% Encoding: ISO-8859-1 @Book{Adams:1996, Title = {Lectures on exceptional {L}ie groups}, Author = {Adams, J. F.}, Publisher = {University of Chicago Press, Chicago, IL}, Year = {1996}, Note = {With a foreword by J. Peter May, Edited by Zafer Mahmud and Mamoru Mimura}, Series = {Chicago Lectures in Mathematics}, ISBN = {0-226-00526-7; 0-226-00527-5}, Mrclass = {22-01 (22E10)}, Mrnumber = {1428422}, Mrreviewer = {William M. McGovern}, Owner = {user}, Pages = {xiv+122}, Timestamp = {2018.07.22} } @Article{Baba:2009, Title = {Satake diagrams and restricted root systems of semisimple pseudo-{R}iemannian symmetric spaces}, Author = {Baba, Kurando}, Journal = {Tokyo J. Math.}, Year = {2009}, Number = {1}, Pages = {127--158}, Volume = {32}, Fjournal = {Tokyo Journal of Mathematics}, ISSN = {0387-3870}, Mrclass = {17B20 (17B22 53C35)}, Mrnumber = {2541161}, Mrreviewer = {Oksana S. Yakimova}, Owner = {user}, Timestamp = {2017.12.04}, Url = {https://doi.org/10.3836/tjm/1249648414} } @Book{Bourbaki:2002, Title = {Lie groups and {L}ie algebras. {C}hapters 4--6}, Author = {Bourbaki, Nicolas}, Publisher = {Springer-Verlag, Berlin}, Year = {2002}, Note = {Translated from the 1968 French original by Andrew Pressley}, Series = {Elements of Mathematics (Berlin)}, ISBN = {3-540-42650-7}, Mrclass = {17-01 (00A05 20E42 20F55 22-01)}, Mrnumber = {1890629}, Owner = {user}, Pages = {xii+300}, Timestamp = {2017.11.15}, Url = {https://doi.org/10.1007/978-3-540-89394-3} } @Book{Carter:2005, Title = {Lie algebras of finite and affine type}, Author = {Carter, R. W.}, Publisher = {Cambridge University Press, Cambridge}, Year = {2005}, Series = {Cambridge Studies in Advanced Mathematics}, Volume = {96}, ISBN = {978-0-521-85138-1; 0-521-85138-6}, Mrclass = {17-02 (17B67)}, Mrnumber = {2188930}, Mrreviewer = {Stephen Slebarski}, Owner = {user}, Pages = {xviii+632}, Timestamp = {2017.11.15}, Url = {https://doi.org/10.1017/CBO9780511614910} } @InCollection{Carter:1995, Title = {On the representation theory of the finite groups of {L}ie type over an algebraically closed field of characteristic 0 [ {MR}1170353 (93j:20034)]}, Author = {Carter, R. W.}, Booktitle = {Algebra, {IX}}, Publisher = {Springer, Berlin}, Year = {1995}, Pages = {1--120, 235--239}, Series = {Encyclopaedia Math. Sci.}, Volume = {77}, Doi = {10.1007/978-3-662-03235-0_1}, Mrclass = {20C33 (20-02 20G05)}, Mrnumber = {1392478}, Owner = {user}, Timestamp = {2018.05.19}, Url = {https://doi.org/10.1007/978-3-662-03235-0_1} } @Article{Chuah:2013, Title = {Cartan automorphisms and {V}ogan superdiagrams}, Author = {Chuah, Meng-Kiat}, Journal = {Math. Z.}, Year = {2013}, Number = {3-4}, Pages = {793--800}, Volume = {273}, Fjournal = {Mathematische Zeitschrift}, ISSN = {0025-5874}, Mrclass = {17B20 (17B40)}, Mrnumber = {3030677}, Mrreviewer = {Zi-Xin Hou}, Owner = {user}, Timestamp = {2017.12.04}, Url = {https://doi.org/10.1007/s00209-012-1030-z} } @InCollection{Draper/Guido:2016, Title = {On the real forms of the exceptional {L}ie algebra {$\mathfrak e_6$} and their {S}atake diagrams}, Author = {Draper Fontanals, Cristina and Guido, Valerio}, Booktitle = {Non-associative and non-commutative algebra and operator theory}, Publisher = {Springer, Cham}, Year = {2016}, Pages = {211--226}, Series = {Springer Proc. Math. Stat.}, Volume = {160}, Mrclass = {17B20 (17A75 17B25 17B60)}, Mrnumber = {3613831}, Mrreviewer = {Alberto Elduque}, Owner = {user}, Timestamp = {2018.04.30} } @Book{Dynkin:2000, Title = {Selected papers of {E}. {B}. {D}ynkin with commentary}, Author = {Dynkin, E. B.}, Publisher = {American Mathematical Society, Providence, RI; International Press, Cambridge, MA}, Year = {2000}, Note = {Edited by A. A. Yushkevich, G. M. Seitz and A. L. Onishchik}, ISBN = {0-8218-1065-0}, Mrclass = {01A75 (60Jxx)}, Mrnumber = {1757976}, Mrreviewer = {William M. McGovern}, Owner = {user}, Pages = {xxviii+796}, Timestamp = {2017.11.15} } @Article{Dynkin:1952, Title = {Semisimple subalgebras of semisimple {L}ie algebras}, Author = {Dynkin, E. B.}, Journal = {Mat. Sbornik N.S.}, Year = {1952}, Note = {Reprinted in English translation in \cite{Dynkin:2000}.}, Pages = {349--462 (3 plates)}, Volume = {30(72)}, Mrclass = {09.1X}, Mrnumber = {0047629}, Mrreviewer = {I. Kaplansky}, Owner = {user}, Timestamp = {2017.11.15} } @Article{Frappat/Sciarrino/Sorba:1989, Title = {Structure of basic {L}ie superalgebras and of their affine extensions}, Author = {Frappat, L. and Sciarrino, A. and Sorba, P.}, Journal = {Comm. Math. Phys.}, Year = {1989}, Number = {3}, Pages = {457--500}, Volume = {121}, Fjournal = {Communications in Mathematical Physics}, ISSN = {0010-3616}, Mrclass = {17B70 (17A70 17B40)}, Mrnumber = {990776}, Mrreviewer = {A. Pianzola}, Owner = {user}, Timestamp = {2017.12.18}, Url = {http://0-projecteuclid.org.library.ucc.ie/euclid.cmp/1104178142} } @Book{Grove/Benson:1985, Title = {Finite reflection groups}, Author = {Grove, L. C. and Benson, C. T.}, Publisher = {Springer-Verlag, New York}, Year = {1985}, Edition = {Second}, Series = {Graduate Texts in Mathematics}, Volume = {99}, ISBN = {0-387-96082-1}, Mrclass = {20-01 (20B25 20H15)}, Mrnumber = {777684}, Owner = {user}, Pages = {x+133}, Timestamp = {2017.11.15}, Url = {https://doi.org/10.1007/978-1-4757-1869-0} } @Book{Helgason:2001, Title = {Differential geometry, {L}ie groups, and symmetric spaces}, Author = {Helgason, Sigurdur}, Publisher = {American Mathematical Society, Providence, RI}, Year = {2001}, Note = {Corrected reprint of the 1978 original}, Series = {Graduate Studies in Mathematics}, Volume = {34}, ISBN = {0-8218-2848-7}, Mrclass = {53C35 (22E10 22E46 22E60)}, Mrnumber = {1834454}, Owner = {user}, Pages = {xxvi+641}, Timestamp = {2017.11.15}, Url = {https://doi.org/10.1090/gsm/034} } @book {Humphreys:1978, AUTHOR = {Humphreys, James E.}, TITLE = {Introduction to {L}ie algebras and representation theory}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {9}, NOTE = {Second printing, revised}, PUBLISHER = {Springer-Verlag, New York-Berlin}, YEAR = {1978}, PAGES = {xii+171}, ISBN = {0-387-90053-5}, MRCLASS = {17Bxx}, MRNUMBER = {499562}, MRREVIEWER = {I. P. Shestakov}, } @Book{Humphreys:1990, Title = {Reflection groups and {C}oxeter groups}, Author = {Humphreys, James E.}, Publisher = {Cambridge University Press, Cambridge}, Year = {1990}, Series = {Cambridge Studies in Advanced Mathematics}, Volume = {29}, ISBN = {0-521-37510-X}, Mrclass = {20-02 (20F32 20F55 20G15 20H15)}, Mrnumber = {1066460}, Mrreviewer = {Louis Solomon}, Owner = {user}, Pages = {xii+204}, Timestamp = {2017.11.15}, Url = {https://doi.org/10.1017/CBO9780511623646} } @Book{Kac:1990, Title = {Infinite-dimensional {L}ie algebras}, Author = {Kac, Victor G.}, Publisher = {Cambridge University Press, Cambridge}, Year = {1990}, Edition = {Third}, ISBN = {0-521-37215-1; 0-521-46693-8}, Mrclass = {17B65 (17B67 17B68 58F07)}, Mrnumber = {1104219}, Owner = {user}, Pages = {xxii+400}, Timestamp = {2017.11.15}, Url = {https://doi.org/10.1017/CBO9780511626234} } @Article{Khastgir/Sasaki:1996, Title = {Non-canonical folding of {D}ynkin diagrams and reduction of affine {T}oda theories}, Author = {Khastgir, S. Pratik and Sasaki, Ryu}, Journal = {Progr. Theoret. Phys.}, Year = {1996}, Number = {3}, Pages = {503--518}, Volume = {95}, Fjournal = {Progress of Theoretical Physics}, ISSN = {0033-068X}, Mrclass = {81T10 (17B81 58F07 81R10)}, Mrnumber = {1388245}, Mrreviewer = {Mehmet Koca}, Owner = {user}, Timestamp = {2017.12.18}, Url = {https://doi.org/10.1143/PTP.95.503} } @book {Langlands:1967, AUTHOR = {Langlands, Robert P.}, TITLE = {Euler products}, NOTE = {A James K. Whittemore Lecture in Mathematics given at Yale University, 1967, Yale Mathematical Monographs, 1}, PUBLISHER = {Yale University Press, New Haven, Conn.-London}, YEAR = {1971}, PAGES = {v+53}, MRCLASS = {10D20 (22E55)}, MRNUMBER = {0419366}, MRREVIEWER = {Stephen Gelbart}, } @Book{OnishchikVinberg:1990, Title = {Lie groups and algebraic groups}, Author = {Onishchik, A. L. and Vinberg, {\`E}. B.}, Publisher = {Springer-Verlag}, Year = {1990}, Address = {Berlin}, Note = {Translated from the Russian and with a preface by D. A. Leites}, Series = {Springer Series in Soviet Mathematics}, ISBN = {3-540-50614-4}, Mrclass = {22-01 (17B20 20G20 22E10 22E15)}, Mrnumber = {91g:22001}, Mrreviewer = {James E. Humphreys}, Owner = {user}, Pages = {xx+328}, Timestamp = {2017.11.15} } @Book{Onishchik/Vinberg:1990, Title = {Lie groups and algebraic groups}, Author = {Onishchik, A. L. and Vinberg, \`E. B.}, Publisher = {Springer-Verlag, Berlin}, Year = {1990}, Note = {Translated from the Russian and with a preface by D. A. Leites}, Series = {Springer Series in Soviet Mathematics}, ISBN = {3-540-50614-4}, Mrclass = {22-01 (17B20 20G20 22E10 22E15)}, Mrnumber = {1064110}, Mrreviewer = {James E. Humphreys}, Owner = {user}, Pages = {xx+328}, Timestamp = {2017.11.15}, Url = {https://doi.org/10.1007/978-3-642-74334-4} } @Article{Ransingh:2013, Title = {Vogan diagrams of untwisted affine {K}ac-{M}oody superalgebras}, Author = {Ransingh, Biswajit}, Journal = {Asian-Eur. J. Math.}, Year = {2013}, Number = {4}, Pages = {1350062, 10}, Volume = {6}, Fjournal = {Asian-European Journal of Mathematics}, ISSN = {1793-5571}, Mrclass = {17B67 (17B05 17B22 17B40)}, Mrnumber = {3149279}, Mrreviewer = {Xiangqian Guo}, Owner = {user}, Timestamp = {2018.01.11} } @Article{Ransingh:unpub, Title = {{Vogan diagrams of affine twisted Lie superalgebras}}, Author = {Ransingh, B.}, Journal = {ArXiv e-prints}, Year = {2013}, Month = mar, Pages = {1--9}, Adsnote = {Provided by the SAO/NASA Astrophysics Data System}, Adsurl = {http://adsabs.harvard.edu/abs/2013arXiv1303.0092R}, Archiveprefix = {arXiv}, Eprint = {1303.0092}, Keywords = {Mathematical Physics, Mathematics - Representation Theory}, Owner = {user}, Primaryclass = {math-ph}, Timestamp = {2018.01.11} } @Article{Regelskis/Vlaar:2016, Title = {{Reflection matrices, coideal subalgebras and generalized Satake diagrams of affine type}}, Author = {{Regelskis}, V. and {Vlaar}, B.}, Journal = {ArXiv e-prints}, Year = {2016}, Month = feb, Pages = {1--118}, Adsnote = {Provided by the SAO/NASA Astrophysics Data System}, Adsurl = {http://adsabs.harvard.edu/abs/2016arXiv160208471R}, Archiveprefix = {arXiv}, Eprint = {1602.08471}, Keywords = {Mathematical Physics, Mathematics - Quantum Algebra, Mathematics - Representation Theory, Nonlinear Sciences - Exactly Solvable and Integrable Systems}, Owner = {user}, Primaryclass = {math-ph}, Timestamp = {2017.12.04} } @Book{Satake:1980, Title = {Algebraic structures of symmetric domains}, Author = {Satake, Ichir\^o}, Publisher = {Iwanami Shoten, Tokyo; Princeton University Press, Princeton, N.J.}, Year = {1980}, Series = {Kan\^o Memorial Lectures}, Volume = {4}, Mrclass = {32-02 (17C35 32Mxx 53C35)}, Mrnumber = {591460}, Mrreviewer = {S. Murakami}, Owner = {user}, Pages = {xvi+321}, Timestamp = {2017.11.15} } @Book{Springer:2009, Title = {Linear algebraic groups}, Author = {Springer, T. A.}, Publisher = {Birkh\"auser Boston, Inc., Boston, MA}, Year = {2009}, Edition = {second}, Series = {Modern Birkh\"auser Classics}, ISBN = {978-0-8176-4839-8}, Mrclass = {20G15 (14L10)}, Mrnumber = {2458469}, Owner = {user}, Pages = {xvi+334}, Timestamp = {2018.03.31} } @InCollection{Zuber:1998, Title = {Generalized {D}ynkin diagrams and root systems and their folding}, Author = {Zuber, Jean-Bernard}, Booktitle = {Topological field theory, primitive forms and related topics ({K}yoto, 1996)}, Publisher = {Birkh\"auser Boston, Boston, MA}, Year = {1998}, Pages = {453--493}, Series = {Progr. Math.}, Volume = {160}, Mrclass = {17B20 (05C25 20F55)}, Mrnumber = {1653035}, Mrreviewer = {Saeid Azam}, Owner = {user}, Timestamp = {2017.12.18} } @Book{Vinberg:1994, Title = {Lie groups and {L}ie algebras, {III}}, Editor = {Vinberg, \`E. B.}, Publisher = {Springer-Verlag, Berlin}, Year = {1994}, Note = {Structure of Lie groups and Lie algebras, A translation of {{\i}t Current problems in mathematics. Fundamental directions. Vol. 41} (Russian), Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1990 [ MR1056485 (91b:22001)], Translation by V. Minachin [V. V. Minakhin], Translation edited by A. L. Onishchik and \`E. B. Vinberg}, Series = {Encyclopaedia of Mathematical Sciences}, Volume = {41}, ISBN = {3-540-54683-9}, Mrclass = {22-06 (17-06 22Exx)}, Mrnumber = {1349140}, Owner = {user}, Pages = {iv+248}, Timestamp = {2017.11.15}, Url = {https://doi.org/10.1007/978-3-662-03066-0} } @Book{Fulton.Harris:1991, title = {Representation theory}, publisher = {Springer-Verlag, New York}, year = {1991}, author = {Fulton, William and Harris, Joe}, volume = {129}, series = {Graduate Texts in Mathematics}, isbn = {0-387-97527-6; 0-387-97495-4}, note = {A first course, Readings in Mathematics}, doi = {10.1007/978-1-4612-0979-9}, mrclass = {20G05 (17B10 20G20 22E46)}, mrnumber = {1153249}, mrreviewer = {James E. Humphreys}, pages = {xvi+551}, url = {https://doi.org/10.1007/978-1-4612-0979-9}, } @Comment{jabref-meta: databaseType:bibtex;}