Organization
Research Field in Science, Science and Engineering Area Graduate School of Science and Engineering (Science) Department of Informatics Informatics Program Professor
Title
Professor
Degree
(2000.3 Kyoto University)
ITOH Minoru
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
Algebra
Research History
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2020.4 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
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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 Professor
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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
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2004.6 - 2007.3 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)
Professional Memberships
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1997.10 日本数学会
Papers
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Masaki Hidaka and Minoru Itoh . The Schur polynomials in all primitive nth roots of unity . Journal of Combinatorial Theory, Series A218 2026.2Reviewed
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Minoru Itoh and Jimpei Shimoyoshi . A condition for the existence of zero coefficients in the powers of the determinant polynomial . Journal of Algebra579 231 - 236 2021.8Reviewed
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Minoru Itoh . Twisted immanant and matrices with anticommuting entries . Linear and Multilinear Algebra64 ( 8 ) 1637 - 1653 2016.5Reviewed
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Minoru Itoh . Invariant theory in exterior algebras and Amitsur-Levitzki type theorems . Advances in Mathematics288 679 - 701 2016.1Reviewed
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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 2015.10Reviewed
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Minoru Itoh . Extensions of the tensor algebra and their applications . Communications in Algebra40 ( 9 ) 3442 - 3493 2012.9Reviewed
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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 2010.10Reviewed
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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 2009.3Reviewed
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Minoru Itoh . Schur type functions associated with polynomial sequences of binomial type . Selecta Mathematica (N.S.)14 ( 2 ) 247 - 274 2009.1Reviewed
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Minoru Itoh . Two determinants in the universal enveloping algebras of the orthogonal Lie algebras . Journal of Algebra314 479 - 506 2007.5Reviewed
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Minoru Itoh . Capelli identities for reductive dual pairs . Adv. Math.194 345 - 397 2005.7Reviewed
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Minoru Itoh . Capelli identities for the dual pair $(O_M, Sp_N)$ . Math. Z.246 125 - 154 2004.1Reviewed
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Minoru Itoh . Correspondences of the Gelfand invariants in reductive dual pairs . J. Austral. Math. Soc.75 263 - 277 2003.10Reviewed
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Minoru Itoh . A Cayley--Hamilton theorem for the skew Capelli elements . Journal of Algebra242 740 - 761 2001.8Reviewed
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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 2001.7Reviewed
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Minoru Itoh . Capelli elements for the orthogonal Lie algebras . J. Lie Theory10 463 - 489 2000.4Reviewed
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Minoru Itoh . Explicit Newton's formulas for $\mathfrak{gl}_n$ . Journal of Algebra208 687 - 697 1998.10Reviewed