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Relationship between orbit decompositions on flag varieties and multiplicities of induced representations

田内, 大渡 東京大学 DOI:10.15083/0002003724

2022.04.20

概要

Let Q be a parabolic subgroup of a real reductive Lie group G and H a closed subgroup of G. The aim of this thesis is to study the relationship between the orbit decompositions on flag varieties G/Q with respect to H-action and the behavior of the multiplicities of the induced representations of G from Q-representations in the regular representations on G/H.

参考文献

[1] A. Aizenbud, D. Gourevitch, A. Minchenko, Holonomicity of relative characters and ap- plications to multiplicity bounds for spherical pairs, Selecta Math. (N.S.) 22 (2016), no. 4, 2325–2345.

[2] F. Bien, Orbit, multiplicities, and differential operators, Contemp. Math. 145 (1993), Amer. Math. Soc. 199–227.

[3] M. Brion, Quelques propri´et´es des espaces homog`enes sph´eriques, Manuscripta Math. 55(1986), no. 2, 191–198.

[4] Harish-Chandra, Representations of semisimple Lie groups. II, Trans. Amer. Math. Soc.76 (1954), 26–65.

[5] B. Kimelfeld, Homogeneous domains in flag manifolds of rank 1, J. Math. Anal. Appl. 121(1987), 506–588.

[6] T. Kobayashi, Introduction to harmonic analysis on real spherical homogeneous spaces, Proceedings of the 3rd Summer School on Number Theory “Homogeneous Spaces and Automorphic Forms” in Nagano (F. Sato, ed.), 1995, 22–41 (in Japanese).

[7] T. Kobayashi, Shintani functions, real spherical manifolds, and symmetry breaking oper- ators, Developments in Mathematics 37 (2014), 127–159.

[8] T. Kobayashi, T. Matsuki, Classification of finite-multiplicity symmetric pairs, Transfor- mation Groups, 19 (2014), 457–493. Special Issue in honour of Professor Dynkin for his 90th birthday.

[9] T. Kobayashi, T. Oshima, Finite multiplicity theorems for induction and restriction, Adv. Math. 248 (2013), 921–944.

[10] T. Kobayashi, M. Pevzner, Differential symmetry breaking operators: I. General theory and F-method, Selecta Math. (N.S.) 22 (2016), no. 2, 801–845.

[11] T. Kobayashi, B. Speh, Symmetry Breaking for Representations of Rank One Orthogonal Groups, Mem. Amer. Math. Soc. 238 (2015), 118 pp.

[12] T. Kobayashi, B. Speh, Symmetry breaking for representations of rank one orthogonal groups II, Lecture Notes in Mathematics, 2234. Springer, Singapore, 2018. xv+342 pp.

[13] T. Matsuki, Orbits on flag manifolds, Proceedings of the International Congress of Math- ematicians, Kyoto 1990, Vol. II (1991), Springer-Verlag, 807–813.

[14] E`. B. Vinberg, Complexity of action of reductive groups, Func. Anal. Appl. 20 (1986),1–11.

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