和田 堅太郎 (Kentaro Wada)

English

信州大学 / 理学部 / 数理・自然情報科学科  
〒390-8621 長野県 松本市 旭 3-1-1

連絡先: wada AT math.shinshu-u.ac.jp


信州代数セミナー

第15回代数群と量子群の表現論 研究集会 (RAQ 2012)


論文 ( MathSciNet )

  • (With R.Kodera) Finite dimensional simple modules of $(q,\mathbf{Q})$-current algebras, J. of Algebra. 570 (2021), 470 - 530.
  • (with T. Kuwabara and H.Miyachi) On the Mackey formulas for cyclotomic Hecke algebras and categories O of rational Cherednik algebras, Osaka J. Math. 58 (2021) 103 - 134.
  • (with S.Ariki, R.Kase, K.Miyamoto) Self-injective cellular algebras whose representation type are tame of polynomial growth, Algebr. Represent. Theory 23 (2020), no. 3, 833–871.
  • Finite dimensional simple modules of deformed current Lie algebras J. of Algebra. 501 (2018), 1-43.
  • New Realization of Cyclotomic q-Schur Algebras. Publ. RIMS Kyoto Univ. 52 (2016), 497-555.
  • Induction and Restriction Functors for Cyclotomic q-Schur Algebras. Osaka J. Math. 51 (2014), 785-822.
  • On Weyl modules of cyclotomic q-Schur algebras, Contemp. Math. 565 (2012), 261-286.
  • Blocks of category O for rational Cherednik algebras and of cyclotomic Hecke algebras of type G(r,p,n), Osaka J. Math. 48 (2011), 895-912.
  • Presenting cyclotomic q-Schur algebras, Nagoya Math. J. 201 (2011), 45-116.
  • On decomposition numbers with Jantzen filtration of cyclotomic q-Schur algebras, Represent. Theory 14 (2010), 417-434.
  • (with T. Shoji) Cyclotomic q-Schur algebras associated to the Ariki-Koike algebra, Represent. Theory 14 (2010), 379-416.
  • The representation type of Ariki-Koike algebras and cyclotomic q-Schur algebras, Adv. Math. 224 (2010), 539-560.
  • A product formula for decomposition numbers of the cyclotomic q-Schur algebra and its analogue for the Fock space, RIMS Kokyuroku Bessatsu B11 (2009),125-144.
  • (with T. Shoji) Product formulas for the cyclotomic v-Schur algebra and for the canonical bases of the Fock space, J. Algebra 321 (2009), 3527-3549.

    Preprints ( arXiv )

    ノート

  • Cellular 代数に関するノート

    報告集等

  • 変形カレント Lie 代数の有限次元既約表現 第2回 Algebraic Lie Theory and Representation Theory 報告集.
  • Cyclotomic q-Schur 代数の表現論 第58回代数学シンポジウム 報告集.
  • A quantum Frobenius map and tensor product theorem for cyclotomic q-Schur algebras, 第16回代数群と量子群の表現論研究集会 報告集.
  • Cyclotomic q-Schur 代数の Drinfeld 型の表示について, 数理解析研究所講究録 1870 (2013), 58-76.
  • Induction and Restriction Functors for Cyclotomic q-Schur Algebras, 第14回代数群と量子群の表現論研究集会 報告集.
  • On Weyl modules of cyclotomic q-Schur algebras, 第13回代数群と量子群の表現論研究集会 報告集.
  • Presenting cyclotomic q-Schur algebras, 第12回代数群と量子群の表現論研究集会 報告集.
  • Cyclotomic q-Schur algebra の表現型, 数理解析研究所講究録 1647 (2009), 60-68.

    講演の記録