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Now showing items 31-40 of 746

#### Orbital varieties and unipotent representations of classical semisimple Lie group

(Massachusetts Institute of Technology, 2001)

Let G be a complex semi-simple and classical Lie group. The notion of a Lagrangian covering can be used to extend the method of polarizing a nilpotent coadjoint orbit to obtain a unitary representation of G. W. Graham and ...

#### A geometric theory of outliers and perturbation

(Massachusetts Institute of Technology, 2002)

We develop a new understanding of outliers and the behavior of linear programs under perturbation. Outliers are ubiquitous in scientific theory and practice. We analyze a simple algorithm for removal of outliers from a ...

#### Parallelism on p-surfaces in Riemannian manifolds.

(Massachusetts Institute of Technology, 1965)

#### Weakly nonlinear surface waves in a ferrofluid

(Massachusetts Institute of Technology, 1991)

#### Geometric approaches to computing Kostka numbers and Littlewood-Richardson coefficients

(Massachusetts Institute of Technology, 2004)

Using tools from combinatorics, convex geometry and symplectic geometry, we study the behavior of the Kostka numbers and Littlewood-Richardson coefficients (the type A weight multiplicities and Clebsch-Gordan coefficients). ...

#### Facility location and the analysis of algorithms through factor-revealing programs

(Massachusetts Institute of Technology, 2004)

In the metric uncapacitated facility location problem (UFLP), we are given a set of clients, a set of facilities, an opening cost for each facility, and a connection cost between each client and each facility satisfying ...

#### New examples of four dimensional AS-regular algebras

(Massachusetts Institute of Technology, 2005)

This thesis deals with AS-regular algebras, first defined by Michael Artin and William Schelter in Graded Algebras of Global Dimension 3. All such algebras of dimension three have been classified, but the corresponding ...

#### Partition identity bijections related to sign-balance and rank

(Massachusetts Institute of Technology, 2005)

In this thesis, we present bijections proving partitions identities. In the first part, we generalize Dyson's definition of rank to partitions with successive Durfee squares. We then present two symmetries for this new ...

#### The tautological classes of the moduli spaces of stable maps to flag varieties

(Massachusetts Institute of Technology, 2005)

We study the tautological classes of the Kontsevich-Manin moduli spaces of genus 0 stable maps to SL flag varieties. We prove that the rational cohomology and rational Chow rings of these spaces are isomorphic and that ...

#### Double affine Hecke algebras and noncommutative geometry

(Massachusetts Institute of Technology, 2005)

In the first part we study Double Affine Hecke algebra of type An-1 which is important tool in the theory of orthogonal polynomials. We prove that the spherical subalgebra eH(t, 1)e of the Double Affine Hecke algebra H(t, ...