Michael Livesey

most citedA note on perfect isometries between finite general linear and unitary groups at unitary primes

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math.RT2023

RoCK blocks for double covers of symmetric groups over a complete discrete valuation ring

Alexander Kleshchev, Michael Livesey

Recently the authors proved the existence of RoCK blocks for double covers of symmetric groups over an algebraically closed field of odd characteristic. In this paper we prove that…

math.RT2014★ 1 cited

A note on perfect isometries between finite general linear and unitary groups at unitary primes

Michael Livesey

Let $q$ be a power of a prime, $l$ a prime not dividing $q$ , $d$ a positive integer coprime to both $l$ and the multiplicative order of $q mod l$ and $n$ a positive integer. A. Wat…

math.RT2014

Broué's perfect isometry conjecture holds for the double covers of the symmetric and alternating groups

Michael Livesey

O. Brunat and J. Gramain recently proved that any two blocks of double covers of symmetric groups are Broué perfectly isometric provided they have the same weight and sign. They al…