Geometry of homogeneous spaces, measures, characteristic classes

[P] T. Kobayashi, Recent advances in branching problems of representations, To appear in Sugaku Expositions, Amer. Math. Soc.; a translation by Toshihisa Kubo of the Japanese original article. arXiv: 2112.00642.
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[332] T. Kobayashi, Conjectures on reductive homogeneous spaces, Lecture Notes in Mathematics, vol. 2313, pp. 217-231, Springer, 2023, DOI: 10.1007/978-3-031-12244-6_17. Available also at arXiv: 2204.08854.
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[327] Y. Benoist, Y. Inoue, and T. Kobayashi, Temperedness criterion of the tensor product of parabolic induction for GLn, Journal of Algebra 617 (2023), 1-16, DOI: 10.1016/j.jalgebra.2022.10.029. arXiv: 2108.12125.
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[326] Y. Benoist and T. Kobayashi, Tempered homogeneous spaces IV, Journal of the Institute of Mathematics of Jussieu (2022), 1-28, DOI: 10.1017/S1474748022000287. Published on line, First View: 07 June, 2022. Available also at arXiv: 2009.10391.
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[324] Y. Benoist and T. Kobayashi, Tempered homogeneous spaces II, Dynamics, Geometry, Number Theory: The Impact of Margulis on Modern Mathematics (D. Fisher, D. Kleinbock, and G. Soifer, eds.), pp. 213-245, The University of Chicago Press, 2022. Available also at arXiv: 1706.10131.
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[321] Y. Benoist and T. Kobayashi, Tempered homogeneous spaces III, Journal of Lie Theory 31 (2021), 833-869.
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[319] T. Kobayashi, Tempered homogeneous spaces, Proceedings of the MSJ Spring Meeting 2021 at Keio University, 2021, p. 14 pages.
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[316] T. Kobayashi, Topics on global analysis of manifolds and representation theory of reductive groups, preprint, 14 pages. arXiv: 2006.16680.
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[250] T. Kobayashi, T. Kubo, and M. Pevzner, Conformal symmetry breaking operators for differential forms on spheres, Lecture Notes in Mathematics, vol. 2170, Springer Singapore, 2016, ix+192 pages. DOI: 10.1007/978-981-10-2657-7. arXiv: 1605.09272. Softcover ISBN: 978-981-10-2656-0. eBook ISBN: 978-981-10-2657-7.
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[225] Y. Benoist and T. Kobayashi, Temperedness of reductive homogeneous spaces, J. Eur. Math. Soc. 17 (2015), 3015-3036, DOI: 10.4171/JEMS/578. arXiv: 1211.1203.
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[222] T. Kobayashi, A program for branching problems in the representation theory of real reductive groups, Representations of Reductive Groups: In Honor of David A. Vogan, Jr. on his 60th Birthday (M. Nevins and P. Trapa, eds.), Progress in Mathematics, vol. 312, Birkhäuser, 2015, pp. 277-322, DOI: 10.1007/978-3-319-23443-4_10. arXiv: 1509.08861. ISBN: 978331923442.
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[203] T. Kobayashi, Shintani functions, real spherical manifolds, and symmetry breaking operators, Developments and Retrospectives in Lie Theory Geometric and Analytic Methods (G. Mason, I. Penkov, and Joseph A. Wolf, eds.), Developments in Mathematics, vol. 37, 2014, pp. 127-159, arXiv: 1401.0117. DOI: 10.1007/978-3-319-09934-7_5.
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[201] T. Kobayashi, Symmetric pairs with finite-multiplicity property for branching laws of admissible representations, Proc. Japan Acad., Ser. A, Mathematical Sciences 90 (2014), no. 6, 79-83, DOI: 10.3792/pjaa.90.79.
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[200] T. Kobayashi and T. Matsuki, Classification of finite-multiplicity symmetric pairs, Transformation Groups 19 (2014), 457-493, Special Issue in honour of Professor Dynkin for his 90th birthday. DOI: 10.1007/s00031-014-9265-x. arXiv: 1312.4246.
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[177] T. Kobayashi and T. Oshima, Finite multiplicity theorems for induction and restriction, Advances in Mathematics 248 (2013), 921-944. DOI:10.1016/j.aim.2013.07.015. arXiv:1108.3477.
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[76] T. Kobayashi and S. Nasrin, Multiplicity one theorem in the orbit method, Amer. Math. Soc. Transl., Advances in the Mathematical Sciences, Series 2 210 (2003), 161-169, Special volume in memory of Professor F. Karpelevic.
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[46] T. Kobayashi, Harmonic analysis on homogeneous manifolds of reductive type and unitary representation theory, Translations, Series II, Selected Papers on Harmonic Analysis, Groups, and Invariants (K. Nomizu, ed.), vol. 183, Amer. Math. Soc., 1998, pp. 1-31, ISBN 0-8218-0840-0.
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[44] T. Kobayashi, Invariant measures on homogeneous manifolds of reductive type, J. Reine Angew. Math. 490 (1997), 37-53.
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[16] T. Kobayashi and K. Ono, Note on Hirzebruch's proportionality principle, Jour. Fac. Sci. Univ. Tokyo 37 (1990), no. 1, 71-87.
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Updated: 4 June 2023

© Toshiyuki Kobayashi