Publications

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2024

Multiplicity-free Representations of Algebraic Groups

M. W. Liebeck; G. M. Seitz; D. M. Testerman

Memoirs Of The American Mathematical Society. 2024-02-01. Vol. 294, num. 1466, p. 1-282. DOI : 10.1090/memo/1466.

Publications

2024

Multiplicity-free Representations of Algebraic Groups

2023

On minimal epimorphic subgroups in simple algebraic groups of rank 2

Almost Cyclic Regular Semisimple Elements In Irreducible Representations Of Simple Algebraic Groups

Cohomology in singular blocks of parabolic category O

Duality and bicrystals on infinite binary matrices

2022

Multiplicity-free representations of algebraic groups II

On minimal tilting complexes in highest weight categories

Atomic length in Weyl groups

Generalised Howe duality and injectivity of induction: the symplectic case

Eigenvalue multiplicities of group elements in irreducible representations of simple linear algebraic groups

Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity

Coxeter Combinatorics For Sum Formulas In The Representation Theory Of Algebraic Groups

2021

Spectra of non-regular elements in irreducible representations of simple algebraic groups

On complete reducibility of tensor products of simple modules over simple algebraic groups

Spherical birational sheets in reductive groups

2020

Generalized Mullineux Involution And Perverse Equivalences

A positive combinatorial formula for symplectic Kostka-Foulkes polynomials I: Rows

2019

$A_1$-type subgroups containing regular unipotent elements

Irreducible Subgroups of Simple Algebraic Groups – A Survey

Minimal Polynomials Of Unipotent Elements Of Non-Prime Order In Irreducible Representations Of The Exceptional Algebraic Groups In Some Good Characteristics

Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic

A new family of irreducible subgroups of the orthogonal algebraic groups

Maximal subgroups acting with two composition factors on irreducible representations of exceptional algebraic groups

2018

Local Representation Theory and Simple Groups

Irreducible components of exotic Springer fibres

Structure of certain Weyl modules for the Spin groups

Unipotent elements forcing irreducibility in linear algebraic groups

Reductive overgroups of distinguished unipotent elements in simple algebraic groups

Irreducible representations of simple algebraic groups in which a unipotent element is represented by a matrix with a single non-trivial Jordan block

2017

Restriction of irreducible modules for Spin2+1(K) to Spin2(K)

An algorithm for computing weight multiplicities in irreducible modules for complex semisimple Lie algebras

Invariant forms on irreducible modules of simple algebraic groups

On irreducible subgroups of simple algebraic groups

2016

Central Subalgebras Of The Centralizer Of A Nilpotent Element

2015

Witt overgroups for unipotent elements in exceptional algebraic groups of bad characteristic

Double centralizers of unipotent elements in simple algebraic groups of type $E_7$ and $E_8$

Irreducible Geometric Subgroups of Classical Algebraic Groups

Distinguished unipotent elements and multiplicity-free subgroups of simple algebraic groups

Irreducible almost simple subgroups of classical algebraic groups

Subgroups Of Simple Algebraic Groups Containing Regular Tori, And Irreducible Representations With Multiplicity 1 Non-Zero Weights

Restricting representations of classical algebraic groups to maximal subgroups

2014

Unipotent Overgroups in Simple Algebraic Groups

2013

Double centralizers of unipotent elements in simple algebraic groups of type G2, F4 and E6

Irreducibility In Algebraic Groups And Regular Unipotent Elements

On the irreducibility of symmetrizations of cross-characteristic representations of finite classical groups

Centers of Centralizers of Unipotent Elements in Exceptional Algebraic Groups

2011

Linear Algebraic Groups and Finite Groups of Lie Type

Centres of centralizers of unipotent elements in simple algebraic groups

2010

Irreducible disconnected subgroups of exceptional algebraic groups

Tensor Products of Weil Modules

2009

Nilpotent subalgebras of semisimple Lie algebras

Nilpotent centralizers and Springer isomorphisms

2008

Irreducibility of disconnected subgroups of exceptional algebraic groups

2007

Double centralizers of unipotent elements

Group representation theory. Based on the research semester “Group representation theory”, Lausanne, Switzerland, January – June, 2005

Completely reducible $\text{SL}(2)$-homomorphisms

2004

Irreducible subgroups of algebraic groups

2000

Subgroups of type $A_1$ containing a fixed unipotent element in an algebraic group

1999

$A_1$ subgroups of exceptional algebraic groups