메뉴 건너뛰기




Volumn 74, Issue 2, 1999, Pages 280-296

A character formula for a family of simple modular representations of GLn

Author keywords

Character formula; Modular representations; Polynomial functors; Tilting modules; Verlinde's formula

Indexed keywords


EID: 0007008603     PISSN: 00102571     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000140050089     Document Type: Article
Times cited : (5)

References (25)
  • 1
    • 0010298090 scopus 로고    scopus 로고
    • Tilting modules for classical groups and Howe duality in positive characteristic
    • A.M. Adamovitch, G.L. Rybnikov, Tilting modules for classical groups and Howe duality in positive characteristic. Transform. Groups 1 (1996), 1-34.
    • (1996) Transform. Groups , vol.1 , pp. 1-34
    • Adamovitch, A.M.1    Rybnikov, G.L.2
  • 2
    • 0002387482 scopus 로고
    • The strong linkage principle
    • H.H. Andersen, The strong linkage principle. J. Reine Angew Math. 315 (1980), 53-55.
    • (1980) J. Reine Angew Math. , vol.315 , pp. 53-55
    • Andersen, H.H.1
  • 3
    • 0001768267 scopus 로고
    • Representations of quantum groups at a pth root of unity and of semisimple groups in characteristic p: Independence of p
    • H.H Andersen, J.C. Jantzen, W. Soergel, Representations of quantum groups at a pth root of unity and of semisimple groups in characteristic p: independence of p. Astérisque 220 (1994).
    • (1994) Astérisque , vol.220
    • Andersen, H.H.1    Jantzen, J.C.2    Soergel, W.3
  • 4
    • 38249040335 scopus 로고
    • Nilpotent elements in the Green ring
    • D.J. Benson, J.F. Carlson, Nilpotent elements in the Green ring. J. Algebra 104 (1986), 329-350.
    • (1986) J. Algebra , vol.104 , pp. 329-350
    • Benson, D.J.1    Carlson, J.F.2
  • 7
    • 0003194390 scopus 로고
    • Rational representations of algebraic groups
    • Springer Verlag
    • S. Donkin: Rational representations of algebraic groups. Springer Verlag, Lecture Notes in Mathematics 1140 (1985).
    • (1985) Lecture Notes in Mathematics , vol.1140
    • Donkin, S.1
  • 8
    • 51249162045 scopus 로고
    • On tilting modules for algebraic groups
    • S. Donkin, On tilting modules for algebraic groups. Math. Z. 212 (1993), 39-60.
    • (1993) Math. Z. , vol.212 , pp. 39-60
    • Donkin, S.1
  • 9
  • 10
    • 0000090735 scopus 로고
    • Catégorie de fusion pour les groupes de Chevalley
    • G. Georgiev, O. Mathieu, Catégorie de fusion pour les groupes de Chevalley. C. R. Acad. Sci. Paris 315 (1992), 659-662.
    • (1992) C. R. Acad. Sci. Paris , vol.315 , pp. 659-662
    • Georgiev, G.1    Mathieu, O.2
  • 11
    • 0037568992 scopus 로고
    • Fusion rings for modular representations of Chevalley groups
    • Mathematical aspects of conformal and topological field theories and quantum groups (South Hadley, 1992)
    • G. Georgiev, O. Mathieu, Fusion rings for modular representations of Chevalley groups. Mathematical aspects of conformal and topological field theories and quantum groups (South Hadley, 1992), Contemp. Math. 175 (1994), 89-100.
    • (1994) Contemp. Math. , vol.175 , pp. 89-100
    • Georgiev, G.1    Mathieu, O.2
  • 13
    • 0003360621 scopus 로고
    • Representations of algebraic groups
    • Academic Press
    • J.C. Jantzen, Representations of algebraic groups. Academic Press, Pure and applied Mathematics 131 (1987).
    • (1987) Pure and Applied Mathematics , vol.131
    • Jantzen, J.C.1
  • 14
    • 0001534881 scopus 로고    scopus 로고
    • Completely splittable representations of symmetric groups
    • A. Kleshchev, Completely splittable representations of symmetric groups. J. Algebra 181 (1996), 584-592.
    • (1996) J. Algebra , vol.181 , pp. 584-592
    • Kleshchev, A.1
  • 15
    • 0002640111 scopus 로고
    • Perspectives on invariant theory: Schur duality, multiplicity-free actions and beyond
    • The Schur lectures (Tel Aviv, 1992)
    • R. Howe, Perspectives on invariant theory: Schur duality, multiplicity-free actions and beyond. The Schur lectures (Tel Aviv, 1992), Israel Math. Conf. Proc. 8 (1995), 1-182.
    • (1995) Israel Math. Conf. Proc. , vol.8 , pp. 1-182
    • Howe, R.1
  • 16
    • 0001319192 scopus 로고
    • A generalization of the Littlewood-Richardson rule
    • P. Littelmann, A generalization of the Littlewood-Richardson rule. J. Algebra 130 (1990), 328-368.
    • (1990) J. Algebra , vol.130 , pp. 328-368
    • Littelmann, P.1
  • 18
    • 0001732375 scopus 로고
    • Some problems in the representation theory of finite Chevalley groups
    • Classical groups and related topics (Santa Cruz, 1979)
    • G. Lusztig, Some problems in the representation theory of finite Chevalley groups. Classical groups and related topics (Santa Cruz, 1979), Proc. Symp. Pure Math. 37 (1978), 313-317.
    • (1978) Proc. Symp. Pure Math. , vol.37 , pp. 313-317
    • Lusztig, G.1
  • 19
    • 85009741946 scopus 로고
    • Hecke algebras and Jantzen's generic decomposition patterns
    • G. Lusztig, Hecke algebras and Jantzen's generic decomposition patterns. Adv. Math. 37 (1980), 121-164.
    • (1980) Adv. Math. , vol.37 , pp. 121-164
    • Lusztig, G.1
  • 20
    • 0001591699 scopus 로고
    • Filtrations of G-modules
    • O. Mathieu, Filtrations of G-modules. Ann. Sci. Ec. Norm. Sup. 23 (1990), 625-644.
    • (1990) Ann. Sci. Ec. Norm. Sup. , vol.23 , pp. 625-644
    • Mathieu, O.1
  • 21
    • 0001989097 scopus 로고    scopus 로고
    • On the dimension of some modular irreducible representations of the symmetric group
    • O. Mathieu, On the dimension of some modular irreducible representations of the symmetric group. Lett. Math. Phys. 38 (1996), 23-32.
    • (1996) Lett. Math. Phys. , vol.38 , pp. 23-32
    • Mathieu, O.1
  • 22
    • 51249177179 scopus 로고
    • The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
    • C.M. Ringel, The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences. Math. Z. 208 (1991), 209-223.
    • (1991) Math. Z. , vol.208 , pp. 209-223
    • Ringel, C.M.1
  • 23
    • 0007464984 scopus 로고    scopus 로고
    • Conjecture de Lusztig
    • Séminaire Bourbaki (1994)
    • W. Soergel, Conjecture de Lusztig. Séminaire Bourbaki (1994), Astérisque 237 (1996), 75-86.
    • (1996) Astérisque , vol.237 , pp. 75-86
    • Soergel, W.1
  • 25
    • 0001571020 scopus 로고
    • Sheaf cohomology on G/B and tensor products of Weyl modules
    • Wang Jian-Pian, Sheaf cohomology on G/B and tensor products of Weyl modules. J. of Algebra 77 (1982), 162-185.
    • (1982) J. of Algebra , vol.77 , pp. 162-185
    • Jian-Pian, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.