Updated on 2021/04/03

写真a

 
ITOH Minoru
 
Organization
Research Field in Science, Science and Engineering Area Graduate School of Science and Engineering (Science) Department of Science Mathematics and Informatics Program Professor
Title
Professor

Degree

  • 博士(理学) ( 2000.3   京都大学 )

Research Interests

  • 特に非可換代数における不変式論

  • 表現論

Research History

  • Kagoshima University   Research Field in Science, Science and Engineering Area Graduate School of Science and Engineering (Science) Department of Science Mathematics and Informatics Program   Professor

    2020.4

  • Kagoshima University   Research Field in Science, Science and Engineering Area Graduate School of Science and Engineering (Science) Mathematics and Computer Science Course   Professor

    2017.4 - 2020.3

  • Kagoshima University   Research Field in Science, Science and Engineering Area Graduate School of Science and Engineering (Science) Mathematics and Computer Science Course   Associate Professor

    2007.4 - 2017.3

  • Kagoshima University   Research Field in Science, Science and Engineering Area Graduate School of Science and Engineering (Science) Mathematics and Computer Science Course   Associate Professor (as old post name)

    2004.6 - 2007.3

Professional Memberships

  • 日本数学会

    1997.10

 

Papers

  • Minoru Itoh, Jimpei Shimoyoshi .  A condition for the existence of zero coefficients in the powers of the determinant polynomial .  Journal of Algebra579   231 - 236   2021.8A condition for the existence of zero coefficients in the powers of the determinant polynomialReviewed

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    Authorship:Lead author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jalgebra.2

  • Minoru Itoh .  Twisted immanant and matrices with anticommuting entries .  Linear and Multilinear Algebra64 ( 8 ) 1637 - 1653   2016.5Twisted immanant and matrices with anticommuting entriesReviewed

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Minoru Itoh .  Invariant theory in exterior algebras and Amitsur-Levitzki type theorems .  Advances in Mathematics288   679 - 701   2016.1Invariant theory in exterior algebras and Amitsur-Levitzki type theoremsReviewed

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Minoru Itoh .  A q-analogue of derivations on the tensor algebra and the q-Schur-Weyl duality .  Letters in Mathematical Physics105 ( 10 ) 1467 - 1477   2015.10A q-analogue of derivations on the tensor algebra and the q-Schur-Weyl dualityReviewed

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Minoru Itoh .  Extensions of the tensor algebra and their applications .  Communications in Algebra40 ( 9 ) 3442 - 3493   2012.9Extensions of the tensor algebra and their applicationsReviewed

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Minoru Itoh .  On extensions of the tensor algebra .  Casimir Force, Casimir Operators and the Riemann Hypothesis.Mathematics for Innovation in Industry and Science (edited by Gerrit van Dijk and Masato Wakayama, ISBN 978-3-11-022612-6, DE GRUYTER).   135 - 145   2010.10On extensions of the tensor algebraReviewed

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    Language:English   Publishing type:Research paper (international conference proceedings)  

  • Minoru Itoh .  Two permanents in the universal enveloping algebras of the symplectic Lie algebras .  International Journal of Mathematics20 ( 3 ) 339 - 368   2009.3Two permanents in the universal enveloping algebras of the symplectic Lie algebrasReviewed

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Minoru Itoh .  Schur type functions associated with polynomial sequences of binomial type .  Selecta Mathematica (N.S.)14 ( 2 ) 247 - 274   2009.1Schur type functions associated with polynomial sequences of binomial typeReviewed

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Minoru Itoh .  Two determinants in the universal enveloping algebras of the orthogonal Lie algebras .  Journal of Algebra314   479 - 506   2007.5Two determinants in the universal enveloping algebras of the orthogonal Lie algebrasReviewed

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Minoru Itoh .  Capelli identities for reductive dual pairs .  Adv. Math.194   345 - 397   2005.7Capelli identities for reductive dual pairsReviewed

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  • Minoru Itoh .  Capelli identities for the dual pair $(O_M, Sp_N)$ .  Math. Z.246   125 - 154   2004.1Capelli identities for the dual pair $(O_M, Sp_N)$Reviewed

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Minoru Itoh .  Correspondences of the Gelfand invariants in reductive dual pairs .  J. Austral. Math. Soc.75   263 - 277   2003.10Correspondences of the Gelfand invariants in reductive dual pairsReviewed

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  • Minoru Itoh .  A Cayley--Hamilton theorem for the skew Capelli elements .  Journal of Algebra242   740 - 761   2001.8A Cayley--Hamilton theorem for the skew Capelli elementsReviewed

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Minoru Itoh, Toru Umeda .  On central elements in the universal enveloping algebras of the orthogonal Lie algebras .  Compositio Math.127   333 - 359   2001.7On central elements in the universal enveloping algebras of the orthogonal Lie algebrasReviewed

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Minoru Itoh .  Capelli elements for the orthogonal Lie algebras .  J. Lie Theory10   463 - 489   2000.4Capelli elements for the orthogonal Lie algebrasReviewed

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Minoru Itoh .  Explicit Newton's formulas for $\mathfrak{gl}_n$ .  Journal of Algebra208   687 - 697   1998.10Explicit Newton's formulas for $\mathfrak{gl}_n$Reviewed

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    Language:English   Publishing type:Research paper (scientific journal)  

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