorem for all unital subalgebras of M2&parl0;C&parr0; n with respect to its pure states. We show that the pure-state Bishop hull of a unital subalgebra (not necessarily selfadjoint) of M2&parl0;C&parr0; n is equal to itself.</p><p>This dissertation is partially …
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New symmetries from old: exploiting lie algebra structure to determine infinitesimal symmetries of differential equations
… for the infinitesimal generators of various subalgebras of a Lie symmetry algebra specified by infinitesimal determining equations. In particular we prove that the determining equations for the centre of the algebra can always be obtained.
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