Unit
Testerman Group
GroupRelated publications (167)
Geodesic flows on real forms of complex semi-simple Lie groups of rigid body type
The geodesic flows are studied on real forms of complex semi-simple Lie groups with respect to a left-invariant (pseudo-)Riemannian metric of rigid body type. The Williamson types of the isolated relative equilibria on generic adjoint orbits are determined ...
SPRINGER INTERNATIONAL PUBLISHING AG2020Asymptotics of Cheeger constants and unitarisability of groups
Nicolas Monod, Maria Gerasimova
Given a group Gamma, we establish a connection between the unitarisability of its uniformly bounded representations and the asymptotic behaviour of the isoperimetric constants of Cayley graphs of Gamma for increasingly large generating sets. The connection ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2020Haldane Gap of the Three-Box Symmetric SU(3) Chain
Frédéric Mila, Samuel Gozel, Pierre Marcel Nataf
Motivated by the recent generalization of the Haldane conjecture to SU(3) chains [Lajko et al., Nucl. Phys. B924, 508 (2017)] according to which a Haldane gap should be present for symmetric representations if the number of boxes in the Young diagram is a ...
AMER PHYSICAL SOC2020Generalized Mullineux Involution And Perverse Equivalences
We define a generalization of the Mullineux involution on multipartitions using the theory of crystals for higher-level Fock spaces. Our generalized Mullineux involution turns up in representation theory via two important derived functors on cyclotomic Che ...
2020Irreducible Subgroups of Simple Algebraic Groups – A Survey
Let G be a simple linear algebraic group over an algebraically closed field K of characteristic p≥ 0, let H be a proper closed subgroup of G and let V be a nontrivial finite dimensional irreducible rational KG-module. We say that (G,H, V) is an irreducible ...
Cambridge University Press2019$A_1$-type subgroups containing regular unipotent elements
Let be a simple exceptional algebraic group of adjoint type over an algebraically closed field of characteristic and let be a subgroup of containing a regular unipotent element of . By a theorem of Testerman, is contained in a connected subgroup of of type ...
2019Maximal subgroups acting with two composition factors on irreducible representations of exceptional algebraic groups
Let be a simply connected simple algebraic group over an algebraically closed field of characteristic and let be a maximal closed connected simple subgroup of .
Excluding some small primes in specific cases, we classify the -restrict ...
EPFL2019Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic
Let be a classical group with natural module over an algebraically closed field of good characteristic. For every unipotent element of , we describe the Jordan block sizes of on the irreducible -modules which occur as compositio ...
2019Structural Properties Of Dendrite Groups
Let G be the homeomorphism group of a dendrite. We study the normal subgroups of G. For instance, there are uncountably many nonisomorphic such groups G that are simple groups. Moreover, these groups can be chosen so that any isometric G-action on any metr ...
AMER MATHEMATICAL SOC2019A finitely presented infinite simple group of homeomorphisms of the circle
We construct a finitely presented, infinite, simple group that acts by homeomorphisms on the circle, but does not admit a non-trivial action by C1-diffeomorphisms on the circle. This is the first such example. The group emerges as a group of piecewise proj ...
WILEY2019