Kessar, Radha
Overview
Works:  3 works in 19 publications in 1 language and 658 library holdings 

Roles:  Editor, Author 
Publication Timeline
.
Most widely held works by
Radha Kessar
Fusion systems in algebra and topology by
Michael Aschbacher(
)
13 editions published in 2011 in English and held by 620 WorldCat member libraries worldwide
"A fusion system over a pgroup S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the nice properties of pcompleted classifying spaces of finite groups. Beginning with a detailed exposition of the foundational material, the authors then proceed to discuss the role of fusion systems in local finite group theory, homotopy theory and modular representation theory. The book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians"
13 editions published in 2011 in English and held by 620 WorldCat member libraries worldwide
"A fusion system over a pgroup S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the nice properties of pcompleted classifying spaces of finite groups. Beginning with a detailed exposition of the foundational material, the authors then proceed to discuss the role of fusion systems in local finite group theory, homotopy theory and modular representation theory. The book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians"
Local representation theory and simple groups(
Book
)
4 editions published in 2018 in English and held by 36 WorldCat member libraries worldwide
The book contains extended versions of seven short lecture courses given during a semester programme on "Local Representation Theory and Simple Groups" held at the Centre Interfacultaire Bernoulli of the EPF Lausanne. These focussed on modular representation theory of finite groups, modern Clifford theoretic methods, the representation theory of finite reductive groups, as well as on various applications of character theory and representation theory, for example to base sizes and to random walks. These lectures are intended to form a good starting point for graduate students and researchers who wish to familiarize themselves with the foundations of the topics covered here. Furthermore they give an introduction to current research directions, including the state of some open problems in the field
4 editions published in 2018 in English and held by 36 WorldCat member libraries worldwide
The book contains extended versions of seven short lecture courses given during a semester programme on "Local Representation Theory and Simple Groups" held at the Centre Interfacultaire Bernoulli of the EPF Lausanne. These focussed on modular representation theory of finite groups, modern Clifford theoretic methods, the representation theory of finite reductive groups, as well as on various applications of character theory and representation theory, for example to base sizes and to random walks. These lectures are intended to form a good starting point for graduate students and researchers who wish to familiarize themselves with the foundations of the topics covered here. Furthermore they give an introduction to current research directions, including the state of some open problems in the field
Blocks and Source Algebras for the Double Covers of the Symmetric Groups by
Radha Kessar(
)
2 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide
We now study in detail the actions of $N\sb{\tilde S{\sb{m}}}$ (P) and $N\sb{\tilde A{\sb{m}}}$ (P) on Br$\sb{P}(c\sigma{\cal O}\tilde S\sb{n}b\sigma c$). The information so obtained is "lifted" to obtain information regarding the action of $\tilde S\sb{m}$ and $\tilde A\sb{m}$ on $c\sigma{\cal O}\tilde S\sb{n}b\sigma c$. It turns out that there are exactly two points of $\tilde S\sb{m}$ on $c\sigma{\cal O}\tilde S\sb{n}b\sigma c$ and that these are conjugate in ($c\sigma{\cal O}\tilde S\sb{n}b\sigma c)\sp{\tilde A{\sb{m}}}$. It follows that for a suitably chosen idempotent I of ($c\sigma{\cal O}\tilde S\sb{n}b\sigma c)\sp{\tilde S{\sb{m}}},\ Ic\sigma{\cal O}\tilde S\sb{n}b\sigma cI$ and ${\cal O}\tilde S\sb{m}c\otimes\sb{\cal O}\ Mat\sb{L\sp2}({\cal O}$) are isomorphic as interior $\tilde S\sb{m}$algebras; and in particular, the source algebras of b and c are isomorphic as interior Palgebras
2 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide
We now study in detail the actions of $N\sb{\tilde S{\sb{m}}}$ (P) and $N\sb{\tilde A{\sb{m}}}$ (P) on Br$\sb{P}(c\sigma{\cal O}\tilde S\sb{n}b\sigma c$). The information so obtained is "lifted" to obtain information regarding the action of $\tilde S\sb{m}$ and $\tilde A\sb{m}$ on $c\sigma{\cal O}\tilde S\sb{n}b\sigma c$. It turns out that there are exactly two points of $\tilde S\sb{m}$ on $c\sigma{\cal O}\tilde S\sb{n}b\sigma c$ and that these are conjugate in ($c\sigma{\cal O}\tilde S\sb{n}b\sigma c)\sp{\tilde A{\sb{m}}}$. It follows that for a suitably chosen idempotent I of ($c\sigma{\cal O}\tilde S\sb{n}b\sigma c)\sp{\tilde S{\sb{m}}},\ Ic\sigma{\cal O}\tilde S\sb{n}b\sigma cI$ and ${\cal O}\tilde S\sb{m}c\otimes\sb{\cal O}\ Mat\sb{L\sp2}({\cal O}$) are isomorphic as interior $\tilde S\sb{m}$algebras; and in particular, the source algebras of b and c are isomorphic as interior Palgebras
Audience Level
0 

1  
Kids  General  Special 
Related Identities
Useful Links