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.
• 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
I General fragment and glider theory
Chapter 1: Basic de nitions and generalities.
Chapter 2: Basic properties.
Chapter 3: Irreducible fragments and gliders.
II Right bounded algebra ltrations.
Chapter 4: Glider representation theory of a chain of nite groups.
Chapter 5: Glider representation rings of nite groups and glider character theory.
Chapter 6: Chains of semisimple Lie algebras.
III Unbounded and standard ltrations.
Chapter 7: Sheaves of glider representations.
Chapter 8: Glider Brauer-Severi varieties.
Chapter 9: Odds and ends.