메뉴 건너뛰기




Volumn 77, Issue 3, 1998, Pages 551-581

Modular branching rules and the Mullineux map for Hecke algebras of type A

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000183764     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024611598000562     Document Type: Article
Times cited : (60)

References (28)
  • 1
    • 33646855447 scopus 로고
    • Representations of quantum algebras
    • H. ANDERSEN, P. POLO, and WEN, K., 'Representations of quantum algebras', Invent. Math. 104 (1991) 1-59.
    • (1991) Invent. Math. , vol.104 , pp. 1-59
    • Andersen, H.1    Polo, P.2    Wen, K.3
  • 2
    • 0030327742 scopus 로고    scopus 로고
    • On the decomposition numbers of the Hecke algebra of G(m, 1, n)
    • S. ARIKI, 'On the decomposition numbers of the Hecke algebra of G(m, 1, n)', J. Math. Kyoto Univ. 36 (1996) 709-808.
    • (1996) J. Math. Kyoto Univ. , vol.36 , pp. 709-808
    • Ariki, S.1
  • 5
    • 85027233705 scopus 로고    scopus 로고
    • Lowering operators for GL(n) and quantum GL(n)
    • Seattle conference on representations, cohomology and actions of finite groups American Mathematical Society, Providence, R.I., to appear
    • J. W. BRUNDAN, 'Lowering operators for GL(n) and quantum GL(n)', Seattle conference on representations, cohomology and actions of finite groups (1996), Proceedings of Symposia in Pure Mathematics (American Mathematical Society, Providence, R.I., to appear).
    • (1996) Proceedings of Symposia in Pure Mathematics
    • Brundan, J.W.1
  • 6
    • 0141442063 scopus 로고
    • n-modules
    • Arcata conference on representations of finite groups (1987), American Mathematical Society, Providence, R.I.
    • n-modules', Arcata conference on representations of finite groups (1987), Proceedings of Symposia in Pure Mathematics 47 (American Mathematical Society, Providence, R.I., 1987), pp. 351-366.
    • (1987) Proceedings of Symposia in Pure Mathematics , vol.47 , pp. 351-366
    • Carter, R.W.1
  • 7
    • 85027238312 scopus 로고    scopus 로고
    • preprint, Queen Mary and Westfield College, London
    • A. Cox, 'The blocks of the q-Schur algebra', preprint, Queen Mary and Westfield College, London, 1997.
    • (1997) The Blocks of the Q-Schur Algebra
    • Cox, A.1
  • 8
    • 84963044016 scopus 로고
    • Representations of Hecke algebras of general linear groups
    • R. DIPPER and G. JAMES, 'Representations of Hecke algebras of general linear groups', Proc. London Math. Soc. (3) 52 (1986) 20-52.
    • (1986) Proc. London Math. Soc. , vol.52 , Issue.3 , pp. 20-52
    • Dipper, R.1    James, G.2
  • 9
    • 84959836462 scopus 로고
    • Blocks and idempotents of Hecke algebras of general linear groups
    • R. DIPPER and G. JAMES, 'Blocks and idempotents of Hecke algebras of general linear groups', Proc. London Math. Soc. (3) 54 (1987) 57-82.
    • (1987) Proc. London Math. Soc. , vol.54 , Issue.3 , pp. 57-82
    • Dipper, R.1    James, G.2
  • 11
    • 33646942212 scopus 로고
    • q-Tensor space and q-Weyl modules
    • R. DIPPER and G. JAMES, 'q-Tensor space and q-Weyl modules', Trans. Amer. Math. Soc. 327 (1991) 251-282.
    • (1991) Trans. Amer. Math. Soc. , vol.327 , pp. 251-282
    • Dipper, R.1    James, G.2
  • 12
    • 0000802226 scopus 로고
    • A note on quantized Weyl reciprocity at roots of unity
    • J. DU, 'A note on quantized Weyl reciprocity at roots of unity', Algebra Colloq. 2 (1995) 363-372.
    • (1995) Algebra Colloq. , vol.2 , pp. 363-372
    • Du, J.1
  • 13
    • 85027229985 scopus 로고    scopus 로고
    • A proof of the Mullineux conjecture
    • to appear
    • B. FORD and A. S. KLESHCHEV, 'A proof of the Mullineux conjecture', Math. Z. to appear.
    • Math. Z.
    • Ford, B.1    Kleshchev, A.S.2
  • 15
    • 0002600021 scopus 로고
    • Combinatorics and the Schur algebra
    • J. A. GREEN, 'Combinatorics and the Schur algebra', J. Pure Appl. Algebra 88 (1993) 290-316.
    • (1993) J. Pure Appl. Algebra , vol.88 , pp. 290-316
    • Green, J.A.1
  • 19
    • 0001065787 scopus 로고    scopus 로고
    • Lectures on quantum groups
    • American Mathematical Society, Providence, R.I.
    • J. C. JANTZEN, Lectures on quantum groups, Graduate Studies in Mathematics 6 (American Mathematical Society, Providence, R.I., 1996).
    • (1996) Graduate Studies in Mathematics , vol.6
    • Jantzen, J.C.1
  • 20
    • 84963044139 scopus 로고
    • On the representation theory of the symmetric groups
    • J. C. JANTZEN and G. M. SEITZ, 'On the representation theory of the symmetric groups', Proc. London Math. Soc. (3) 65 (1992) 475-504.
    • (1992) Proc. London Math. Soc. , vol.65 , Issue.3 , pp. 475-504
    • Jantzen, J.C.1    Seitz, G.M.2
  • 21
    • 84962994272 scopus 로고
    • On restrictions of irreducible modular representations of semisimple algebraic groups and symmetric groups to some natural subgroups, I
    • A. S. KLESHCHEV, 'On restrictions of irreducible modular representations of semisimple algebraic groups and symmetric groups to some natural subgroups, I', Proc. London Math. Soc. (3) 69 (1994) 515-540.
    • (1994) Proc. London Math. Soc. , vol.69 , Issue.3 , pp. 515-540
    • Kleshchev, A.S.1
  • 22
    • 0000034268 scopus 로고
    • Branching rules for modular representations of symmetric groups, I
    • A. S. KLESHCHEV, 'Branching rules for modular representations of symmetric groups, I', J. Algebra 178 (1995) 493-511.
    • (1995) J. Algebra , vol.178 , pp. 493-511
    • Kleshchev, A.S.1
  • 23
    • 0000453228 scopus 로고
    • Branching rules for modular representations of symmetric groups, II
    • A. S. KLESHCHEV, 'Branching rules for modular representations of symmetric groups, II', J. reine angew. Math. 459 (1995) 163-212.
    • (1995) J. Reine Angew. Math. , vol.459 , pp. 163-212
    • Kleshchev, A.S.1
  • 24
    • 0030209062 scopus 로고    scopus 로고
    • Branching rules for modular representations of symmetric groups III: Some corollaries and a problem of Mullineux
    • A. S. KLESHCHEV, 'Branching rules for modular representations of symmetric groups III: some corollaries and a problem of Mullineux', J. London Math. Soc. (2) 54 (1996) 25-38.
    • (1996) J. London Math. Soc. , vol.54 , Issue.2 , pp. 25-38
    • Kleshchev, A.S.1
  • 25
    • 0001386626 scopus 로고    scopus 로고
    • Hecke algebras at roots of unity and crystal bases of quantum affine algebras
    • A. LASCOUX, B. LECLERC, and J.-Y. THIBON, 'Hecke algebras at roots of unity and crystal bases of quantum affine algebras', Comm. Math. Phys. 181 (1996) 205-263.
    • (1996) Comm. Math. Phys. , vol.181 , pp. 205-263
    • Lascoux, A.1    Leclerc, B.2    Thibon, J.-Y.3
  • 26
    • 84968491405 scopus 로고
    • Finite-dimensional Hopf algebras arising from quantized universal enveloping algebras
    • G. LUSZTIG, 'Finite-dimensional Hopf algebras arising from quantized universal enveloping algebras', J. Amer. Math. Soc. 3 (1990) 257-297.
    • (1990) J. Amer. Math. Soc. , vol.3 , pp. 257-297
    • Lusztig, G.1
  • 27
    • 0002067996 scopus 로고
    • Bijections of p-regular partitions and p-modular irreducibles of the symmetric groups
    • G. MULLINEUX, 'Bijections of p-regular partitions and p-modular irreducibles of the symmetric groups', J. London Math. Soc. (2) 20 (1979) 60-66.
    • (1979) J. London Math. Soc. , vol.20 , Issue.2 , pp. 60-66
    • Mullineux, G.1
  • 28
    • 85012495178 scopus 로고    scopus 로고
    • Some decomposition numbers for Hecke algebras of general linear groups
    • M. J. RICHARDS, 'Some decomposition numbers for Hecke algebras of general linear groups', Math. Proc. Cambridge Philos. Soc. 119 (1996) 383-402.
    • (1996) Math. Proc. Cambridge Philos. Soc. , vol.119 , pp. 383-402
    • Richards, M.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.