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. DOI : 10.1090/memo/1466.

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2023

On minimal epimorphic subgroups in simple algebraic groups of rank 2

I. I. Simion; D. M. Testerman

Journal Of Pure And Applied Algebra. 2023-12-01. DOI : 10.1016/j.jpaa.2023.107572.

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

D. M. Testerman; A. E. Zalesski

Transformation Groups. 2023-02-20. DOI : 10.1007/s00031-023-09793-5.

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2022

Multiplicity-free representations of algebraic groups II

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

Journal Of Algebra. 2022-10-01. DOI : 10.1016/j.jalgebra.2021.07.003.

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

A.-M. Retegan

Lausanne, EPFL, 2022. DOI : 10.5075/epfl-thesis-9764.

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

J. Gruber

Lausanne, EPFL, 2022. DOI : 10.5075/epfl-thesis-10035.

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2021

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

D. Testerman; A. Zalesski

North-Western European Journal of Mathematics. 2021-12-02.

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2019

$A_1$-type subgroups containing regular unipotent elements

T. C. Burness; D. Testerman

Forum of Mathematics, Sigma. 2019-04-24. DOI : 10.1017/fms.2019.12.

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Irreducible Subgroups of Simple Algebraic Groups – A Survey

T. C. Burness; D. Testerman

Groups St Andrews 2017 in Birmingham; Cambridge: Cambridge University Press, 2019-04-01. p. 230-260.

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

T. S. Busel; I. D. Suprunenko; D. Testerman

Doklady Natsionalnoi Akademii Nauk Belarusi. 2019-01-01. DOI : 10.29235/1561-8323-2019-63-5-519-525.

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A new family of irreducible subgroups of the orthogonal algebraic groups

M. Cavallin; D. Testerman

Transactions of the American Mathematical Society, Series B. 2019. DOI : 10.1090/btran/28.

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

N. Scheinmann

Lausanne, EPFL, 2019. DOI : 10.5075/epfl-thesis-9449.

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2018

Local Representation Theory and Simple Groups

R. Kessar; G. Malle; D. Testerman

Zurich: European Mathematical Society.

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Reductive overgroups of distinguished unipotent elements in simple algebraic groups

M. T. Korhonen

Lausanne, EPFL, 2018. DOI : 10.5075/epfl-thesis-8362.

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

D. M. Testerman; A. E. Zalesski

Journal Of Group Theory. 2018. DOI : 10.1515/jgth-2017-0019.

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2017

On irreducible subgroups of simple algebraic groups

T. C. Burness; C. Marion; D. M. Testerman

Mathematische Annalen. 2017. DOI : 10.1007/s00208-016-1432-z.

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2016

Central Subalgebras Of The Centralizer Of A Nilpotent Element

G. J. Mcninch; D. M. Testerman

Proceedings Of The American Mathematical Society. 2016. DOI : 10.1090/proc/12942.

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2015

Irreducible Geometric Subgroups of Classical Algebraic Groups

T. C. Burness; S. Ghandour; D. Testerman

Providence: American Mathematical Society.

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

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

Pacific Journal of Mathematics. 2015. DOI : 10.2140/pjm.2015.279.357.

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Irreducible almost simple subgroups of classical algebraic groups

T. C. Burness; S. Ghandour; C. Marion; D. Testerman

Providence: American Mathematical Society.

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

D. Testerman; A. E. Zalesski

Transformation Groups. 2015. DOI : 10.1007/s00031-015-9321-1.

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Restricting representations of classical algebraic groups to maximal subgroups

M. Cavallin

Lausanne, EPFL, 2015. DOI : 10.5075/epfl-thesis-6583.

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2014

Unipotent Overgroups in Simple Algebraic Groups

I. I. Simion; D. Testerman

Groups of Exceptional Type, Coxeter Groups and Related Geometries; New Dehli: Springer, 2014-04-03. p. 147-158.

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2013

Irreducibility In Algebraic Groups And Regular Unipotent Elements

D. Testerman; A. Zalesski

Proceedings Of The American Mathematical Society. 2013. DOI : 10.1090/S0002-9939-2012-11898-2.

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

K. Magaard; G. Roehrle; D. Testerman

Journal of Pure and Applied Algebra. 2013. DOI : 10.1016/j.jpaa.2012.11.004.

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Centers of Centralizers of Unipotent Elements in Exceptional Algebraic Groups

I. I. Simion

Lausanne, EPFL, 2013. DOI : 10.5075/epfl-thesis-5789.

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2011

Linear Algebraic Groups and Finite Groups of Lie Type

G. Malle; D. Testerman

Cambridge: Cambridge University Press.

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Centres of centralizers of unipotent elements in simple algebraic groups

D. Testerman; R. Lawther

Memoirs of the American Mathematical Society. 2011. DOI : 10.1090/S0065-9266-10-00594-6.

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2010

Tensor Products of Weil Modules

A. Monnard

2010

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2009

Nilpotent subalgebras of semisimple Lie algebras

P. Levy; G. McNinch; D. Testerman

Comptes Rendus Mathematique. 2009. DOI : 10.1016/j.crma.2009.03.015.

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Nilpotent centralizers and Springer isomorphisms

G. J. McNinch; D. Testerman

Journal of Pure and Applied Algebra. 2009. DOI : 10.1016/j.jpaa.2008.12.007.

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2008

Irreducibility of disconnected subgroups of exceptional algebraic groups

S. N. Ghandour

Lausanne, EPFL, 2008. DOI : 10.5075/epfl-thesis-4064.

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2007

Double centralizers of unipotent elements

D. Testerman; R. Lawther

2007

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Group representation theory. Based on the research semester "Group representation theory", Lausanne, Switzerland, January - June, 2005

M. Geck; D. Testerman; J. Thévenaz

Lausanne; Boca Raton: EPFL Press; CRC Press.

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

G. J. McNinch; D. Testerman

Transactions of the American Mathematical Society. 2007. DOI : 10.1090/S0002-9947-07-04289-4.

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2004

Irreducible subgroups of algebraic groups

M. W. Liebeck; D. Testerman

Quarterly Journal of Mathematics. 2004. DOI : 10.1093/qmath/hag042.

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2000

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

R. Proud; J. Saxl; D. Testerman

Journal of Algebra. 2000. DOI : 10.1006/jabr.2000.8353.

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1999

$A_1$ subgroups of exceptional algebraic groups

R. Lawther; D. Testerman

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1997

Subgroups of type $A_1$ containing semiregular unipotent elements

G. M. Seitz; D. Testerman

Journal of Algebra. 1997. DOI : 10.1006/jabr.1997.7099.

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1996

Simple subgroups of large rank in groups of Lie type

M. W. Liebeck; J. Saxl; D. Testerman

Proceedings of the London Mathematical Society, Third Series***. 1996. DOI : 10.1112/plms/s3-72.2.425.

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1995

$A_1$-type overgroups of elements of order $p$ in semisimple algebraic groups and the associated finite groups

D. Testerman

Journal of Algebra. 1995. DOI : 10.1006/jabr.1995.1285.

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1992

The construction of the maximal $A_1$'s in the exceptional algebraic groups

D. Testerman

Proceedings of the American Mathematical Society. 1992. DOI : 10.1090/S0002-9939-1992-1100666-2.

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Overgroups of unipotent elements in simple algebraic groups

D. Testerman

1992. L.M.S. Durham symposium, Durham, UK, July 5-15, 1990. p. 333-339. DOI : 10.1017/CBO9780511629259.029.

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1990

Extending morphisms from finite to algebraic groups

G. M. Seitz; D. Testerman

Journal of Algebra. 1990. DOI : 10.1016/0021-8693(90)90195-T.

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1989

A construction of certain maximal subgroups of the algebraic groups $E\sub{6}$ and $F\sub{4}$

D. Testerman

Journal of Algebra. 1989. DOI : 10.1016/0021-8693(89)90218-4.

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A note on composition factors of Weyl modules

D. Testerman

Communications in Algebra. 1989. DOI : 10.1080/00927878908823771.

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1988

Irreducible subgroups of exceptional algebraic groups

D. Testerman

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