Representations of Algebraic Groups

Keywords

Mathematics, Algebraically closed field, Pure mathematics, Algebraic group, Algebraic number

References

• A geometric approach to the representations of the full linear group over a Galois fieldRichard H. Steinberg — 1951
• On the dimensions of the irreducible modules of Lie algebras of classical typeCharles W. Curtis — 1960
• Some rationality questions on algebraic groupsMaxwell Rosenlicht — 1957
• Sur la trialité et certains groupes qui s’en déduisentJacques Tits — 1959
• Sur certains groupes simplesCatherine Chevalley — 1955
• On projective representations of certain finite groupsCharles W. Curtis — 1960
• FINITE REFLECTION GROUPSRobert Steinberg — 1959
• Forms of algebraic groupsDavid Hertzig — 1961
• Variations on a theme of Chevalley.Robert Steinberg — 1959
• Theorie der Darstellung kontinuierlicher halb-einfacher Gruppen durch lineare Transformationen. IH. Weyl — 1926
• The simplicity of certain groupsRobert Steinberg — 1960
• Les «formes réelles» des groupes de type E_6Jacques Tits — 1958
• Algebraic Groups Over Finite FieldsSerge Lang — 1956
• On the Modular Characters of GroupsRichard Brauer, Cecil J. Nesbitt — 1941
• Representations of Lie Algebras of Classical Type with Applications to Linear GroupsCharles W. Curtis — 1960
• A family of simple groups associated with the simple Lie algebra of type (Rimhak Ree — 1961
• A Family of Simple Groups Associated with the Simple Lie Algebra of Type (F 4 )Rimhak Ree — 1961
• SOPHUS LIEGeorge Bruce Halsted — 1899
• Prime Power Representations of Finite Linear Groups IIRobert Steinberg — 1957
• The Institute for Advanced StudyAlexander Alföldi, Allen Arkani-Hamed, Atiyah Aydelotte — 1933

Cited by

• Subgroups of TypeA1Containing Semiregular Unipotent ElementsGary M. Seitz, Donna Testerman — 1997
• Lifting D-modules from positive to zero characteristicJoão Pedro P. dos Santos — 2011
• Cohomology of algebraic groups and Sullivan's minimal modelsHisashi Kasuya — 2014
• Surjectivity Criteria for p-adic RepresentationsAdrian Vasiu — 2002
• Modules and comodules over nonarchimedean Hopf algebrasAnton Lyubinin — 2010
• The center of the universal enveloping algebra of a Lie algebra in characteristic pF.D. Veldkamp — 1972
• Irreducible representations of finite groups of Lie type.Charles W. Curtis — 1965
• Euler characteristics forp-adic Lie groupsBurt Totaro — 1999
• An algebraic p-adic L-function for ordinary familiesJyoti Prakash Saha — 2014
• POLYNOMIAL REPRESENTATIONS OF GENERAL LINEAR GROUPS AND CATEGORIFICATIONS OF FOCK SPACEJiuzu Hong, Oded Yacobi — 2011
• A Constructive Proof of the Borel-Weil Theorem for Classical GroupsKostiantyn Timchenko — 2014
• Dixmier Algebras On Complex Classical Nilpotent Orbits And Their Representation TheoriesKayue Daniel Wong — 2013
• Induction and restriction in formal deformation of coveringsJosé Bertin, Ariane Mézard — 2002
• Periods of third kind for rank 2 Drinfeld modules and algebraic independence of logarithmsChieh-Yu Chang — 2009
• On the involution module of GLn(2f)Lars Pforte — 2013
• On Jantzen’s and Andersen’s sum formulas for algebraic groupsUpendra Kulkarni — 2006
• LECTURES ON HOPF ALGEBRASHans‐Jürgen Schneider, Sonia Natale, Henriette Schneider — 2006
• Categories of modules given by varieties of p-nilpotent operatorsRolf Farnsteiner — 2011
• A theta operator for Siegel modular forms (mod p)Max Flander — 2013
• Quelques propriétés des représentations de la super-algèbre de Lie gl(m, n)François Drouot — 2008

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