Algebraic analysis of infinite symmetries

2008 Fiscal Year Self-evaluation Report

• Project/Area Number: 18340007
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Algebra
• Research Institution: Kyoto University
• Principal Investigator: KASHIWARA Masaki Kyoto University, 数理解析研究所, 教授 (60027381)
• Project Period (FY): 2006 – 2009
• Keywords: 表現論 / 量子群 / 偏屈層 / 旗多様体

Research Abstract

無限次元代数の表現論を圏論や幾何学の観点から研究すること。

Research Products

• [Journal Article] Symmetric crystals for $\germ{gl}\sb\infty$ (2008)
  • Author(s): Enomoto Naoya ; Kashiwara Masaki
  • Journal Title: Publ. Res. Inst. Math. Sci 44, no.3 Pages: 837-891
  • Peer Reviewed
• [Journal Article] Microlocalization of rational Cherednik algebras (2008)
  • Author(s): Kashiwara Masaki ; Rouquier Raphael
  • Journal Title: Duke Math. J 144, no.3 Pages: 525-573
  • Peer Reviewed
• [Journal Article] Affine geometric crystals and limit of perfect crystals (2008)
  • Author(s): Kashiwara Masaki ; Nakashima Toshiki ; Okado Masato
  • Journal Title: Trans. Amer. Math. Soc 360, no.7 Pages: 3645-3686
  • Peer Reviewed
• [Journal Article] Constructibility and duality for simple holonomic modules on complex symplectic manifolds (2008)
  • Author(s): Kashiwara Masaki ; Schapira Pierre
  • Journal Title: Amer. J. Math 130, no,1 Pages: 207-237
  • Peer Reviewed
• [Journal Article] Crystals and affine Hecke algebras of type $D$. Proc (2007)
  • Author(s): Kashiwara Masaki ; Miemietz Vanessa
  • Journal Title: Japan Acad. Ser. A Math. Sci 83, no.7 Pages: 135-139
  • Peer Reviewed
• [Journal Article] Perfect crystals for U\sb q(D\sp{(3)}\sb 4)$ (2007)
  • Author(s): Kashiwara M. ; Misra K. C. ; Okado M. ; Yamada D
  • Journal Title: J. Algebra 314, no.1 Pages: 392-423
  • Peer Reviewed
• [Journal Article] Abstract crystals for quantum generalized Kac-Moody algebras (2007)
  • Author(s): Jeong kyeonghoon ; Kang Seok-Jin ; Kashiwara Masaki ; Shin Dong-Uy
  • Journal Title: Int. Math. Res. Not. IMRN no.1 Pages: 19
  • Peer Reviewed
• [Journal Article] Symmetric crystals and affine Hecke algebras of type B (2006)
  • Author(s): Enomoto Naoya ; Kashiwara Masaki
  • Journal Title: Proc. Japan Acad. Ser. A Math. Sci 82, no.8 Pages: 131-136
  • Peer Reviewed