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.
Results
Showing 1 to 20 of 65 for “"Lie Algebras"”.
-
Gradings of Lie Algebras
… is to present an introduction to gradings of Lie algebras. The aim is twofold: to lay the necessary foundations to become (in the near future) an algebraist working in this area of research, and to tackle the problem of finding and classifying the Lie algebras arising as graded contractions of …
-
Simple Lie algebras and their classification
This thesis is about the classification of simple Lie algebras. We start with some basic structure theory given in Chapter 2. Thereafter in Chapters 3 to 5 we give the complete classification over a field of characteristic zero. In Chapter 6 we discuss the notion ofChevalley basis which is …
-
Contractions and Deformations of Lie Algebras
Made available in DSpace on 2014-12-11T18:23:36Z (GMT). No. of bitstreams: 1 7114707.pdf: 2619429 bytes, checksum: ffcd337566f7243eeb95fe37174d9958 (MD5) Previous issue date: 1970
-
On Cohomology Theory for Lie Algebras
Made available in DSpace on 2014-12-05T21:49:58Z (GMT). No. of bitstreams: 1 0002734.pdf: 2068302 bytes, checksum: 7457c1195d87a4d1ef0fcfe565b2f83a (MD5) Previous issue date: 1951
-
Quadratic Lie algebras. Algorithms and (de)constructions
… dissertation we are going to study quadratic Lie algebras, with special interest in the ones which are 2-step nilpotent, and to give algorithmic procedures to build a wide range of examples. After an introduction and a overview of the known results in this matter, we start with a …
-
A History of Complex Simple Lie Algebras
… by his work in differential equations, Sophus Lie wondered about categorizing what he called “closed systems of commutative transformations,” while around the same time, Wilhelm Killing’s work on non-Euclidean geometry encountered related topics. As mathematicians recognized this as a division …
-
Lie Algebras of Differential Operators and D-modules
In our thesis we study the algebras of differential operators in algebraic and geometric terms. We consider two problems in which the algebras of differential operators naturally arise. The first one deals with the algebraic structure of differential and pseudodifferential operators. We define the …
-
On Representations of Lie Algebras of Classical Type
Made available in DSpace on 2014-12-09T22:17:46Z (GMT). No. of bitstreams: 1 6901369.pdf: 1962173 bytes, checksum: 5f5a70947fd10b4eda9460ed7e57fed2 (MD5) Previous issue date: 1968
-
Graded Lie Algebras, Compactified Jacobians and Arithmetic Statistics
A simply laced Dynkin diagram gives rise to a family of curves over Q and a coregular representation, using deformations of simple singularities and Vinberg theory respectively. Thorne has conjectured and partially proven a strong link between the arithmetic of these curves and the rational orbits …
-
Extended affine lie algebras and extended affine weyl groups
This thesis is about 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 …
-
Abelian subalgebras and ideals of maximal dimension in Lie algebras
… 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 en el capítulo dos, con …
-
On the Classification of Simple Lie Algebras of Prime Characteristic
Made available in DSpace on 2015-05-12T21:43:34Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 7000886.PDF: 1368031 bytes, checksum: b5ed98d1a1ff65528c1cc695da406e48 (MD5) Previous issue date: 1969
-
The Classical Lie algebras are more simple than they may appear
… this dissertation is to consider the classical Lie Algebras, namely: so(n, C), sl(n, C) and sp(n, C), n ≥ 2. Our aim will be to prove that if a Lie Algebra L is classical, except for so(2, C) and so(4, C), then it is simple. The classification and analysis will include finding their root systems …
-
Topological uniqueness results for the special linear and other classical Lie Algebras.
… the topological uniqueness of the special linear Lie algebras over local fields other than the complex numbers (for which this result is not true) in the context of complete separable metric Lie rings. Along the way the topological uniqueness of all local fields other than the field of complex …
-
A study of vertex operator constructions for some infinite dimensional lie algebras
… thesis we construct a module for the toroidal Lie algebra and the extended toroidal Lie algebra of type A₁. The Fock module representation obtained here is faithful and completely reducible over the extended toroidal Lie algebra. We also study the level two vertex operator representation of the …
-
On a class of extended toroidal Lie algebras coming from untwisted affine Yangians
… so-called \say{$\gamma$-extended toroidal Lie algebras}. Originally, these $\gamma$-extended toroidal Lie algebras were created to aid with endowing \say{toroidal Lie algebras}, i.e. universal central extensions: $$\toroidal$$ of the Lie algebras of the form: $$\g[v^{\pm 1}, t^{\pm 1}] := …
-
Modules over affine lie algebras at critical level and quantum groups by Qian Lin.
There are two algebras associated to a reductive Lie algebra g: the De Concini- Kac quantum algebra and the Kac-Moody Lie algebra. Recent results show that the principle block of De Concini -Kac quantum algebra at an odd root of unity with (some) fixed central character is equivalent to the core of …
-
Jacobi-type methods on semisimple Lie algebras : a Lie algebraic approach to numerical linear algebra
Es wird eine Lie-algebraische Verallgemeinerung sowohl des klassischen als auch des Sortier-Jacobi-Verfahrens für das symmetrische Eigenwertproblem behandelt. Der koordinatenfreie Zugang ermöglicht durch eine neue Betrachtungsweise die Vereinheitlichung strukturierter Eigen- und …
Page 1 of 4