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J-GLOBAL ID:200901068380061955   Update date: Jan. 30, 2024

Yamane Hiroyuki

ヤマネ ヒロユキ | Yamane Hiroyuki
Affiliation and department:
Homepage URL  (1): http://www3.u-toyama.ac.jp/hiroyuki/
Research field  (1): Algebra
Research keywords  (2): 表現論 ,  Representation Theory
Research theme for competitive and other funds  (27):
  • 2022 - 2025 Study of generalized quantum groups by using Weyl groupoids
  • 2019 - 2023 ワイル亜群と一般化された量子群の表現論および関連するグラフ理論
  • 2016 - 2019 一般化された量子群およびコクセター亜群に関連する代数系の研究
  • 2013 - 2016 一般化された量子群と関係する代数系の表現論について
  • 2010 - 2012 コクセター亜群の構造をもつ一般化された量子群の普遍的な表現論の展開
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Papers (29):
  • Hiroyuki Yamane. Hamilton circuits of Cayley graphs of Weyl groupoids of generalized quantum groups. Toyama. Math. J. 2023. 43. 1-76
  • Hongda Lin, Hiroyuki Yamane, Honglian Zhang. On generators and defining relations of quantum e superalgebra Uq(sl ̂m|n). Journal of Algebra and Its Applications. 2022
  • Hiroyuki Yamane. Typical irreducible characters of generalized quantum groups. Journal of Algebra and Its Applications. 2020. 2140014-2140014
  • Punita Batra, Hiroyuki Yamane. Natural elements of center of generalized quantum groups. Cotemporary Mathematics, Categorical, Homological and Combinatorial Methods in Algebra. 2020. 751. 19-31
  • YAMANE Hiroyuki. Lowest positive almost central elements of U_q(sl^{(1)}(n|n)) (n\geq 2), U_q(sl^{(2)}(2n|2n)) (n\geq 2) and U_q(sl^{(4)}(2n+1|2n+1)) (n\geq 1) and their multi-parameter quantum affine superalgebras. Proceedins of the Meeting for Study of Number Theory, Hopf Algebras and Related Topics, ed. by Hiroyuki Yamane, Takeyoshi Kogiso, Yoshiyuki Koga, Iwao Kimura, Yokohama Publishers. 2019. 125-140
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MISC (8):
  • Yamane Hiroyuki. Some reduced expressions of the classical Weyl groups and the Weyl groupoids of the Lie superalgebras osp$(2m|2n)$ (Hopf algebras and quantum groups : their possible applications). RIMS Kokyuroku. 2013. 1840. 72-88
  • Yamane Hiroyuki. Note on the center of generalized quantum groups (Quantum groups and quantum topology). RIMS Kokyuroku. 2010. 1714. 1-25
  • Yamane Hiroyuki. A survey on Shapovalov determinants of (generalized) quantum groups at roots of 1 (Expansion of Combinatorial Representation Theory). RIMS Kokyuroku. 2009. 1647. 153-162
  • Yamane Hiroyuki, Kono Seiji. On the characters of Wenzl's (3,\ell)-diagram representations of the Iwahori-Hecke algebras at $\sqrt[\ell]{1}$ (Representations of Lie Groups and Noncommutative Harmonic Analysis). RIMS Kokyuroku. 2000. 1124. 160-167
  • H YAMANE. A SERRE TYPE THEOREM FOR AFFINE LIE-SUPERALGEBRAS AND THEIR QUANTIZED ENVELOPING SUPERALGEBRAS .2. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES. 1994. 70. 1. 31-36
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Works (6):
  • トロイダル量子群の研究
    2006 -
  • 完全積分可能系に関係する可換微分作用素環およびその固有函数の構造
    2005 -
  • トロイダル量子群の研究
    2005 -
  • 楕円リ-(超)代数、アフィン超リ-代数およびその量子群の表現論
    2004 -
  • 大自由度力学系における巨視的動的構造の形成機構に関する動力学的研究
    2004 -
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Education (6):
  • 1987 - 1990 大阪大学大学院理学研究科博士後期課程 数学専攻
  • - 1990 大阪大学大学院理学研究科博士後期課程単位修得退学
  • - 1990 Osaka University Graduate School, Division of Natural Science
  • 1985 - 1987 大阪大学大学院理学研究科博士前期課程 数学専攻
  • - 1985 Kochi University
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Professional career (1):
  • (BLANK)
Work history (6):
  • 2019/10 - 現在 富山大学大学院学術研究部理学系 教授
  • 2013/04 - 2019/09 University of Toyama Graduate School of Science and Engineering for Research
  • 2007/04 - 2013/03 Osaka University Graduate School of Information Science and Technology
  • 2002/04 - 2007/03 Osaka University Graduate School of Information Science and Technology
  • 1996/05 - 2002/03 Osaka University Graduate School of Science
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Awards (1):
  • 1993 - 第9回井上研究奨励賞
Association Membership(s) (1):
日本数学会
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