TANISAKI, Toshiyuki

Recent publications and preprints

• (with R. Hotta) D-modules and algebraic groups. (in Japanese)
  Springer-Verlag Tokyo, 1995
  
• Rings and fields 3. (in Japanese)
  Iwanami, 1998.
  
• (with S.-J. Kang) Universal R-matrices and the center of the quantum generalized Kac-Moody algebras.
  Hiroshima Mathematical Journal. (1997) Vol. 27, No2. 347--360.
  
• Highest weight modules associated to parabolic subgroups with commutative unipotent radicals.
  in: Algebraic groups and their representations(ed. R. W. Carter and J. Saxl). 23--90, 1998, Kluwer Academic Publishers.
  
• (with A. Kamita, Y. Morita) Quantum deformations of certain prehomogeneous vector spaces I.
  Hiroshima Mathematical Journal. (1998)Vol. 28, 527--540.
  
• (with M. Kashiwara) On Kazhdan-Lusztig conjectures.
  Sugaku expositions. (1998)Vol. 11, 177--195.
  
• (with M. Kashiwara) Kazhdan-Lusztig conjecture for symmerizable Kac-Moody Lie algebras III.
  Asian J. Math. 2 (1998), no. 4, 779--832.
  
• (with M. Kashiwara) Characters of irreducible modules with non-critical highest weights over affine Lie algebras.
  math.QA/9903123, to appear in the proceedings of the ICRT, held at East China Normal University during June 29-July 4, 1998.
  
• Hypergeometric systems and Radon transforms for Hermitian symmetric spaces.
  Analysis on homogeneous spaces and representation theory of Lie groups (Okayama/Kyoto, 1997), 235--263,
  Adv. Stud. Pure Math., 26, Kinokuniya, 2000.
  
• (with M. Kashiwara) Parabolic Kazhdan-Lusztig polynomials and Schubert varieties.
  math.RT/9909153
  
• (with C. Marastoni) Radon transforms for quasi-equivariant D-modules on generalized flag manifolds.
  math.RT/9911095