Faculty Information

Specialization and related fields

Business career

Belonging society

Official position and committee in Univ.

Research topic, funded research, and department laboratory expense

Book and thesis

Lecturer and lecture

Academic conference presentation

（Last updated : 2024-04-23 13:08:18）

NISHIYAMA Kyo
Department Aoyama Gakuin University Department of Mathematical Sciences, College of Science and Engineering

Position Professor

■ Specialization and related fields

Basic mathematics, Algebra, Basic analysis, Geometry

■ Business career

1.	1986/04～1990/03	Tokyo Denki University Department of Mathematics, Faculty of Engineering and Sciences
2.	1990/04～1992/09	Kyoto University Liberal Arts
3.	1992/10～2003/03	Kyoto University Faculty of Integrated Human Studies
4.	2003/04～2007/03	Kyoto University Department of Mathematics, Faculty of Science
5.	2007/04～2009/03	Kyoto University Department of Mathematics, Faculty of Science
6.	2009/04～2021/03	Aoyama Gakuin University College of Science and Engineering Department of Physics and Mathematics Professor
7.	2021/04～	Aoyama Gakuin University College of Science and Engineering Department of Mathematical Sciences Professor
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■ Belonging society

1.	1982/04～	Mathematical Society of Japan
2.	1990/08～	American Mathematical Society

■ Official position and committee in Univ.

1.	2015/04/01～2017/03/31	Aoyama Gakuin University Curriculum Coordinator
2.	2023/04/01～2025/03/31	Aoyama Gakuin University Curriculum Coordinator

■ Research topic, funded research, and department laboratory expense

1.	2006/04～2010/03	Homogeneous spaces and unitary representations － a modern overview from duality (Key Word : )
2.	2009/04～2014/03	Orbits on flag varieties and moment maps (Key Word : )
3.	2013/04～2016/03	Geometry on Homogeneous Spaces and Tropical Varieties (Key Word : )
4.	2016/04～2021/03	Multiple flag varieties and exotic nilpotent varieties (Key Word : )
5.	2021/04～2026/03	Orbits on flag varieties and their combinatorics (Key Word : )

■ Book and thesis

1.	Book	Algebraic Groups and Orbits (Collaboration) 2015/09
2.	Book	Primer for Projective Geometry (Single) 2013/11
3.	Book	A primer of Elementary Geometry (Single) 2004/02
4.	Book	L'estro Armonico －study of harmonic polynomials (Single) 1999/03
5.	Article	Action of Hecke algebra on the double flag variety of type AIII Advances in Applied Mathematics 153 (Collaboration) 2024/02
6.	Article	On generalized Steinberg theory for type AIII Algebraic Combinatorics 6(1),pp.165-195 (Collaboration) 2023/02
7.	Article	A Generalization of Steinberg Theory and an Exotic Moment Map. International Mathematics Research Notices rnaa080 (Collaboration) 2022/01
8.	Article	Orbit embedding for double flag varieties and Steinberg maps Lie Groups, Number Theory, and Vertex Algebras 768,pp.21-42 (Collaboration) 2021
9.	Article	Enhanced adjoint actions and their orbits for the general linear group. Pacific Journal of Mathematics 298,pp.141-155 (Collaboration) 2019
10.	Article	Enhanced zeta distributions and its functional equations. Journal of Physics: Conf. Series 1194 (Collaboration) 2019
11.	Article	Real double flag varieties for the symplectic group J. Funct. Anal. 274(2),pp.573-504 (Collaboration) 2018
12.	Article	Codimension one connectedness of the graph of associated varieties Tohoku Math. J. 68(2),pp.199-239 (Collaboration) 2016
13.	Article	On the exotic Grassmannian and its nilpotent variety Represent. Theory 20,pp.451-481 (Collaboration) 2016
14.	Article	Enhanced Orbit Embedding pp.223-232 (Single) 2014/12
15.	Article	On orbits in double flag varieties for symmetric pairs Transform. Groups 18(4),pp.1091-1136 (Collaboration) 2013
16.	Article	Regular orbits of symmetric subgroup on partial flag varietes Birkhausre Boston 2012,pp.61--86 (Collaboration) 2012
17.	Article	Asmpotic cone of semisimple orbits for symmetric pairs Adv.Math 226,pp.4338-4351 (Single) 2011
18.	Article	Double Flag Varieties for a Symmetric Pair and Finiteness of Orbits Jounal of Lie Theory pp.79--99 (Collaboration) 2011
19.	Article	A studey of asymptotic cones and degenerate principal series RIMS pp.1--20 (Single) 2010
20.	Article	Resolution of null fiber and conormal bundles on the Lagragian Grassmannian Geometriae Dedicata pp.19--35 (Single) 2009
21.	Article	Intersection of harmonics and Capelli identities for symmetric pairs J. Math. Soc. Japan pp.955--982 (Collaboration) 2008/12
22.	Article	A　note on the Capelli identities for symmetric pairs of Hermitian type. Infinite Dimensional Harmonic Analysis 4,pp.223--254 (Collaboration) 2007/09
23.	Article	Theta lifting of nilpotent orbits for symmetric pairs Trans. Amer. Math. Soc. pp.2713--2734 (Collaboration) 2006
24.	Article	A note on affine quotients and equivariant double fibrations World Sci. Publ., Hackensack, NJ pp.197--212 (Single) 2005
25.	Article	Classification of spherical nilpotent orbits for {\rm U}(p,p) J. Math. Kyoto Univ. pp.203--215 (Single) 2004
26.	Article	Theta lifting of unitary lowest weight modules and their associated cycles Duke Math. J. pp.415--465 (Collaboration) 2004
27.	Article	A Generator of H¹(M¹_g; H¹(σ_g; Z)) and a Reflection Representation of the Mapping Class Groups via Iwahori-Hecke Algebras. Progress of Theoretical Physics Supplement pp.141-144 (Collaboration) 2002
28.	Article	Bernstein degree and associated cycles of Harish-Chandra modules -Hermitian symmetric case- Ast'erisque pp.13-80 (Collaboration) 2001
29.	Article	Theta lifting of holomorphic discrete series: the case of U(p,q) x U(n, n). Trans. AMS pp.3327-3345 (Collaboration) 2001
30.	Article	Invariants for Representations of Weyl Groups, Two-sided Cells, and Modular Representations of Iwahori-Hecke Algebras. Adv. Studies in Pure Math. pp.103-112 (Collaboration) 2000
31.	Article	Kawanaka invariants for representations of Weyl groups J. Alg. pp.842-871 (Collaboration) 2000
32.	Article	Multiplicity-free actions and the geometry of nilpotent orbits Math.Ann. pp.777-793 (Single) 2000
33.	Article	Bernstein degree of singular unitary highest weight representations of the metaplectic group Proc. Japan Acad. pp.9-11 (Collaboration) 1999
34.	Article	Dipolarizations in semisimple Lie algebras and homogeneous parakahler manifolds. Journal of Lie Theory pp.215-232 (Collaboration) 1999
35.	Article	Invariants for representaions of Weyl groups and two-sided cells. J. Math. Soc. Japan pp.1-34 (Collaboration) 1999
36.	Article	Schur duality for Cartan type Lie algebra Wn. Journal of Lie Theory pp.234-248 (Single) 1999
37.	Article	Theta lifting of two-step nilpotent orbits for the pair O(p, q) × Sp(2n, \R) . In H. Heyer, T. Hirai and N. Obata (eds.), "Infinite Dimensional Harmonic Analysis" Transactions of a Japanese-German Symposium held from September 20th to 24th, 1999 at Kyoto University pp.278-289 (Single) 1999
38.	Article	Commutant algebra and harmonic polynomials of the Lie algebra of vector fields. J. Alg. pp.545-559. (Single) 1996
39.	Article	Commutant algebra of Cartan-type Lie superalgebra W(n). J. Math. Kyoto Univ. pp.129-142 (Collaboration) 1996
40.	Article	Commutant algebra of superderivations on a Grassmann algebra Proc. Japan Acad. pp.8-11 (Collaboration) 1996
41.	Article	Super dual pairs and highest weight modules of orthosymplectic algebras Adv. in Math. pp.66-89 (Single) 1994
42.	Article	Book Review pp.183-185 (Single) 1992
43.	Article	Distribution characters of a semisimple Lie group and representations of Weyl groups and their Hecke algebras Sugaku Expositions (English translation of "sugaku") pp.15-33 (Single) 1992
44.	Article	Realization of irreducible unitary representations of {\frak osp}(M/N; {\Bbb R}) on Fock spaces. in Proceedings of Fuji-Kawaguchiko Conference on Representation Theory of Lie Groups and Lie Algebras, edited by T. ~Kawazoe et. al World Scientific pp.1-21 (Collaboration) 1992
45.	Article	Characters and super-characters of discrete series representations for orthosymplectic Lie superalgebras J. Alg pp.399-419 (Single) 1991
46.	Article	Classification of irreducible super unitary representations of su(p,q/n) . Comm. in Math. Phys. pp.475-502 (Collaboration) 1991
47.	Article	Decomposing oscillator representations of {\frak osp}(2n/n; {\Bbb R}) by a super dual pair {\frak osp}(2/1; { \Bbb R}) × {\frak so}(n) Comp. Math pp.137-149 (Single) 1991
48.	Article	Oscillator representations for orthosymplectic algebras J. Alg pp.231-262 (Single) 1990
49.	Article	Algebraic structures on virtual characters of a semisimple Lie group Adv. Studies in Pure Math pp.417-468 (Single) 1988
50.	Article	Generators and relations for a certain Hecke algebra Research Activities,Faculty Sci. Engineering, Tokyo Denki Univ pp.9-14 (Single) 1987
51.	Article	Representations of Weyl groups and their Hecke algebras on virtual character modules of a semisimple Lie group (Thesis) J. Math. Kyoto Univ pp.151-181 (Single) 1987
52.	Article	Open problems on character polynomials and Gelfand-Kirillov dimensions of virtual characters. In Open problems in representation theory of Lie groups,Proceedings of the conference on "Analysis on homogeneous spaces" held at Katata (Single) 1986
53.	Article	Representations of Hecke algebras on virtual character modules of a semisimple Lie group Proc. Japan Acad pp.159-162 (Single) 1986
54.	Article	Virtual characters and constant coefficient invariant eigendistributions on a semisimple Lie group Japan. J. Math., New Series pp.75-94 (Single) 1986
55.	Article	Decompositions of tensor products of infinite and finite dimensional representations of semisimple groups J. Math. Kyoto Univ pp.1-20 (Single) 1985
56.	Article	Virtual character modules of semisimple Lie groups and representations of Weyl groups J. Math. Soc. Japan pp.719-740 (Single) 1985
57.	Article	Virtual characters and constant coefficient invariant eigendistributions on a semisimple Lie group Proc. Japan Acad pp.168-171 (Single) 1985
58.	Article	Representations of Weyl group and its subgroups on the virtual character modules Proc. Japan Acad pp.193-196 (Single) 1984
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■ Lecturer and lecture

1.	2023/06/20	Quiver representations and double flag varieties (IUC, クロアチア，ドブロブニク)
2.	2022/10/07	Hecke module structure on the orbits in double flag varieties (IUC, クロアチア，ドブロブニク)
3.	2022/07/07	Hecke algebra actions on a double flag variety (シンガポール)
4.	2021/09	Hecke algebra representations on orbits of a double flag variety
5.	2019/10/16	Robinson-Schensted Correspondence for Symmetric Pairs of Hermitian Tube Type (Research Center for Mathematics and Interdisciplinary Sciences, Shandong University, Qingdao China)
6.	2019/06/25	Steinberg theory for symmetric pairs (Inter-University Centre, Dubrovnik, Croatia)
7.	2019/01/15	Robinson-Schensted Correspondence and Flag Varieties (Max Planck Institute Informatik)
8.	2018/12/18	Fourier transform of zeta integrals over enhanced positive cone (TSIMF Tsinghua Sanya International Mathematics Forum, Sanya, China)
9.	2018/07/11	Fourier transform of the Riesz distribution on enhanced symmetric cone (Czech Technical University in Prague, Czech Republic)
10.	2018/06/18	Functional equation of an enhanced zeta distribution (Department of Mathematics, Faculty of Science Room 201, Zagreb Univ.)
11.	2017/06/22	Integral kernel operators for degenerate principal series (IUC, Dubrovnik, Croati)
12.	2017/06/07	Integral kernel operators on tube domain associated with relative invariants (Chern Institute of Mathematics, Nankai University)
13.	2016/12/05	Intertwiners Between Degenerate Principal Series Arising From a Double Flag Variety (Tsinghua Sanya International Mathematics Forum (TSIMF), Sanya, Hainan, China)
14.	2016/08/24	Intertwiners associated to a double flag variety over reals (Aarhus University)
15.	2016/03/18	Conormal variety on exotic Grassmannian (IMS, NUS, Singapore)
16.	2015/12/11	Exotic Grassmannian and its nilpotent variety (Tian He Hotel, Chongmin Island, Shanghai, China)
17.	2015/06/26	Orbit embedding for enhanced Lie algebra (IUC, Dubrovnik, Croatia)
18.	2014/12/09	Double flag variety and its nilpotent con (Tongji University, Shanghai, China)
19.	2014/06/06	Exotic nilpotent cone for mirabolic double flag variety (Chern Institute of Mathematics, Nankai University)
20.	2014/01/23	Conormal variety over double flag varieties and exotic nilpotent cone (Mathematisches Forschungsinstitut Oberwolfach)
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■ Academic conference presentation

1.	2024/03/08	Real double flag varieties and Lagrangian-Grassmann variety of Hermitian type (Representation Theory and Related Topics: homaloidal maps and Clifford theory)
2.	2017/10/12	Enhanced adjoint action and its quotients
3.	2016/12/01	Degenerate principal series arising from double flag varieties of a Hermitian symmetric pair
4.	2015/07/01	Double flag variety over reals: Hermitian symmetric case (Analytic Representation Theory of Lie Groups)
5.	2014/09/02	Robinson-Schensted-type correspondence over mirabolic double flag variety (Prehomogeneous Vector Spaces and Related Topics)
6.	2011/11/08	Spherical group actions and double flag varieties for a symmetric pai
7.	2010/11/10	Double flag varieties of finite type for a symmetric pair
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