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20052026
most citedWeight conjectures for fusion systems

13 citations · 49 across the 28 of their papers we have counts for

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Showing 2018 · math.RTShow all

7 papers · 2 filters

math.RT2018

On Perverse Equivalences and Rationality

Joseph Chuang, Radha Kessar

We show that perverse equivalences between module categories of finite-dimensional algebras preserve rationality. As an application, we give a connection between some famous conjec…

math.RT2018★ 13 cited

Weight conjectures for fusion systems

Radha Kessar, Markus Linckelmann, Justin Lynd +1

Many of the conjectures of current interest in the representation theory of finite groups in characteristic are local-to-global statements, in that they predict consequences fo…

math.RT2018

Blocks with normal abelian defect and abelian p' inertial quotient

David Benson, Radha Kessar, Markus Linckelmann

Let be an algebraically closed field of characteristic , and let be either or its ring of Witt vectors . Let a finite group and a block of $\…

math.RT2018

On Picard groups of blocks of finite groups

Robert Boltje, Radha Kessar, Markus Linckelmann

We show that the subgroup of the Picard group of a -block of a finite group given by bimodules with endopermutation sources modulo the automorphism group of a source algebra is…

math.RT2018

Rationality of blocks of quasi-simple finite groups

Niamh Farrell, Radha Kessar

Let be a prime number. We show that the Morita Frobenius number of an -block of a quasi-simple finite group is at most 4 and that the strong Frobenius number is at mos…

math.RT2018

Local-global conjectures and blocks of simple groups

Gunter Malle, Radha Kessar

We give an expanded treatment of our lecture series at the 2017 Groups St Andrews conference in Birmingham on local-global conjectures and the block theory of finite reductive grou…