Glider Representations: 1st Edition (Hardback) book cover

Glider Representations

1st Edition

By Frederik Caenepeel, Fred Van Oystaeyen

Chapman and Hall/CRC

328 pages

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Hardback: 9780367406578
pub: 2020-01-07
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Description

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

Table of Contents

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

About the Authors

Frederik Caenepeel is a postdoctoral researcher at the Shanghai Center for Mathematical Sciences associated to Fudan University, Shanghai, China. He received his PhD degree from the University of Antwerp, Belgium under the supervision of Professor, Doctor Wendy Lowen and Emeritus Professor, Doctor Fred Van Oystaeyen. In his free time, Frederik enjoys doing outdoor sports activities, discovering the world and catching up with friends.

Fred Van Oystaeyen is an emeritus Professor at the University of Antwerp. His research interests include Non-commutative Algebra and Geometry, Hopf Algebras, graded rings, the Brauer group and representation theory. He has authored or co-authored over 300 scientific paper, about 25 research books and edited several proceedings of the more than 60 international congresses. He did his research evaluation in several countries, was president of the Belgian Science Foundation's math committee and served 5 years on the Academic Advisory Committee for the ERASMUS program. He was also a visiting scholar at the University of Cambridge (UK) and honorary professor at the Beijing Normal University. In his free time, he enjoys Blues music and caudiciform plants, cacti and bonsai trees.

About the Series

Chapman & Hall/CRC Monographs and Research Notes in Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT002000
MATHEMATICS / Algebra / General
MAT002010
MATHEMATICS / Algebra / Abstract
MAT002050
MATHEMATICS / Algebra / Linear