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
ITOH Minoru
Degree
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博士（理学） ( 2000.3 京都大学 )
Research Interests
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特に非可換代数における不変式論
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表現論
Research Areas
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Natural Science / Algebra
Research History
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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
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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
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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
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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
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日本数学会
1997.10
Papers
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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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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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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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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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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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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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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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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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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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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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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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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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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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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