Research Publications

Last modified: February 20, 2024

Papers (with peer review)

• 1. Invariant measures on non-symmetric reductive real spherical homogeneous spaces of rank-one type, accepted for publication, 33 pages.

  2. Multiplicity-free representations and visible actions, accepted for publication in Sugaku Expositions, 33 pages. 

  3. 無重複表現と可視的作用, 日本数学会 ‘数学’  74, 第3号 (2022), 225--252.

  4. (with A. Baklouti) Visible actions and criteria for multiplicity-freeness of representations of Heisenberg groups, Journal of Lie Theory (Heldermann Verlag) 31 (2021), 719--750, arXiv:1911.03656.

  5. (with K. Baba and O. Ikawa) A duality between non-compact semisimple symmetric pairs and commutative compact semisimple symmetric triads and its general theory, Differential Geometry and its Applications (Elsevier B. V.) 76 (2021), 101751, 42 pages, doi:10.1016/j.difgeo.2021.101751, arXiv:2002.00896.

  6. A Cartan decomposition for non-symmetric reductive spherical pairs of rank-one type and its application to visible actions, in Geometric and Harmonic Analysis on Homogeneous Spaces and Applications, 169--190, Springer Proceedings in Mathematics & Statistics, 290, Springer, Cham, 2019, doi:10.1007/978-3-030-26562-5_7, arXiv:1807.11664.

  7. Dimension formula for slice for visible actions on spherical nilpotent orbits in complex simple Lie algebras, in Geometric and Harmonic Analysis on Homogeneous Spaces and Applications, 209--243, Springer Proceedings in Mathematics & Statistics, 207, Springer, Cham, 2018, doi:10.1007/978-3-319-65181-1_8.

  8. (with K. Baba and O. Ikawa) A duality between compact symmetric triads and semisimple pseudo-Riemannian symmetric pairs with applications to geometry of Hermann type actions, Hermitian--Grassmannian Submanifolds, 211–221, Springer Proceedings in Mathematics & Statistics, 203, Springer, Singapore, 2017, doi:10.1007/978-981-10-5556-0_18.

  9. Visible actions on spherical nilpotent orbits in complex simple Lie algebras, Journal of Lie Theory (Heldermann Verlag) 26 (2016), 597–649, arXiv:1509.07281.

  10. Admissible representations, multiplicity-free representations and visible actions on non-tube type Hermitian symmetric spaces, Proceedings of the Japan Academy, Series A 91 (2015), 70–75, doi:10.3792/pjaa.91.70.

  11. Some remarks on visible actions on multiplicity-free spaces, KMITL Science and Technology Journal 12 (2013), 172–175.

  12. A characterization for Hermitian symmetric spaces to be of non-tube type by visible actions, RIMS Kokyuroku Bessatsu B36: New developments in group representation theory and non-commutative harmonic analysis (2012), 83–96 (Japanese).

  13. Visible actions on the non-symmetric homogeneous space SO(8,C)/G2(C), Advances in Pure and Applied Mathematics (de Gruyter) 2 (2011), 437–450, doi:10.1515/APAM.2010.039.

  14. Visible actions on reducible multiplicity-free spaces, International Mathematics Research Notices, IMRN (Oxford University Press) (2011), 885–929, doi:10.1093/imrn/rnq100.

  15. A generalized Cartan decomposition for the double coset space SU(2n+1)\SL(2n+1,C)/Sp(n,C), Journal of Mathematical Sciences, the University of Tokyo 17 (2010), 201–215.

  16. Linear visible actions, RIMS Kokyuroku Bessatsu B20: New Viewpoints of Representation Theory and Noncommutative Harmonic analysis (2010), 95–102 (Japanese).

  17. A characterization of non-tube type Hermitian symmetric spaces by visible actions, Geometriae Dedicata (Springer) 145 (2010), 151–158, doi:10.1007/s10711-009-9412-z.

  18. Visible actions on irreducible multiplicity-free spaces, International Mathematics Research Notices, IMRN (Oxford University Press) (2009), 3445–3466, doi:10.1093/imrn/rnp060.

  19. 既約なmultiplicity-free空間における可視的作用, RIMS Kokyuroku Bessatsu B7: Representation theory and analysis on homogeneous spaces (2008), 83–99 (Japanese).

  20. Visible actions on irreducible multiplicity-free spaces, Proceedings of the Japan Academy, Series A 83 (2007), 109–113.

  21. Visible actions on saturated and indecomposable multiplicity-free spaces, RIMS Kokyuroku Bessatsu (accepted for publication), 12 pages (Japanese).

Preprints

• 1. (with K. Baba and O. Ikawa) An alternative proof for Berger's classification of semisimple pseudo-Riemannian symmetric pairs from the view point of compact symmetric triads, in preparation.

  2. Invariant measures on reductive real spherical homogeneous spaces, in preparation.

Books edited

• 1. Development of Representation Theory and its Related Fields, RIMS Kokyuroku 1877, Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, February, 2014.

Papers and Proceedings (without peer review)

• 1. Visible actions and criteria for multiplicity-freeness of restrictions of quasi-regular representations of Heisenberg groups, 数理解析研究所講究録2334「RIMS共同研究（公開型）表現論とその周辺分野における諸問題」(2022), 65--75. 

  2. Geometric criteria for multiplicity-freeness of representations of Heisenberg groups, 部分多様体幾何とリー群作用2020記録集 (2021), 105--113. 

  3. Visible actions on Heisenberg homogeneous spaces and application to representation theory, 2019名城幾何学研究集会「多様体上の種々の幾何構造の融合」講演アブストラクト (2019), 38--40. 

  4. ケーリー型球等質空間に対する群作用と軌道分解, 名城大学幾何学研究集会「多様体上の計量と幾何構造」 講演アブストラクト(2017), 30--34.

  5. Visible actions on spherical nilpotent orbits, 京都大学数理解析研究所講究録1929 「群作用と部分多様体論の展開」 (2015), 112--123.

  6. Visible actions on spherical nilpotent orbits, 2014年度表現論シンポジウム講演集 (2014), 29--36.

  7. A characterization of non-tube type Hermitian symmetric spaces by visible actions, Oberwolfach Reports 10: Representations of Lie groups and Supergroups, 2013, 786--788, doi: 10.4171/OWR/2013/13.

  8. A generalized Cartan decomposition for spherical 4-symmetric spaces, 京都大学数理解析研究所講究録1825「表現論と非可換調和解析の展望」 (2013), 120--132.

  9. A generalization of Cartan decomposition for spherical 4-symmetric spaces, 研究集会「部分多様体幾何とリー群作用2011」記録集 (2011), 16--29.

  10. Visible actions on multiplicity-free spaces, Oberwolfach Reports 8: Infinite Dimensional Lie Theory, 2011, 3028--3030, doi: 10.4171/OWR/2010/51.

  11. A generalized Cartan decomposition for the non-symmetric homogeneous space SL(2n+1,C)/Sp(n,C), 研究集会「部分多様体幾何とリー群作用2010」記録集 (2011), 1--11.

  12. A generalized Cartan decomposition for the double coset space SU(2n+1)\SL(2n+1,C)/Sp(n,C), 京都大学数理解析研究所講究録1722「等質空間と非可換調和解析」 (2010), 20--30.

  13. Visible actions on nilpotent orbits of height two, 2010年度表現論シンポジウム講演集 (2010), 58--65.

  14. Visible actions on multiplicity-free spaces, 京都大学数理解析研究所講究録1689「表現論と組合わせ論」 (2010), 1--9.

  15. Visible actions on multiplicity-free spaces, 研究集会「部分多様体幾何とリー群作用」記録集 (2009), 1--9.

  16. Visible actions on multiplicity-free spaces, 第48回実函数論・函数解析学合同シンポジウム講演アブストラクト (2009), 1--12.

  17. Visible actions on the homogeneous space SO(7,C)/G2(C), 名城大学幾何学研究集会「幾何構造の諸相」講演アブストラクト (2009), 38--43.

  18. Visible actions on SL(m+n,C)/(SL(m,C)×SL(n,C)), in Proceedings of Symposium on Representation Theory 2008 (2008), 1--5.

  19. GCのmultiplicity-free空間におけるGUのvisibleな作用について, 表現論シンポジウム2005講演集 (2005), 214--215.