Borel-Weil Theorem-References - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-21T08:53:46Z http://mathoverflow.net/feeds/question/89785 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/89785/borel-weil-theorem-references Borel-Weil Theorem-References math3.14159 2012-02-28T18:19:09Z 2012-02-28T19:35:09Z <p>I am asking about good references (both books and papers) for the well-known Borel-Weil theorem! Thank you very much!</p> http://mathoverflow.net/questions/89785/borel-weil-theorem-references/89789#89789 Answer by Salvatore Siciliano for Borel-Weil Theorem-References Salvatore Siciliano 2012-02-28T19:29:34Z 2012-02-28T19:29:34Z <p>J.P. Serre: "Représentations linéaires et espaces homogènes kählériens des groupes de Lie compacts (d'après Armand Borel et André Weil)", Séminaire Bourbaki (Paris: Soc. Math. France) 2 (100), 1995, 447–454. </p> <p>J. Tits: "Sur certaines classes d'espaces homogènes de groupes de Lie, Acad. Roy. Belg. Cl. Sci. Mém. Coll. 29 (1995).</p> <p>M. Sepanski: Compact Lie groups., Graduate Texts in Mathematics, 235, New York, Springer, 1995. (Theorem 7.58).</p> http://mathoverflow.net/questions/89785/borel-weil-theorem-references/89790#89790 Answer by Konstantin Ardakov for Borel-Weil Theorem-References Konstantin Ardakov 2012-02-28T19:35:09Z 2012-02-28T19:35:09Z <p>Chapter II.5 in Jantzen's <em>Representations of Algebraic Groups</em> offers an algebraic treatment of this theorem.</p>