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 138 for “"Weyl"”.
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Weyl Gröbner Basis Cryptosystems
… class of such cryptosystems by introducing the Weyl Gröbner Basis Cryptosystems. We divide this class of cryptosystems in two parts namely the (left) Weyl Gröbner Basis Cryptosystems and Two-Sided Weyl Gröbner Basis Cryptosystems. We suggest to use Gröbner bases for left and two-sided ideals in …
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Bundle gerbes and the Weyl map
… to the pullback of the basic bundle gerbe by the Weyl map. This result enriches our understanding of the basic bundle gerbe, which has numerous applications in physics.
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Magnetic Weyl Semimetals for Spintronic Applications
Magnetic Weyl semimetals are a category of topological materials that hold promise for spintronic applications due to their unconventional transport properties, which arise from both bulk and surface topological states, as well as the rich interplay between band topology and magnetism. Among the …
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Schur Weyl duality in complex rank
… thesis gives an analogue to the classical Schur-Weyl duality in the setting of Deligne categories. Given a finite-dimensional unital vector space V (i.e. a vector space V with a distinguished non-zero vector 1) we give a definition of a complex tensor power of V. This is an Ind-object of the …
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Properties of Polynomial Identity Quantized Weyl Algebras
… this work on Polynomial Identity (PI) quantized Weyl algebras we begin with a brief survey of Poisson geometry and quantum cluster algebras, before using these as tools to classify the possible centers of such algebras in two different ways. In doing so we explicitly calculate the formulas of the …
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Effective multiple mixing in Weyl chamber actions
… of certain multiple correlation coefficients for Weyl chamber actions of semidirect products of semisimple groups with $G$-vector spaces. Using these estimates we get decay for corresponding actions in some semisimple groups of higher rank and homogeneous spaces of semidirect products of real …
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Topics in Weyl geometry and quantum anomalies
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-02-04 without embargo terms
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Generalisations of the theorem of Peter and Weyl
… which is used in the proof of the Peter-Weyl Theorem. A comparative analysis of different arguments, which have been used to prove the Fourier Theorem and the Peter-Weyl Theorem in the literature, is illustrated in the present thesis. Therefore, we note that some arguments apply to …
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Affine quantum algebras, Weyl groups and constructible functions
… study a realization of the group algebra of the Weyl group in a convolution algebra of constructible functions on the Steinberg variety, and examine how this may be used to see Springer representations.
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Extended affine lie algebras and extended affine weyl groups
… extended affine Lie algebras and extended affine Weyl groups. In Chapter I, we provide the basic knowledge necessary for the study of extended affine Lie algebras and related objects. In Chapter II, we show that the well-known twisting phenomena which appears in the realization of the twisted …
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DEGENERATE SECOND ORDER NONLINEAR OPTICAL SPECTROSCOPY OF CHIRAL WEYL SEMIMETALS
… the measurement of topological properties of the Weyl semimetals. The first portion of this thesis describes technical developments of the nonlinear optical spectroscopic probes rotational anisotropy second harmonic generation (RA-SHG) and transient grating. In our work on SHG, we describe a …
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COMPOSITION AND PRESSURE DEPENDENT STUDY ON WEYL SEMIMETAL Mo1-xWxTe2
… work, the doping and pressure effects on the Weyl semimetal Mo1−xWxTe2 have been investigated. A series of single crystals of Mo1−xWxTe2 for x = 0, 0.10, 0.30, 0.40, 0.50, 0.70, 0.75, 0.90, and 1 were synthesized using the self-flux method (for parent compounds MoTe2 and WTe2) and the chemical …
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Weyl Pseudodifferential Calculus and the Heisenberg Group in New Settings
We examine both Weyl pseudodifferential calculus and the Heisenberg group in new settings, through two published papers and a chapter representing work towards a construction of Haar bases of unimodular LC groups. We finish with some remarks about an extension of both Heisenberg group and …
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Dynamique du réseau dans les semimétaux de Weyl sous champ magnétique
Les semimétaux de Weyl constituent l’un des sujets les plus suivis de la dernière décennie dans le domaine des matériaux quantiques. Malgré cet engouement récent pour ces nouveaux matériaux, leur histoire remonte à près d’un siècle, avec la première description en physique quantique …
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Single-petaled K-types and Weyl group representations for classical groups
… K-types for split groups. First, we prove that a Weyl group algebra element represents the action of the long intertwining operator for each single-petaled K-type, and then we demonstrate that a Weyl group algebra element represents a part of the long intertwining operator for each …
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Nonreciprocal and Exotic Radiative Transfer in Type-I Magnetic Weyl Semimetals
… recently discovered family of quantum materials—Weyl semimetals—can possess intrinsic nonreciprocity due to the Berry curvature, an internal, pseudo-magnetic field. In this dissertation, we explore thermal radiation from type-I magnetic Weyl semimetals in planar configurations in the far- and …
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Determination of Realistic Effective Models for Weyl Semimetals of the TaAs Family
… insulators with the material family Bi2Se3 and Weyl semimetals with the material family TaAs as concrete application examples. After a detailed introduction into the peculiarities of topological quantum materials, the essential physical properties of topological insulators and Weyl semimetals …
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Results on the number of zero modes of the Weyl-Dirac operator
… a given magnetic potential A one can define the Weyl-Dirac operator σ·(−i∇−A) on R 3 . An L 2 eigenfunction of σ · (−i∇ − A) corresponding to 0 is called a zero mode. In this thesis we will be concerned with the zero mode problem for the WeylDirac operator and some related problems. The main …
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