Updated on 2023/10/20

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 Areas

  • Natural Science / Algebra

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

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

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    Language:Japanese   Publisher:Journal of Algebra  

    We discuss the existence of zero coefficients in the powers of the determinant polynomial of order n. D. G. Glynn proved that the coefficients of the mth power of the determinant polynomial are all nonzero, if m=p−1 with a prime p. We show that the converse also holds, if n≥3. The proof is quite elementary.

    DOI: 10.1016/j.jalgebra.2021.03.017

    Scopus

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

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

  • 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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