Takayuki Okuda

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All published works

Action	Title	Year	Authors
+	The Mathematical Work of Toshiyuki Kobayashi	2025	William M. Goldman Kazuki Kannaka Toshihisa Kubo Takayuki Okuda Yôichi Ôshima Michael Pevzner Akinobu Sasaki Hirofumi Sekiguchi
+	A Proof of Kobayashi’s Properness Criterion from a Viewpoint of Metric Geometry	2024	Kento Ogawa Takayuki Okuda
+	Zariski-Dense Discontinuous Surface Groups for Reductive Symmetric Spaces	2024	Kazuki Kannaka Takayuki Okuda Koichi Tojo
+ PDF Chat	Some remarks on real minimal nilpotent orbits and symmetric pairs	2024	Takayuki Okuda
+ PDF Chat	Approximation of integration over finite groups, difference sets and association schemes	2023	Hiroki Kajiura Makoto Matsumoto Takayuki Okuda
+	A proof of Kobayashi's properness criterion from a viewpoint of metric geometry	2023	Kento Ogawa Takayuki Okuda
+	Zariski dense discontinuous surface groups for reductive symmetric spaces	2023	Kazuki Kannaka Takayuki Okuda Koichi Tojo
+ PDF Chat	Explicit construction of exact unitary designs	2022	Eiichi Bannaĭ Yoshifumi Nakata Takayuki Okuda Zhao Da
+ PDF Chat	On the spectrum and linear programming bound for hypergraphs	2022	Sebastian M. Cioabă Jack H. Koolen Masato Mimura Hiroshi Nozaki Takayuki Okuda
+ PDF Chat	A commutativity condition for subsets in quandles — a generalization of antipodal subsets	2022	Akira KUBO Mika Nagashiki Takayuki Okuda Hiroshi Tamaru
+	Functoriality of Bose-Mesner algebras and profinite association schemes	2022	Makoto Matsumoto Kento Ogawa Takayuki Okuda
+ PDF Chat	Quantum Circuits for Exact Unitary <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"><mml:mi>t</mml:mi></mml:math> -Designs and Applications to Higher-Order Randomized Benchmarking	2021	Yoshifumi Nakata Zhao Da Takayuki Okuda Eiichi Bannaĭ Yasunari Suzuki Shiro Tamiya Kentaro Heya Zhiguang Yan Kun Zuo Shuhei Tamate
+	Degenerating families with finite monodromy groups	2021	Takayuki Okuda
+	Great antipodal sets on complex Grassmannian manifolds as designs with the smallest cardinalities	2020	Hirotake Kurihara Takayuki Okuda
+	Explicit construction of exact unitary designs	2020	Eiichi Bannaĭ Yoshifumi Nakata Takayuki Okuda Da Peng Zhao
+ PDF Chat	Singular fibers in barking families of degenerations of elliptic curves	2019	Takayuki Okuda
+	Approximation of integration over finite groups, difference sets and association schemes	2019	Hiroki Kajiura Makoto Matsumoto Takayuki Okuda
+	GEODESICS OF RIEMANNIAN SYMMETRIC SPACES INCLUDED IN REFLECTIVE SUBMANIFOLDS	2017	Takayuki Okuda
+	Cubature formulas for great antipodal sets on complex Grassmann manifolds (Combinatorics of Lie Type)	2017	Takayuki Okuda
+	Proper $\mathcal{S}L(2,\mathds{R})$ -actions on homogeneous spaces	2017	Maciej Bocheński Aleksy Tralle Takayuki Okuda Piotr Jastrzȩbski
+ PDF Chat	Proper SL(2, ℝ)-actions on homogeneous spaces	2016	Maciej Bocheński Piotr Jastrzȩbski Takayuki Okuda Aleksy Tralle
+	Some remarks on cubature formulas with linear operators	2016	Masatake Hirao Takayuki Okuda Masanori Sawa
+	Global degenerating families with periodic monodromies (Theory of singularities of smooth mappings and around it)	2016	Takayuki Okuda
+	Homogeneous space with non-virtually abelian discontinuous groups but without any proper SL(2, ℝ)-action	2016	Takayuki Okuda
+	Abundance of nilpotent orbits in real semisimple Lie algebras	2016	Takayuki Okuda
+	A new relative bound for equiangular lines and nonexistence of tight spherical designs of harmonic index <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si13.gif" display="inline" overflow="scroll"><mml:mn>4</mml:mn></mml:math>	2015	Takayuki Okuda Wei-Hsuan Yu
+	Homogeneous space with non virtually abelian discontinuous groups but without any proper SL(2,R)-action	2015	Takayuki Okuda
+	Relation between spherical designs through a Hopf map	2015	Takayuki Okuda
+	Spherical designs of harmonic index <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>t</mml:mi></mml:math>	2014	Eiichi Bannaĭ Takayuki Okuda Makoto Tagami
+	RELATION AMONG DESIGNS ON COMPACT HOMOGENEOUS SPACES (Designs, Codes, Graphs and Related Areas)	2014	Takayuki Okuda
+	Smallest complex nilpotent orbits with real points	2014	Takayuki Okuda
+	Nonexistence of tight spherical design of harmonic index 4	2014	Takayuki Okuda Wei-Hsuan Yu
+	Tight maps and holomorphicity, exceptional spaces	2014	Oskar Hamlet Takayuki Okuda
+ PDF Chat	Classification of Semisimple Symmetric Spaces with Proper-Actions	2013	Takayuki Okuda
+	Great antipodal sets of complex Grassmannian manifolds as designs with the smallest cardinalities	2013	Hirotake Kurihara Takayuki Okuda
+	Spherical designs of harmonic index t	2013	Eiichi Bannaĭ Takayuki Okuda Makoto Tagami
+	Classification of semisimple symmetric spaces with proper SL(2,R)-actions	2012	Takayuki Okuda
+	Singular fibers in barking families of degenerations of elliptic curves	2012	Takayuki Okuda
+ PDF Chat	Proper actions of $SL(2,\mathbf{R})$ on semisimple symmetric spaces	2011	Takayuki Okuda
+	Proper actions of SL(2,R) on semisimple symmetric spaces	2011	Takayuki Okuda
+	Proper actions of $SL(2, \mathbb{R})$ on semisimple symmetric spaces (Homogeneous spaces and non-commutative harmonic analysis)	2010	Takayuki Okuda

Common Coauthors

Coauthor	Papers Together
Eiichi Bannaĭ	5
Kento Ogawa	3
Kazuki Kannaka	3
Maciej Bocheński	2
Koichi Tojo	2
Zhao Da	2
Piotr Jastrzȩbski	2
Hiroki Kajiura	2
Makoto Matsumoto	2
Hirotake Kurihara	2
Yoshifumi Nakata	2
Wei-Hsuan Yu	2
Aleksy Tralle	2
Makoto Tagami	2
Shiro Tamiya	1
Zhiguang Yan	1
Hiroshi Tamaru	1
Kun Zuo	1
Mika Nagashiki	1
William M. Goldman	1
Toshihisa Kubo	1
Oskar Hamlet	1
Yasunari Suzuki	1
Masato Mimura	1
Da Peng Zhao	1
Yoshifumi Nakata	1
Akinobu Sasaki	1
Michael Pevzner	1
Sebastian M. Cioabă	1
Masanori Sawa	1
Hiroshi Nozaki	1
Yasunobu Nakamura	1
Masatake Hirao	1
Yôichi Ôshima	1
Makoto Matsumoto	1
Yutaka Tabuchi	1
Akira KUBO	1
Jack H. Koolen	1
Hirofumi Sekiguchi	1
Kentaro Heya	1
Shuhei Tamate	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Proper action on a homogeneous space of reductive type	1989	Toshiyuki Kobayashi	9
+	Spherical codes and designs	1977	P. Delsarte J.-M. Goethals J.J. Seidel	8
+	Relativistic Space Forms	1962	Eugenio Calabi Lawrence Markus	7
+	A survey on spherical designs and algebraic combinatorics on spheres	2009	Eiichi Bannaĭ Etsuko Bannai	7
+	The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group	2009	Bertram Kostant	7
+ PDF Chat	Deformation of proper actions on reductive homogeneous spaces	2011	Fanny Kassel	6
+ PDF Chat	On discontinuous groups acting on homogeneous spaces with non-compact isotropy subgroups	1993	Toshiyuki Kobayashi	6
+ PDF Chat	Classification of Semisimple Symmetric Spaces with Proper-Actions	2013	Takayuki Okuda	5
+ PDF Chat	Compact Clifford-Klein forms of symmetric spaces - revisited	2005	Toshiyuki Kobayashi Taro Yoshino	5
+	Actions Propres sur les Espaces Homogenes Reductifs	1996	Yves Benoist	5
+	Classes of unipotent elements in simple algebraic groups. I	1976	Pawan Bala R. W. Carter	4
+	Averaging sets: A generalization of mean values and spherical designs	1984	Paul Seymour Thomas Zasĺavsky	4
+	Discontinuous Groups for Non-Riemannian Homogeneous Spaces	2001	Toshiyuki Kobayashi	4
+ PDF Chat	The Nilpotent Subvariety of the Vector Space Associated to a Symmetric Pair	1984	Jiro Sekiguchi	4
+ PDF Chat	Optimal asymptotic bounds for spherical designs	2013	Andriy Bondarenko Danylo Radchenko Maryna Viazovska	4
+	On Representations and Compactifications of Symmetric Riemannian Spaces	1960	Ichirō Satake	4
+ PDF Chat	Remarks on real nilpotent orbits of a symmetric pair	1987	Jiro Sekiguchi	4
+ PDF Chat	Bounds for codes and designs in complex subspaces	2009	Aidan Roy	4
+	A necessary condition for the existence of compact Clifford-Klein forms of homogeneous spaces of reductive type	1992	Toshiyuki Kobayashi	4
+	Differential Geometry, Lie Groups, and Symmetric Spaces	2001	Sigurđur Helgason	4
+ PDF Chat	A Riemannian geometric invariant and its applications to a problem of Borel and Serre	1988	Bang‐Yen Chen Tadashi Nagano	3
+	Codes and designs in Grassmannian spaces	2003	Christine Bachoc Eiichi Bannaĭ Renaud Coulangeon	3
+	Discontinuous Groups and Clifford—Klein Forms of Pseudo-Riemannian Homogeneous Manifolds	1997	Toshiyuki Kobayashi	3
+	The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group	1959	Bertram Kostant	3
+ PDF Chat	Unitary 2-designs from random <i>X</i>- and <i>Z</i>-diagonal unitaries	2017	Yoshifumi Nakata Christoph Hirche Ciara Morgan Andreas Winter	3
+ PDF Chat	On the non-existence of cocompact lattices for $SL(n)/SL(m)$	1995	François Labourie Robert J. Zimmer	3
+ PDF Chat	Existence of compact quotients of homogeneous spaces, measurably proper actions, and decay of matrix coefficients	1997	G. A. Margulis	3
+ PDF Chat	Unitary designs and codes	2009	Aidan Roy A.J. Scott	3
+ PDF Chat	Two-number of symmetric <i>R</i>-spaces	1989	Masaru Takeuchi	3
+	Poincaré series for non-Riemannian locally symmetric spaces	2015	Fanny Kassel Toshiyuki Kobayashi	3
+ PDF Chat	Proper actions of $SL(2,\mathbf{C})$ on irreducible complex symmetric spaces	2008	Katsuki Teduka	3
+ PDF Chat	Discrete groups and non-Riemannian homogeneous spaces	1994	Robert J. Zimmer	3
+	Spectra of Graphs	2011	Andries E. Brouwer Willem H. Haemers	3
+ PDF Chat	None	2002	Christine Bachoc Renaud Coulangeon Gabriele Nebe	3
+	On Two-Distance Sets in Euclidean Space	1977	D Larman C. Rogers J.J. Seidel	2
+ PDF Chat	CLASSIFICATION OF ASSOCIATION SCHEMES WITH 16 AND 17 VERTICES	1998	Akihide Hanaki Izumi Miyamoto	2
+	On discontinuous group actions on non-Riemannian homogeneous spaces	2006	Toshiyuki Kobayashi	2
+	Antipodal sets of symmetric $R$-spaces	2013	Makiko Tanaka Hiroyuki Tasaki	2
+ PDF Chat	On tight projective designs	2008	Yu. I. Lyubich	2
+	Tight t-Designs and Squarefree Integers	1989	Eiichi Bannaĭ S. G. Hoggar	2
+ PDF Chat	Duality for digital nets and its applications	2001	Harald Niederreiter Gottlieb Pirsic	2
+	The intersection of two real forms in Hermitian symmetric spaces of compact type II	2015	Makiko Tanaka Hiroyuki Tasaki	2
+ PDF Chat	Association Schemes for Ordered Orthogonal Arrays and (<i>T, M, S</i>)-Nets	1999	William J. Martin Douglas R. Stinson	2
+ PDF Chat	New Bounds for Spherical Two-Distance Sets	2013	Alexander Barg Wei-Hsuan Yu	2
+	Proper actions and pseudo—Riemannian space forms	1981	Ravi S. Kulkarni	2
+	On averaging sets	1991	Gerold Wagner Bodo Volkmann	2
+	Distances, Graphs and Designs	1980	Arnold Neumaier	2
+ PDF Chat	Surface group representations with maximal Toledo invariant	2010	Marc Burger Alessandra Iozzi Anna Wienhard	2
+	High-dimensional integration: The quasi-Monte Carlo way	2013	Josef Dick Frances Y. Kuo Ian H. Sloan	2
+ PDF Chat	The fundamental group of a compact flat Lorentz space form is virtually polycyclic	1984	William M. Goldman Yoshinobu Kamishima	2