# Minoru ITOH

Department of Mathematics and Computer Science,
Faculty of Science,
Kagoshima University,
Kagoshima 890-0065, Japan

### Publications

1. Explicit Newton's formulas for \$\mathfrak{gl}_n\$, J. Algebra 208 (1998), 687--697.
2. On central elements in the universal enveloping algebras of the orthogonal Lie algebras, Compositio Math. 127 (2001), 333--359. (with Tôru Umeda)
3. Capelli elements for the orthogonal Lie algebras, J. Lie Theory 10 (2000), 463--489.
4. A Cayley--Hamilton theorem for the skew Capelli elements, J. Algebra 242 (2001), 740--761.
5. Correspondences of the Gelfand invariants in reductive dual pairs, J. Austral. Math. Soc. 75 (2003), 263--277.
6. Capelli identities for the dual pair \$(O_M, Sp_N)\$, Math. Z. 246 (2004), 125--154.
7. Capelli identities for reductive dual pairs, Adv. Math. 194 (2005), 345--397.
8. Two determinants in the universal enveloping algebras of the orthogonal Lie algebras, J. Algebra 314 (2007), 479--506.
9. Two permanents in the universal enveloping algebras of the symplectic Lie algebras, Internat. J. Math. 20 (2009), 339--368.
10. Schur type functions associated with polynomial sequences of binomial type, Selecta Math. (N.S.) 14 (2009), 247--274.
11. Extensions of the tensor algebra and their applications, Comm. Algebra 40 (2012), 3442--3493.
12. A \$q\$-analogue of derivations on the tensor algebra and the \$q\$-Schur-Weyl duality, Lett. Math. Phys. 105 (2015), 1467--1477.
13. Invariant theory in exterior algebras and Amitsur-Levitzki type theorems, Adv. Math. 288 (2016), 679--701.
14. Twisted immanant and matrices with anticommuting entries, arXiv:1504.04689v2, to appear in Linear Multilinear Algebra.