Corrigenda: ‘On systems of linear inequalities’
There are two mistakes in the referred paper. One is ridiculous and one is significant. But none is serious.
Cycle indicators of linear groups and enumeration of linear codes. (Zyklenzeiger linearer Gruppen und Abzählung linearer Codes.)
Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.
Darstellungen von GL(3, Fq) und Gaußsche Summen.
Darstellungen von SL(2,.../p...) und Thetafunktionen. II.
Darstellungstheorie von Schur-Algebren.
Decomposition numbers modulo p of certain representations of the groups
Decomposition numbers of finite classical groups for linear primes.
Decomposition of reductive regular Prehomogeneous Vector Spaces
Let be a regular prehomogeneous vector space (abbreviated to ), where is a reductive algebraic group over . If is a decomposition of into irreducible representations, then, in general, the PV’s are no longer regular. In this paper we introduce the notion of quasi-irreducible (abbreviated to -irreducible), and show first that for completely -reducible ’s, the -isotypic components are intrinsically defined, as in ordinary representation theory. We also show that, in an appropriate...
Deligne-Lusztig restriction of a Gelfand-Graev module
Using Deodhar’s decomposition of a double Schubert cell, we study the regular representations of finite groups of Lie type arising in the cohomology of Deligne-Lusztig varieties associated to tori. We deduce that the Deligne-Lusztig restriction of a Gelfand-Graev module is a shifted Gelfand-Graev module.
Der Grad erzeugender Funktionen von Invariantenringen.
Der Primidealraum der C*-Algebra und die unzerlegebaren Charaktere der Gruppe GI (...,q).
Détermination des caractères des groupes finis simples : travaux de Lusztig
Die irreduziblen Darstellungen der Gruppen SL...(Z...), insbesondere SL...(Z...). II. Teil
Die irreduziblen Darstellungen der Gruppen SL...(Z...), insbesondere SL...(Z...). I. Teil
Die irreduziblen Darstellungen von GL2(Zp), insbesondere GL2(Z2).
Discrete series and the unipotent subgroup
Discrete series representations of unipotent -adic groups.
Dual pair G... x PGL2 G... is the automorphism group of the Jordan algebra.
Dual pairs and Kostant-Sekiguchi correspondence. II. Classification of nilpotent elements
We classify the homogeneous nilpotent orbits in certain Lie color algebras and specialize the results to the setting of a real reductive dual pair. For any member of a dual pair, we prove the bijectivity of the two Kostant-Sekiguchi maps by straightforward argument. For a dual pair we determine the correspondence of the real orbits, the correspondence of the complex orbits and explain how these two relations behave under the Kostant-Sekiguchi maps. In particular we prove that for a dual pair in...