ABSTRACT

Glider Representations offer several applications across different fields within Mathematics, thereby motivating the introduction of this new glider theory and opening numerous doors for future research, particularly with respect to more complex filtration chains.

Features

• Introduces new concepts in the Theory of Rings and Modules
• Suitable for researchers and graduate students working in this area, and as supplementary reading for courses in Group Theory, Ring Theory, Lie Algebras and Sheaf Theory
• The first book to explicitly outline this new approach to gliders and fragments and associated concepts

part I|1 pages

General Fragment and Glider Theory

chapter Chapter 1|20 pages

Basic Definitions and Generalities

chapter Chapter 2|15 pages

Basic properties

chapter Chapter 3|21 pages

Irreducible fragments and gliders

part II|1 pages

Right bounded algebra filtrations

part III|1 pages

Unbounded and standard filtrations

chapter Chapter 7|63 pages

Sheaves of glider representations

chapter Chapter 8|32 pages

Glider Brauer-Severi varieties

chapter Chapter 9|23 pages

Odds and ends