New Constructions in Classical Invariant Theory

Juggling with Multilinear Polynomials

Autori

• Peter Frenkel

Parametri

• 68 pagine
• 3 ore di lettura

• Matematica

Maggiori informazioni sul libro

The thesis explores three distinct topics in mathematics. Chapter 1 focuses on invariant theory, revealing significant differences in the behavior of the orthogonal group over fields of characteristic 2 compared to other characteristics, leading to non-classical behavior in integer rings. Chapter 2 presents new formulas for irreducible characters of classical matrix groups over complex numbers, highlighting their representation as fractions of polynomial functions. Chapter 3 shifts to real fields, establishing inequalities for positive semi-definite matrices and addressing the lower bounds of the norm of linear functional products.

Lingua: Inglese

Pubblicato: 2010

(In brossura)