@
article {A,
AUTHOR = {Ariki, Susumu},
TITLE = {On the decomposition numbers of the {H}ecke algebra of
{$G(m,1,n)$}},
JOURNAL = {J. Math. Kyoto Univ.},
FJOURNAL = {
Journal of Mathematics of Kyoto University},
VOLUME = {36},
YEAR = {1996},
NUMBER = {4},
PAGES = {789--808},
ISSN = {0023-608X},
CODEN = {JMKYAZ},
MRCLASS = {20C20 (20G99)},
MRNUMBER = {1443748 (98h:20012)},
MRREVIEWER = {Meinolf Geck},
}
@
article {B,
AUTHOR = {Brundan, Jonathan},
TITLE = {Modular branching rules and the {M}ullineux map for {H}ecke
algebras of type {$A$}},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {77},
YEAR = {1998},
NUMBER = {3},
PAGES = {551--581},
ISSN = {0024-6115},
CODEN = {PLMTAL},
MRCLASS = {20C08 (20G05)},
MRNUMBER = {1643413 (2000d:20007)},
MRREVIEWER = {Christine Bessenrodt},
DOI = {10.1112/S0024611598000562},
URL = {
https://doi.org/10.1112/S0024611598000562},
}
@
article {DJ1,
AUTHOR = {Dipper, Richard and James, Gordon},
TITLE = {Representations of {H}ecke algebras of general linear groups},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {52},
YEAR = {1986},
NUMBER = {1},
PAGES = {20--52},
ISSN = {0024-6115},
CODEN = {PLMTAL},
MRCLASS = {20G05},
MRNUMBER = {812444 (88b:20065)},
MRREVIEWER = {G. I. Lehrer},
DOI = {10.1112/plms/s3-52.1.20},
URL = {
https://doi.org/10.1112/plms/s3-52.1.20},
}
@
article {DJ2,
AUTHOR = {Dipper, Richard and James, Gordon},
TITLE = {Blocks and idempotents of {H}ecke algebras of general linear
groups},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {54},
YEAR = {1987},
NUMBER = {1},
PAGES = {57--82},
ISSN = {0024-6115},
CODEN = {PLMTAL},
MRCLASS = {20G05 (20C30)},
MRNUMBER = {872250 (88m:20084)},
MRREVIEWER = {J. Ritter},
DOI = {10.1112/plms/s3-54.1.57},
URL = {
https://doi.org/10.1112/plms/s3-54.1.57},
}
@
article {G,
AUTHOR = {Geck, Meinolf},
TITLE = {Brauer trees of {H}ecke algebras},
JOURNAL = {Comm. Algebra},
FJOURNAL = {Communications in Algebra},
VOLUME = {20},
YEAR = {1992},
NUMBER = {10},
PAGES = {2937--2973},
ISSN = {0092-7872},
CODEN = {COALDM},
MRCLASS = {20C20 (20F55 20G40)},
MRNUMBER = {1179271 (94a:20019)},
MRREVIEWER = {Robert B{
\'e}dard},
DOI = {10.1080/00927879208824499},
URL = {
https://doi.org/10.1080/00927879208824499},
}
@
article {Gr,
AUTHOR = {Grojnowski, I.},
TITLE = {Representations of affine {H}ecke algebras (and affine quantum
{${
\rm GL}_n$}) at roots of unity},
JOURNAL = {Internat. Math. Res. Notices},
FJOURNAL = {International Mathematics Research Notices},
VOLUME = {1994},
YEAR = {1994},
NUMBER = {5},
PAGES = {215 ff., approx.
\ 3 pp.
\ (electronic)},
ISSN = {1073-7928},
MRCLASS = {20F55 (17B37)},
MRNUMBER = {1270135 (95e:20054)},
MRREVIEWER = {Jie Du},
DOI = {10.1155/S1073792894000243},
URL = {
https://doi.org/10.1155/S1073792894000243},
}
@
article {J,
AUTHOR = {James, Gordon},
TITLE = {The decomposition matrices of {${
\rm GL}_n(q)$} for {$n
\le
10$}},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {60},
YEAR = {1990},
NUMBER = {2},
PAGES = {225--265},
ISSN = {0024-6115},
CODEN = {PLMTAL},
MRCLASS = {20C30 (20G05 20G40)},
MRNUMBER = {1031453 (91c:20024)},
MRREVIEWER = {Richard Dipper},
DOI = {10.1112/plms/s3-60.2.225},
URL = {
https://doi.org/10.1112/plms/s3-60.2.225},
}
@
book {JK,
AUTHOR = {James, Gordon and Kerber, Adalbert},
TITLE = {The representation theory of the symmetric group},
SERIES = {Encyclopedia of Mathematics and its Applications},
VOLUME = {16},
NOTE = {With a foreword by P. M. Cohn,
With an introduction by Gilbert de B. Robinson},
PUBLISHER = {Addison-Wesley Publishing Co., Reading, Mass.},
YEAR = {1981},
PAGES = {xxviii+510},
ISBN = {0-201-13515-9},
MRCLASS = {20-02 (20C30)},
MRNUMBER = {644144 (83k:20003)},
MRREVIEWER = {A. O. Morris},
}
@
article {JM1,
AUTHOR = {James, Gordon and Mathas, Andrew},
TITLE = {Hecke algebras of type {${
\bf A}$} with {$q=-1$}},
JOURNAL = {J. Algebra},
FJOURNAL = {
Journal of Algebra},
VOLUME = {184},
YEAR = {1996},
NUMBER = {1},
PAGES = {102--158},
ISSN = {0021-8693},
CODEN = {JALGA4},
MRCLASS = {20C99 (20C30)},
MRNUMBER = {1402572 (97h:20017)},
MRREVIEWER = {Meinolf Geck},
DOI = {10.1006/jabr.1996.0251},
URL = {
https://doi.org/10.1006/jabr.1996.0251},
}
@
article {JM2,
AUTHOR = {James, Gordon and Mathas, Andrew},
TITLE = {A {$q$}-analogue of the {J}antzen-{S}chaper theorem},
JOURNAL = {Proc. London Math. Soc. (3)},
FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
VOLUME = {74},
YEAR = {1997},
NUMBER = {2},
PAGES = {241--274},
ISSN = {0024-6115},
CODEN = {PLMTAL},
MRCLASS = {20C30 (20C20)},
MRNUMBER = {1425323 (97j:20013)},
MRREVIEWER = {Stuart Martin},
DOI = {10.1112/S0024611597000099},
URL = {
https://doi.org/10.1112/S0024611597000099},
}
@
article {K,
AUTHOR = {Kleshchev, A. S.},
TITLE = {Branching rules for modular representations of symmetric
groups. {III}. {S}ome corollaries and a problem of
{M}ullineux},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {
Journal of the London Mathematical Society. Second Series},
VOLUME = {54},
YEAR = {1996},
NUMBER = {1},
PAGES = {25--38},
ISSN = {0024-6107},
CODEN = {JLMSAK},
MRCLASS = {20C30 (20C20 20G05)},
MRNUMBER = {1395065 (96m:20019c)},
MRREVIEWER = {Jens C. Jantzen},
}
@
article {LLT,
AUTHOR = {Lascoux, Alain and Leclerc, Bernard and Thibon, Jean-Yves},
TITLE = {Hecke algebras at roots of unity and crystal bases of quantum
affine algebras},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {181},
YEAR = {1996},
NUMBER = {1},
PAGES = {205--263},
ISSN = {0010-3616},
CODEN = {CMPHAY},
MRCLASS = {17B37 (20C20)},
MRNUMBER = {1410572 (97k:17019)},
MRREVIEWER = {Thomas M. Halverson},
URL = {
http://projecteuclid.org/getRecord?id=euclid.cmp/1104287629},
}
@
article {LT,
AUTHOR = {Leclerc, Bernard and Thibon, Jean-Yves},
TITLE = {Canonical bases of {$q$}-deformed {F}ock spaces},
JOURNAL = {Internat. Math. Res. Notices},
FJOURNAL = {International Mathematics Research Notices},
VOLUME = {1996},
YEAR = {1996},
NUMBER = {9},
PAGES = {447--456},
ISSN = {1073-7928},
MRCLASS = {17B67 (05A30 05E10 17B10 17B37)},
MRNUMBER = {1399410 (97h:17023)},
MRREVIEWER = {Yvette Kosmann-Schwarzbach},
DOI = {10.1155/S1073792896000293},
URL = {
https://doi.org/10.1155/S1073792896000293},
}
@Misc{M,
AUTHOR =
"Andrew Mathas",
TITLE =
"Canonical bases and the decomposition matrices of
Ariki--Koike algebras
",
NOTE =
"Comment: paper being withdrawn",
YEAR =
"1996",
ABSTRACT =
"This paper has been withdrawn because of a gap in the
proof of Lemma 3.10. The main reults in this paper have
now been proved, and extended in the following papers:
S. Ariki and A. Mathas, The
number of simple modules of
the Hecke algebras of type G(r,1,n) S. Ariki, On the
classification of simple modules for cyclotomic Hecke
algebras of type G(m,1,n) and Kleshchev
multipartitions
",
URL = {
https://arxiv.org/abs/q-alg/9607005},
}
@
article {M1,
AUTHOR = {Ariki, Susumu},
TITLE = {On the classification of simple modules for cyclotomic {H}ecke
algebras of type {$G(m,1,n)$} and {K}leshchev multipartitions},
JOURNAL = {Osaka J. Math.},
FJOURNAL = {Osaka
Journal of Mathematics},
VOLUME = {38},
YEAR = {2001},
NUMBER = {4},
PAGES = {827--837},
ISSN = {0030-6126},
CODEN = {OJMAA7},
MRCLASS = {20C08 (20C20)},
MRNUMBER = {1864465 (2002i:20004)},
MRREVIEWER = {Richard M. Green},
URL = {
http://projecteuclid.org/getRecord?id=euclid.ojm/1153492553},
}
@
article {M2,
AUTHOR = {Ariki, Susumu and Mathas, Andrew},
TITLE = {The
number of simple modules of the {H}ecke algebras of type
{$G(r,1,n)$}},
JOURNAL = {Math. Z.},
FJOURNAL = {Mathematische Zeitschrift},
VOLUME = {233},
YEAR = {2000},
NUMBER = {3},
PAGES = {601--623},
ISSN = {0025-5874},
CODEN = {MAZEAX},
MRCLASS = {20C08 (16G99 17B67 20F55)},
MRNUMBER = {1750939 (2001e:20007)},
MRREVIEWER = {Gerhard Hiss},
DOI = {10.1007/s002090050489},
URL = {
https://doi.org/10.1007/s002090050489},
}