Search
Now showing items 11-20 of 70
Symmetric Tensors and Combinatorics for Finite-Dimensional Representations of Symplectic Lie Algebras
(2012)
First, we develop a result using multilinear algebra to prove, in an elementary way, a useful identity between representations of $\mathfrak{sp}(4, \mathbb{C})$, which involves writing any irreducible representation as a ...
MODEL SELECTION USING AN INFORMATION THEORY APPROACH
(2010)
In this thesis we use the information theoretic approach in selecting the best
HOLONOMY DISPLACEMENT OF CURVES IN BUNDLE SO(N)->SO_0(1,N)->H^n
(2011)
The Riemannian submersion π : SO_0(1,n) ->H^n is a principal bundle and its fiber at π (e) is the imbedding of SO(n) into SO_0(1,n) , where e is the identity of both SO_0(1,n) and SO(n). In this study, we associate ...
Totally Reflected Groups
(2016-05-13)
A group G is totally reflected if it has a generating set S such that each edge in the Cayley graph Gamma(G,S) is inverted by some color-preserving reflection on the graph. For example, we will show that Coxeter groups and ...
Webs for Type Q Lie Superalgebras
(2017-12-15)
In the first part of this dissertation, we construct a monoidal supercategory whose morphism spaces are spanned by equivalence classes of diagrams called oriented type Q webs, modulo certain relations. We then prove a ...
MAASS SPACE FOR LIFTING TO GL(2,B) OVER A DIVISION QUATERNION ALGEBRA
(2019-08-01)
Muto, Narita and Pitale construct counterexamples to the Generalized Ramanujan Conjecture for GL(2,B) over the division quaternion algebra B with discriminant two via a lift from SL(2). In this dissertation, I characterize ...
Some sharp inequalities related to Moser-Tridinger-Onofri inequality
(2014-05)
In this dissertation, we focus on the study of sharp inequalities of Moser-
Trudinger-Onofri type. We first establish the analog Bliss and Hardy inequal-
ities with sharp constant involving exponential weight function. ...
NORM RETRIEVAL FROM SPATIOTEMPORAL SAMPLES
(2018-12)
The goal of this dissertation is to investigate norm retrievable frames having dynamical sampling structure, particularly those that fail the phase retrieval con- dition. We give several classifications to show how to ...
Some Types And Covers For Quaternionic Hermitian Groups
(2014-08-15)
In this dissertation we determine the reducibility of certain induced representations. We do this using Bushnell and Kutzko's method of types and covers. We consider certain quaternionic hermitian groups over a $p$-adic ...
SELF-DUAL REPRESENTATIONS WITH VECTORS FIXED UNDER AN IWAHORI SUBGROUP
(2012)
Let $G$ be the group of $F$-points of a split connected reductive $F$-group over a non-Archimedean local field $F$ of characteristic 0. Let $\pi$ be an irreducible smooth self-dual representation of $G$. The space $W$ of ...