Invariant theory, arithmetic and vector bundles

1996 ◽  
pp. 77-106
Author(s):  
Allan Adler ◽  
Sundararaman Ramanan
Keyword(s):  
Invariant Theory ◽  
Vector Bundles

Moduli of Vector Bundles, Frobenius Splitting, and Invariant Theory

1996 ◽  
Vol 144 (2) ◽  
pp. 269 ◽  
Author(s):  
V. B. Mehta ◽  
T. R. Ramadas
Keyword(s):  
Invariant Theory ◽  
Vector Bundles ◽  
Frobenius Splitting ◽  
Moduli Of Vector Bundles

Standard monomial bases, Moduli spaces of vector bundles, and Invariant theory

2006 ◽  
Vol 11 (4) ◽  
pp. 673-704 ◽  
Author(s):  
V. Lakshmibai ◽  
K.N. Raghavan ◽  
P. Sankaran ◽  
P. Shukla
Keyword(s):  
Moduli Spaces ◽  
Invariant Theory ◽  
Vector Bundles ◽  
Standard Monomial

scholarly journals NOTES ON COHERENT SYSTEMS

2020 ◽  
Vol 28 (1) ◽  
pp. 1-38
Author(s):  
ALEXANDER H.W. SCHMITT
Keyword(s):  
Moduli Spaces ◽  
Invariant Theory ◽  
Vector Bundles ◽  
Geometric Invariant Theory ◽  
Geometric Invariant ◽  
Coherent Systems ◽  
Alternative Approach

We present an alternative approach to semistability and moduli spaces for coherent systems associated with decorated vector bundles. In this approach, it seems possible to construct a Hitchin map. We relate some examples to classical problems from geometric invariant theory.

Banach Lie Algebroids

2011 ◽  
Vol 57 (2) ◽  
pp. 409-416
Author(s):  
Mihai Anastasiei
Keyword(s):  
Differential Equations ◽  
Smooth Manifold ◽  
Vector Bundles ◽  
Second Order ◽  
Lie Algebroids ◽  
Second Order Differential Equations

Banach Lie AlgebroidsFirst, we extend the notion of second order differential equations (SODE) on a smooth manifold to anchored Banach vector bundles. Then we define the Banach Lie algebroids as Lie algebroids structures modeled on anchored Banach vector bundles and prove that they form a category.

Scale-Invariant Theory of Optical Properties of Fractal Clusters

1990 ◽  
Author(s):  
Vadim A. Markel ◽  
Leonid S. Muratov ◽  
Mark I. Stockman ◽  
Thomas F. George
Keyword(s):  
Optical Properties ◽  
Invariant Theory ◽  
Scale Invariant ◽  
Fractal Clusters

The Standard Theory

2017 ◽  
Author(s):  
John Iliopoulos
Keyword(s):  
Gauge Theory ◽  
Invariant Theory ◽  
Standard Theory ◽  
Strong Interactions ◽  
Gauge Invariant ◽  
Electromagnetic Interactions ◽  
Protons And Neutrons ◽  
Free Particles ◽  
Theoretical Predictions ◽  
Theory And Experiment

All ingredients of the previous chapters are combined in order to build a gauge invariant theory of the interactions among the elementary particles. We start with a unified model of the weak and the electromagnetic interactions. The gauge symmetry is spontaneously broken through the BEH mechanism and we identify the resulting BEH boson. Then we describe the theory known as quantum chromodynamics (QCD), a gauge theory of the strong interactions. We present the property of confinement which explains why the quarks and the gluons cannot be extracted out of the protons and neutrons to form free particles. The last section contains a comparison of the theoretical predictions based on this theory with the experimental results. The agreement between theory and experiment is spectacular.

Sign in / Sign up

Export Citation Format

Share Document