Kazhdan-Lusztig conjecture for affine Lie algebras with negative level II: Nonintegral case

Masaki Kashiwara and Toshiyuki Tanisaki

Source: Duke Math. J. Volume 84, Number 3 (1996), 771-813.

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See also: Masaki Kashiwara, Toshiyuki Tanisaki. Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. Duke Math. J. Vol. 77, No. 1 (1995), pp. 21–62.

Project Euclid: euclid.dmj/1077286145

Primary Subjects: 17B67

Secondary Subjects: 17B10

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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077244043
Mathematical Reviews number (MathSciNet): MR1408544
Zentralblatt MATH identifier: 0929.17027
Digital Object Identifier: doi:10.1215/S0012-7094-96-08424-0

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References

[AJS] H. H. Andersen, J. C. Jantzen, and W. Soergel, Representations of quantum groups at a $p$th root of unity and of semisimple groups in characteristic $p$: independence of $p$, Astérisque (1994), no. 220, 321.

Mathematical Reviews (MathSciNet): MR95j:20036

Zentralblatt MATH: 0802.17009

[BB1] A. Beilinson and J. Bernstein, Localisation de $g$-modules, C. R. Acad. Sci. Paris Sér. I Math. 292 (1981), no. 1, 15–18.

Mathematical Reviews (MathSciNet): MR82k:14015

Zentralblatt MATH: 0476.14019

[BB2] A. Beilinson and J. Bernstein, A generalization of Casselman's submodule theorem, Representation theory of reductive groups (Park City, Utah, 1982), Progr. Math., vol. 40, Birkhäuser Boston, Boston, MA, 1983, pp. 35–52.

Mathematical Reviews (MathSciNet): MR85e:22024

Zentralblatt MATH: 0526.22013

[BBD] A. Beĭ linson, J. Bernstein, and P. Deligne, Faisceaux pervers, Analysis and topology on singular spaces, I (Luminy, 1981), Astérisque, vol. 100, Soc. Math. France, Paris, 1982, pp. 5–171.

Mathematical Reviews (MathSciNet): MR86g:32015

Zentralblatt MATH: 0536.14011

[BK] J.-L. Brylinski and M. Kashiwara, Kazhdan-Lusztig conjecture and holonomic systems, Invent. Math. 64 (1981), no. 3, 387–410.

Mathematical Reviews (MathSciNet): MR83e:22020

Zentralblatt MATH: 0473.22009

Digital Object Identifier: doi:10.1007/BF01389272

[C1] L. Casian, Kazhdan-Lusztig multiplicity formulas for Kac-Moody algebras, C. R. Acad. Sci. Paris Sér. I Math. 310 (1990), no. 6, 333–337.

Mathematical Reviews (MathSciNet): MR92b:17038

Zentralblatt MATH: 0711.17013

[C2] L. Casian, Kazhdan-Lusztig conjecture in the negative level case (Kac-Moody algebras of affine type), preprint.

[DS] A. D'Agnolo and P. Schapira, Quantification de Leray de la dualité projective, C. R. Acad. Sci. Paris Sér. I Math. 319 (1994), no. 6, 595–598.

Mathematical Reviews (MathSciNet): MR95m:32018

Zentralblatt MATH: 0832.32013

[Kac] V. Kac, Infinite-dimensional Lie algebras, 3rd ed., Cambridge University Press, Cambridge, 1990.

Mathematical Reviews (MathSciNet): MR92k:17038

Zentralblatt MATH: 0716.17022

[KK] V. Kac and D. Kazhdan, Structure of representations with highest weight of infinite-dimensional Lie algebras, Adv. in Math. 34 (1979), no. 1, 97–108.

Mathematical Reviews (MathSciNet): MR81d:17004

Zentralblatt MATH: 0427.17011

Digital Object Identifier: doi:10.1016/0001-8708(79)90066-5

[K1] M. Kashiwara, Representation theory and $D$-modules on flag varieties, Astérisque (1989), no. 173-174, 9, 55–109.

Mathematical Reviews (MathSciNet): MR90k:17029

Zentralblatt MATH: 0705.22010

[K2] M. Kashiwara, The flag manifold of Kac-Moody Lie algebra, Algebraic analysis, geometry, and number theory (Baltimore, MD, 1988), Johns Hopkins Univ. Press, Baltimore, MD, 1989, pp. 161–190.

Mathematical Reviews (MathSciNet): MR98i:17030

Zentralblatt MATH: 0764.17019

[K3] M. Kashiwara, Kazhdan-Lusztig conjecture for a symmetrizable Kac-Moody Lie algebra, The Grothendieck Festschrift, Vol. II, Progr. Math., vol. 87, Birkhäuser Boston, Boston, MA, 1990, pp. 407–433.

Mathematical Reviews (MathSciNet): MR93a:17026

Zentralblatt MATH: 0727.17013

[KT1] M. Kashiwara and T. Tanisaki, Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebra. II. Intersection cohomologies of Schubert varieties, Operator algebras, unitary representations, enveloping algebras, and invariant theory (Paris, 1989), Progr. Math., vol. 92, Birkhäuser Boston, Boston, MA, 1990, pp. 159–195.

Mathematical Reviews (MathSciNet): MR93a:17027

Zentralblatt MATH: 0743.17024

[KT2] M. Kashiwara and T. Tanisaki, Kazhdan-Lusztig conjecture for affine Lie algebras with negative level, Duke Math. J. 77 (1995), no. 1, 21–62.

Mathematical Reviews (MathSciNet): MR96j:17016

Zentralblatt MATH: 0829.17020

Digital Object Identifier: doi:10.1215/S0012-7094-95-07702-3

Project Euclid: euclid.dmj/1077286145

[KL1] D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, Invent. Math. 53 (1979), no. 2, 165–184.

Mathematical Reviews (MathSciNet): MR81j:20066

Zentralblatt MATH: 0499.20035

Digital Object Identifier: doi:10.1007/BF01390031

[KL2]¹ D. Kazhdan and G. Lusztig, Tensor structures arising from affine Lie algebras. I, II, J. Amer. Math. Soc. 6 (1993), no. 4, 905–947, 949–1011.

Mathematical Reviews (MathSciNet): MR93m:17014

Zentralblatt MATH: 0786.17017

[KL2]² D. Kazhdan and G. Lusztig, Tensor structures arising from affine Lie algebras. III, J. Amer. Math. Soc. 7 (1994), no. 2, 335–381.

Mathematical Reviews (MathSciNet): MR94g:17048

Zentralblatt MATH: 0802.17007

Digital Object Identifier: doi:10.2307/2152762

JSTOR: links.jstor.org

[KL2]³ D. Kazhdan and G. Lusztig, Tensor structures arising from affine Lie algebras. IV, J. Amer. Math. Soc. 7 (1994), no. 2, 383–453.

Mathematical Reviews (MathSciNet): MR94g:17049

Zentralblatt MATH: 0802.17008

Digital Object Identifier: doi:10.2307/2152763

JSTOR: links.jstor.org

[L1] G. Lusztig, Some problems in the representation theory of finite Chevalley groups, The Santa Cruz Conference on Finite Groups (Univ. California, Santa Cruz, Calif., 1979), Proc. Sympos. Pure Math., vol. 37, Amer. Math. Soc., Providence, R.I., 1980, pp. 313–317.

Mathematical Reviews (MathSciNet): MR82i:20014

Zentralblatt MATH: 0453.20005

[L2] G. Lusztig, Monodromic systems on affine flag manifolds, Proc. Roy. Soc. London Ser. A 445 (1994), no. 1923, 231–246, Errata, 450 (1995), 731–732.

Mathematical Reviews (MathSciNet): MR95m:20049

Zentralblatt MATH: 0829.17018

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