algebraic-groups.bib

@book{berhuy-2010,
  author    = {Berhuy, Gr{\'e}gory},
  title     = {An introduction to {G}alois cohomology and its applications},
  series    = {London Mathematical Society Lecture Note Series},
  volume    = {377},
  note      = {With a foreword by Jean-Pierre Tignol},
  publisher = {Cambridge University Press},
  year      = {2010},
  pagination={none}
}

@book{borel-1991,
  author    = {Borel, Armand},
  title     = {Linear algebraic groups},
  series    = {Graduate Texts in Mathematics},
  volume    = {126},
  publisher = {Springer-Verlag},
  year      = {1991}
}

@article{borger-wieland-2005,
  author  = {Borger, James and Wieland, Ben},
  title   = {Plethystic algebra},
  journal = {Adv. Math.},
  volume  = {194},
  year    = {2005},
  number  = {2},
  pages   = {246}
}

@book{bosch-lutkebohmert-raynaud-1990,
  author    = {Bosch, Siegfried and L{\"u}tkebohmert, Werner and Raynaud, Michel},
  title     = {N\'eron models},
  series    = {Ergebnisse der Mathematik und ihrer Grenzgebiete},
  volume    = {21},
  publisher = {Springer-Verlag},
  year      = {1990}
}

@book{bourbaki-algebra-4-7,
  shorthand  = {Alg\textsubscript{4--7}},
  author     = {Bourbaki, Nicolas},
  title      = {Algebra. {II}. {C}hapters 4--7},
  series     = {Elements of Mathematics},
  note       = {Translated from the French by P. M. Cohn and J. Howie},
  publisher  = {Springer-Verlag},
  year       = {1990},
  pagination = {none}
}

@book{bourbaki-integration-7-9,
  shorthand = {Int II\textsubscript{7--9}},
  author    = {Bourbaki, Nicolas},
  title     = {Integration. {II}. {C}hapters 7--9},
  series    = {Elements of Mathematics},
  note      = {Translated from the 1963 and 1969 French originals by Sterling K. Berberian},
  publisher = {Springer-Verlag},
  year      = {2004},
  pagination={none}
}
  

@book{bourbaki-lie-alg-1-3,
  shorthand = {Lie\textsubscript{1--3}},
  author    = {Bourbaki, Nicolas},
  title     = {Lie groups and {L}ie algebras. {C}hapters 1--3},
  series    = {Elements of Mathematics},
  note      = {Translated from the French, Reprint of the 1989 English translation},
  publisher = {Springer-Verlag},
  location  = {Berlin},
  year      = {1998}
}

@book{bourbaki-lie-alg-4-6,
  shorthand = {Lie\textsubscript{4--6}},
  author    = {Bourbaki, Nicolas},
  title     = {Lie groups and {L}ie algebras. {C}hapters 4--6},
  series    = {Elements of Mathematics},
  note      = {Translated from the 1968 French original by Andrew Pressley},
  publisher = {Springer-Verlag},
  location  = {Berlin},
  year      = {2002}
}

@book{bourbaki-lie-alg-7-9,
  shorthand = {Lie\textsubscript{7--9}},
  author    = {Bourbaki, Nicolas},
  title     = {Lie groups and {L}ie algebras. {C}hapters 7--9},
  series    = {Elements of Mathematics},
  note      = {Translated from the 1975 and 1982 French originals by Andrew Pressley},
  publisher = {Springer-Verlag},
  location  = {Berlin},
  year      = {2005}
}

@book{bourbaki-topology-1-4,
  shorthand = {Top\textsubscript{1--4}},
  author    = {Bourbaki, Nicolas},
  title     = {General topology. {C}hapters 1--4},
  series    = {Elements of mathematics},
  note      = {Translated from the French, Reprint of the 1989 English translation},
  publisher = {Springer-Verlag},
  year      = {1998},
  pagination={none}
}

@incollection{cartier-2007,
  author    = {Cartier, Pierre},
  title     = {A primer of {H}opf algebras},
  booktitle = {Frontiers in number theory, physics, and geometry. {II}},
  pages     = {537--615},
  publisher = {Springer},
  year      = {2007}
}

@article{conrad-2007,
  author  = {Conrad, Brian},
  title   = {Deligne's notes on {N}agata compactifications},
  journal = {J. Ramanujan Math. Soc.},
  volume  = {22},
  year    = {2007},
  number  = {3},
  pages   = {205--257}
}

@book{conrad-gabber-prasad-2010,
  author    = {Conrad, Brian and Gabber, Ofer and Prasad, Gopal},
  title     = {Pseudo-reductive groups},
  series    = {New Mathematical Monographs},
  volume    = {17},
  publisher = {Cambridge University Press},
  year      = {2010}
}

@unpublished{conrad-rgs,
  author       = {Conrad, Brian},
  title        = {Reductive group schemes},
  howpublished = {Available at \url{http://math.stanford.edu/~conrad/papers/luminysga3.pdf}},
  note         = {Notes from a summer school on SGA 3 in 2011},
  pagination   = {none}
}

@article{deligne-1971,
  author  = {Deligne, Pierre},
  title   = {Th\'eorie de {H}odge. {II}},
  journal = {Inst. Hautes \'Etudes Sci. Publ. Math.},
  number  = {40},
  year    = {1971},
  pages   = {5--57}
}

@incollection{deligne-milne-1982,
  author    = {Deligne, P. and Milne, J.S.},
  title     = {Tannakian categories},
  booktitle = {Hodge cycles, motives and {S}himura varieties},
  series    = {Lecture Notes in Mathematics},
  publisher = {Springer},
  volume    = {900},
  pages     = {101--228},
  note      = {Corrected and revised version available at \url{http://www.jmilne.org/math/xnotes/tc.pdf}},
  year      = {1982}
}

@book{demazure-gabriel-1980,
  author    = {Demazure, Michel and Gabriel, Peter},
  title     = {Introduction to algebraic geometry and algebraic groups},
  series    = {North-Holland Mathematical Studies},
  volume    = {39},
  note      = {Translated from the French by J. Bell},
  publisher = {North-Holland Publishing Co.},
  year      = {1980}
}

@book{ega2,
  shorthand = {EGA 2},
  author    = {Dieudonn\'e, Jean and Grothendieck, Alexandre},
  title     = {{\'E}l\'ements de g\'eom\'etrie alg\'ebrique. {II}. \'{E}tude globale \'el\'ementaire de quelques classes de morphismes},
  journal   = {Inst. Hautes \'Etudes Sci. Publ. Math.},
  number    = {8},
  year      = {1961},
  pagination={none}
}

@book{ega3-i,
  shorthand = {EGA 3\textsubscript{I}},
  author    = {Dieudonn\'e, Jean and Grothendieck, Alexandre},
  title     = {{\'E}l\'ements de g\'eom\'etrie alg\'ebrique. {III}. \'{E}tude cohomologique des faisceaux coh\'erents, {P}remi\`ere partie},
  journal   = {Inst. Hautes \'Etudes Sci. Publ. Math.},
  number    = {11},
  year      = {1961},
  pagination={none}
}

@book{folland-1984,
  author    = {Folland, Gerald},
  title     = {Real analysis},
  series    = {Pure and Applied Mathematics},
  note      = {Modern techniques and their applications},
  publisher = {John Wiley \& Sons},
  year      = {1984},
  pagination={none}
}

@book{gorenstein-lyons-solomon-1994,
  author    = {Gorenstein, Daniel and Lyons, Richard and Solomon, Ronald},
  title     = {The classification of the finite simple groups},
  series    = {Mathematical Surveys and Monographs},
  volume    = {40},
  publisher = {American Mathematical Society},
  year      = {1994}
}

@book{hartshorne-1977,
  author    = {Hartshorne, Robin},
  title     = {Algebraic geometry},
  publisher = {Springer-Verlag},
  year      = {1977}
}

@book{humphreys-1975,
  author    = {Humphreys, James},
  title     = {Linear algebraic groups},
  series    = {Graduate Texts in Mathematics},
  number    = {21},
  publisher = {Springer-Verlag},
  year      = {1975}
}

@book{jacobson-1979,
  author    = {Jacobson, Nathan},
  title     = {Lie algebras},
  note      = {Republication of the 1962 original},
  publisher = {Dover Publ. Inc.},
  location  = {New York},
  year      = {1979}
}

@book{jantzen-2003,
  author    = {Jantzen, Jens Carsten},
  title     = {Representations of algebraic groups},
  series    = {Mathematical Surveys and Monographs},
  volume    = {107},
  edition   = {Second},
  publisher = {American Mathematical Society},
  year      = {2003},
  pagination={none}
}

@book{johnstone-1977,
  author    = {Johnstone, P. T.},
  title     = {Topos theory},
  series    = {London Mathematical Society Monographs},
  volume    = {10},
  publisher = {Academic Press},
  year      = {1977}
}

@book{maclane-moerdijk-1994,
  author    = {Mac Lane, Saunders and Moerdijk, Ieke},
  title     = {Sheaves in geometry and logic},
  series    = {Universitext},
  note      = {Corrected reprint of the 1992 edition},
  publisher = {Springer-Verlag},
  year      = {1994}
}

@book{margulis-1991,
  author    = {Margulis, Gregory},
  title     = {Discrete subgroups of semisimple {L}ie groups},
  series    = {Ergebnisse der Mathematik und ihrer Grenzgebiete (3)},
  volume    = {17},
  publisher = {Springer-Verlag},
  year      = {1991},
  pagination={none}
}

@online{milne-2007,
  hyphenation = {american},
  author      = {Milne, J. S.},
  title       = {Semisimple algebraic groups in characteristic zero},
  date        = {2007-05-09},
  eprinttype  = {arXiv},
  eprint      = {0705.1348},
}

@booklet{milne-AGS,
  author       = {Milne, James},
  title        = {Basic theory of affine group schemes},
  year         = {2012},
  howpublished = {Online},
  url          = {http://www.jmilne.org/math/CourseNotes/AGS.pdf},
  pagination   = {none}
}

@booklet{milne-iAG,
  author       = {Milne, James},
  title        = {Algebraic groups},
  year         = {2014},
  howpublished = {Online},
  url          = {http://www.jmilne.org/math/CourseNotes/iAG.pdf},
  urldate      = {2014-10-02},
  pagination   = {none}
}

@online{milne-LAG,
  author = {Milne, James},
  title  = {Lie algebras, algebraic groups, and {L}ie groups},
  date   = {2014},
  url    = {http://www.jmilne.org/math/CourseNotes/LAG.pdf}
}

@incollection{nitsure-2005,
  author    = {Nitsure, Nitin},
  title     = {Construction of {H}ilbert and {Q}uot schemes},
  booktitle = {Fundamental algebraic geometry},
  series    = {Math. Surveys Monogr.},
  volume    = {123},
  pages     = {105--137},
  publisher = {Amer. Math. Soc.},
  year      = {2005},
  pagination={none}
}

@book{sga1,
  shorthand = {SGA 1},
  editor    = {Alexandre Grothendieck},
  title     = {Rev\^etements \'etales et groupe fondamentale ({SGA} 1)},
  note      = {Augment{\'e} de deux expos{\'e}s de M. Raynaud},
  series    = {Lecture Notes in Mathematics},
  volume    = {224},
  publisher = {Springer-Verlag},
  year      = {1971},
  pagination={none}
}

@book{sga3-i,
  shorthand = {SGA 3\textsubscript{I}},
  editor    = {Grothendieck, Alexandre and Demazure, Michel},
  title     = {Sch\'emas en groupes ({SGA} 3). {T}ome {I}. {P}ropri\'et\'es g\'en\'erales des sch\'emas en groupes},
  series    = {Lecture Notes in Mathematics},
  volume    = {151},
  publisher = {Springer-Verlag},
  year      = {1970},
  pagination={none}
}

@book{sga3-ii,
  shorthand = {SGA 3\textsubscript{II}},
  editor    = {Grothendieck, Alexandre and Demazure, Michel},
  title     = {Sch\'emas en groupes ({SGA} 3). {T}ome {II}. {G}roupes de type multiplicatif, et structure des sch\'emas en groupes g\'en\'eraux},
  series    = {Lecture Notes in Mathematics},
  volume    = {152},
  publisher = {Springer-Verlag},
  year      = {1970},
  pagination={none}
}
  

@book{sga3-iii,
  shorthand = {SGA 3\textsubscript{III}},
  editor    = {Grothendieck, Alexandre and Demazure, Michel},
  title     = {Sch\'emas en groupes ({SGA} 3). {T}ome {III}. {S}tructure des sch\'emas en groupes r\'eductifs},
  series    = {Lecture Notes in Mathematics},
  volume    = {153},
  publisher = {Springer-Verlag},
  year      = {1970},
  pagination={none}
}

@book{springer-2009,
  author    = {Springer, T.},
  title     = {Linear algebraic groups},
  series    = {Modern Mirkh\"auser Classics},
  edition   = {Second},
  publisher = {Birkh\"auser Boston},
  year      = {2009}
}

@book{springer-veldkamp-2000,
  author    = {Springer, Tonny and Veldkamp, Ferdinand},
  title     = {Octonions, {J}ordan algebras and exceptional groups},
  series    = {Springer Monographs in Mathematics},
  publisher = {Springer-Verlag},
  year      = {2000},
  pagination={none}
}

@article{tretkoff-tretkoff-1979,
  author  = {Tretkoff, Carol and Tretkoff, Marvin},
  title   = {Solution of the inverse problem of differential {G}alois theory in the classical case},
  journal = {Amer. J. Math.},
  volume  = {101},
  year    = {1979},
  number  = {6},
  pages   = {1327--1332}
}

@book{vanderput-singer-2003,
  author    = {van der Put, Marius and Singer, Michael},
  title     = {Galois theory of linear differential equations},
  series    = {Grundlehren der Mathematischen Wissenschaften},
  volume    = {328},
  publisher = {Springer-Verlag},
  year      = {2003},
  pagination={none}
}

@incollection{vojta-2007,
  author    = {Vojta, Paul},
  title     = {Jets via {H}asse-{S}chmidt derivations},
  booktitle = {Diophantine geometry},
  series    = {CRM Series},
  volume    = {4},
  pages     = {335--361},
  publisher = {Ed. Norm.},
  location  = {Pisa},
  year      = {2007}
}

@book{waterhouse-1979,
  author    = {Waterhouse, William},
  title     = {Introduction to affine group schemes},
  series    = {Graduate Texts in Mathematics},
  volume    = {66},
  publisher = {Springer-Verlag},
  location  = {New York-Berlin},
  year      = {1979}
}