β Scribed by Gan Wee Teck, Tan Kai Meng
No coin nor oath required. For personal study only.
This volume is an outgrowth of the program Modular Representation Theory of Finite and p-Adic Groups held at the Institute for Mathematical Sciences at National University of Singapore during the period of 1β26 April 2013. It contains research works in the areas of modular representation theory of p-adic groups and finite groups and their related algebras. The aim of this volume is to provide a bridge β where interactions are rare between researchers from these two areas β by highlighting the latest developments, suggesting potential new research problems, and promoting new collaborations. It is perhaps one of the few volumes, if not only, which treats such a juxtaposition of diverse topics, emphasizing their common core at the heart of Lie theory.
Contents
Foreword
Preface
Modular Representations of Finite Reductive Groups β’ Marc Cabanes
π-Modular Representations of p-Adic Groups (π β p) β’ Vincent Secherre
p-Modular Representations of p-Adic Groups β’ Florian Herzig
Representation Theory and Cohomology of KhovanovβLaudaβRouquier Algebras β’ Alexander S. Kleshchev
Cyclotomic Quiver Hecke Algebras of Type A β’ Andrew Mathas
π SIMILAR VOLUMES
1. Prerequisites in module theory -- 2. The Cartan-Brauer Triangle -- 3. The Brauer character -- 4. Green's theory of indecomposable modules -- 5. Blocks
<p><p>Representation theory studies maps from groups into the general linear group of a finite-dimensional vector space. For finite groups the theory comes in two distinct flavours. In the 'semisimple case' (for example over the field of complex numbers) one can use character theory to completely un
book draft of: http://libgen.io/book/index.php?md5=9639FA5ACC1A8004F46308A84CA2A0B1
<p>The representation theory of Lie groups plays a central role in both clasΒ sical and recent developments in many parts of mathematics and physics. In August, 1995, the Fifth Workshop on Representation Theory of Lie Groups and its Applications took place at the Universidad Nacional de Cordoba in A