Ichirō Satake | Academic Influence

Ichirō Satake's AcademicInfluence.com Rankings

Ichirō Satake

Mathematics

#4345

World Rank

#6192

Historical Rank

Measure Theory

#1388

World Rank

#1740

Historical Rank

mathematics Degrees

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Mathematics

Ichirō Satake's Degrees

PhD Mathematics University of Tokyo

Why Is Ichirō Satake Influential?

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According to Wikipedia, was a Japanese mathematician working on algebraic groups who introduced the Satake isomorphism and Satake diagrams. He was considered an iconic figure in the theory of linear algebraic groups and symmetric spaces.

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Ichirō Satake's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The Gauss-Bonnet Theorem for V-manifolds (1957) (437)
Theory of spherical functions on reductive algebraic groups over p-adic fields (1963) (324)
ON A GENERALIZATION OF THE NOTION OF MANIFOLD. (1956) (261)
ON REPRESENTATIONS AND COMPACTIFICATIONS OF SYMMETRIC RIEMANNIAN SPACES (1960) (241)
Algebraic Structures of Symmetric Domains (2014) (204)
On Compactifications of the Quotient Spaces for Arithmetically Defined Discontinuous Groups (1960) (113)
Holomorphic Imbeddings of Symmetric Domains into a Siegel Space (1965) (108)
On Г-extensions of algebraic number fields: Bull. Amer. Math. Soc., 65 (1959), 183–226 (2001) (96)
Abelian varieties attached to polarized K3-surfaces (1967) (92)
Symplectic representations of algebraic groups satisfying a certain analyticity condition (1967) (62)
On Zℓ-extensions of algebraic number fields: Ann. of Math., (2) 98 (1973), 246–326 (2001) (47)
On some types of topological groups: Ann. of Math., (2) 50 (1949), 507–558 (2001) (46)
On solvable extensions of algebraic number fields: Ann. of Math., (2) 58 (1953), 548–572 (1953) (43)
On the μ-invariants of Zℓ-extensions: “Number Theory, Algebraic Geometry and Commutative Algebra, in honor of Yasuo Akizuki”, Kinokuniya, Tokyo, 1973, pp. 1–11 (2001) (39)
Clifford Algebras and Families of Abelian Varieties (1966) (36)
Fock Representations and Theta-functions (1971) (36)
THE FUNCTIONAL EQUATION OF ZETA DISTRIBUTIONS ASSOCIATED WITH FORMALLY REAL JORDAN ALGEBRAS (1984) (31)
Linear algebra (1975) (30)
Factors of automorphy and Fock representations (1971) (29)
On Spherical Functions over p-adic Fields (1962) (28)
On the arithmetic of tube domains (blowing-up of the point at infinity) (1973) (27)
On the theory of reductive algebraic groups over a perfect field (1963) (27)
Unitary representations of a semi-direct product of Lie groups on $$\bar \partial $$ -cohomology spaces (1971) (26)
A note on the group of units of an algebraic number field: J. Math. Pure and Appl., (9) 35 (1956), 189–192 (2001) (20)
Differential Scanning Calorimetry of Unfreezable Water in Water-Protein-Polyol Systems (1981) (20)
On classification of quasi-symmetric domains (1976) (16)
A NOTE ON HOLOMORPHIC IMBEDDINGS AND COMPACTIFICATION OF SYMMETRIC DOMAINS. (1968) (15)
On the representation of Lie algebras: Japanese J. Math., 19 (1948), 405–426 (2001) (14)
Special Values of Zeta Functions Associated with Self-Dual Homogeneous Cones (1981) (13)
ON SOME PROPERTIES OF HOLOMORPHIC IMBEDDINGS OF SYMMETRIC DOMAINS. (1969) (13)
Abelian varieties attached to polarizedK3-surfaces (1967) (12)
Binding of 4-pyridyl derivatives to horse-heart cytochrome c (1991) (11)
A class number formula for cyclotomic fields: Ann. of Math., (2) 76 (1962), 171–179 (1962) (10)
Linear Imbeddings of Self-Dual Homogeneous Cones (1972) (9)
Zeta Functions Associated to Cones and their Special Values (1989) (8)
A note on capitulation problem for number fields: Proc. Japan Acad., 65–2, Ser. A (1989), 59–61 (2001) (8)
On the rings of valuation vectors: Ann. of Math., (2) 57 (1953), 331–356 (1953) (7)
On some modules in the theory of cyclotomic fields: J. Math. Soc. Japan, 16 (1964), 42–82 (2001) (7)
A formula in simple Jordan algebras (1984) (7)
Physico-chemical studies on fraction 1 protein from alfalfa. (1978) (7)
Automorphic Forms and Number Theory (1987) (6)
Equivariant holomorphic embeddings of symmetric domains and applications (1997) (6)
On a certain invariant of the groups of type $E_{6}$ and $E_{7}$ (1968) (6)
Some remarks to the preceding paper of Tsukamoto (1961) (6)
An algebraic theory of Landau-Kolmogorov inequalities (1981) (6)
Zeta functions associated to cusps and their special values, Automorphic Forms and Geometry of Arithmetic Varieties (1989) (6)
Topological groups with invariant compact neighborhoods of the identity: Ann. of Math., (2) 54 (1951), 345–348 (1951) (5)
A letter to J. Dieudonné (2001) (4)
On a Theorem of E. Cartan. (1951) (4)
Some remarks on Hecke characters (2001) (4)
On Classification of Semisimple Algebraic Groups (2001) (4)
On a generalization of Hilbert's theory of ramification (1952) (4)
On Cartan subalgebras of a Lie algebra (1950) (4)
On cohomology groups of units for Z p -extensions: Amer. J. Math., 105 (1983), 189–200; “Geometry and Number Theory, A Volume in Honor of André Weil” (J.-P. Serre and G. Shimura eds.), The Johns Hopkins University Press, 1983, pp. 189–200 (2001) (3)
Some problems on cyclotomic fields and ℤ p -extensions (2001) (3)
Analogies between number fields and function fields: “Some Recent Advances in the Basic Sciences, Proc. Annual Sci. Conf.” (New York, 1965–1966), Vol. 2, Belfer Grad. School Sci., Yeshiva Univ., New York, 1969, pp. 203–208 (2001) (3)
A simple remark on Leopoldt’s conjecture (2001) (3)
On p-adic L-functions: Ann. of Math., (2) 89 (1969), 198–205 (2001) (2)
Some properties of (L)-groups (2001) (2)
On explicit formulas for the norm residue symbol: J. Math. Soc. Japan, 20 (1968), 151–165 (2001) (2)
On the Structure of Brauer Group of a Discretely-valued Complete Field (1951) (2)
Sers Studies on the Electrode Reaction of Cytochrome c at Silver Electrode in the Presence of Pyridine Derivatives (1988) (2)
Riemann-Hurwitz formula and p-adic Galois representations for number fields: Tôhoku Math. J., (2) 33 (1981), 263–288 (2001) (2)
Studies on Artificial Selective Dialysis Membrane for Alkali Metal Ion (1977) (2)
On some invariants of cyclotomic fields: Amer. J. Math., 80 (1958), 773–783. Erratum, ibid., 81 (1959), 280 (2001) (2)
Clover Leaf Protein Concentrate Decolourized by Ethanol Extraction (1984) (2)
On papers of Takagi in number theory: “Teiji Takagi Collected Papers”, Springer-Verlag Tokyo, 1990, Appendices, I, pp. 342–351 (2001) (2)
On the rational structures of symmetric domains, II. Determination of rational points of classical domains (1991) (1)
Compositional and Functional Characteristics of White Clover Leaf Protein Concentrates Prepared under Various Conditions (1985) (1)
On the theory of cyclotomic fields: Ann. of Math., (2) 70 (1959), 530–561 (1959) (1)
On p-adic representations associated with ℤ p -extensions (2001) (1)
A note on class numbers of algebraic number fields: Abh. Math. Sem. Univ. Hamburg, 20 (1956), 257–258 (2001) (1)
Birth of Superalgebra (2003) (1)
(with C. C. Sims) Computation of invariants in the theory of cyclotomic fields: J. Math. Soc. Japan, 18 (1966), 86–96 (2001) (1)
A note on ideal class groups: Nagoya Math J., 27 (1966), 239–247 (2001) (1)
Some modules in local cyclotomic fields (2001) (0)
On the structure of conditionally complete lattice-groups: Japanese J. Math., 18 (1943), 777–789 (2001) (0)
On integral representations of some finite groups (2001) (0)
Interneuron-Purkinje Cell Synapses of Inhibitory GABAergic Transmission at Cerebellar -Adrenergic Receptor-Mediated Presynaptic Facilitation β (2016) (0)
On the blowing-ups of Hilbert modular surfaces : Dedicated to Professor Y. Kawada on his 60th birthday (1977) (0)
Chapter IV. Equivariant Holomorphic Maps of a Symmetric Domain into a Siegel Space (1981) (0)
A note on Kummer extensions (2001) (0)
Corrections to My Paper “Clifford Algebras and Families of Abelian Varieties”, Nagoya Math. J. 27 (1966), 435–446 (1968) (0)
ON Q-STRUCTURES OF QUASISYMMETRIC DOMAINS (1995) (0)
On Galois groups of local fields: Trans. Amer. Math. Soc., 80 (1955), 448–469 (2001) (0)
\(\bar \partial \)-Cohomology spaces associated with a certain group extension (1971) (0)
Corrections to: ``Clifford algebras and families of abelian varieties'' (1968) (0)
A note on unitary representations (2001) (0)
ADDENDUM: ON Q-STRUCTURES OF QUASISYMMETRIC DOMAINS (1995) (0)
Kenkichi Iwasawa Collected Papers (2001) (0)
On group rings of topological groups: Proc. Imp. Acad. Japan, 20–2 (1944), 67–70 (2001) (0)
On non-arithmetic discontinuous groups (Construction of Automorphic Forms and Its Applications) (2004) (0)
Hilbert’s fifth problem: Sûgaku, 1–3 (11/1948), 161–171 (2001) (0)
Effect of Succinylation on the Functional Properties of Clover White Leaf Protein Concentrate (1985) (0)
On linearly ordered groups: J. Math. Soc. Japan, 1–9 (1948), 1–9 (2001) (0)
On modular imbeddings of a symmetric domain of type (IV) (2015) (0)
Erratum to: On some invariants of cyclotomic fields (2001) (0)
Skew-symmetric forms for number fields (2001) (0)
On Special Values of Zeta Functions Associated with a Self-Dual Cone (P-Adic L-Functions and Algebraic Number Theory) (1981) (0)
Chapter III. Unbounded Realizations of Symmetric Domains. (Theory of Wolf -Korányi) (1981) (0)
Corrections to my paper: "Linear imbeddings of self-dual homogeneous cones'' (1976) (0)
On almost periodic functions: Isô Sûgaku, 4–2 (10/1942), 56–60 (2001) (0)
Instructions to the Reader (1981) (0)
(with T. Tamagawa) On the group of automorphisms of a function field: J. Math. Soc. Japan, 3 (1951), 137–147. Corrections, ibid., 4 (1952), 100–101, 203–204 (2001) (0)
(with T. Tamagawa) Automorphisms of a function field: Sûgaku, 1–4 (1/1949), 315–316 (2001) (0)
Galois groups acting on the multiplicative groups of local fields: “Proc. Int. Sympos. on Algebraic Number Theory” (Tokyo and Nikko, 1955), Science Council of Japan, Tokyo, 1956, pp. 63–64 (2001) (0)
On cohomology groups of ℤ p -extensions (2001) (0)
Finite groups and compact groups (2001) (0)
On some properties of Γ-finite modules: Ann. of Math., (2) 70 (1959), 291–312 (1959) (0)
Appendix: Classical Domains (1981) (0)
On the μ-invariants of cyclotomic fields: Acta Arith., 21 (1972), 99–101 (2001) (0)
Preface to the Present Volume (1985) (0)
On a certain analogy between algebraic number fields and function fields: Sûgaku, 15-2 (10/1963), 65–67 (2001) (0)
List of Symbols (1981) (0)
Chapter V. Infinitesimal Automorphisms of Symmetric Siegel Domains (1981) (0)
Corrections to my paper “linear imbeddings of self-dual cones” (Nagoya Math. J. Vol. 46 (1972), 121–145) (1976) (0)
Some problems on cyclotomic fields (2001) (0)
Chapter II. Basic Concepts on Symmetric Domains (1981) (0)
A note on capitulation problem for number fields. II: Proc. Japan Acad., 65–6, Ser. A (1989), 183–186 (2001) (0)
Sheaves for algebraic number fields: Ann. of Math., (2) 69 (1959), 408–413 (1959) (0)
Chapter I. Algebraic Preliminaries (1981) (0)
On local cyclotomic fields: J. Math. Soc. Japan, 12 (1960), 16–21 (2001) (0)
On Q-structures of quasi-symmetric domains(Algebraic Number Theory : Recent Developments and Their Backgrounds) (1993) (0)
On the structure of infinite M-groups (2001) (0)
On some infinite Abelian extensions of algebraic number fields: “Actes du Congrés Int. Math.” (Nice, 1970), Tome 1, Gauthier-Villars, Paris, 1971, pp. 391–394 (2001) (0)
A note on L-functions (2001) (0)
Some results in the theory of cyclotomic fields: Proc. Sympos. Pure Math., Vol. VIII, Amer. Math. Soc, 1965, pp. 66–69 (2001) (0)
A note on Jacobi sums: “Convegno di Strutture in Corpi Algebrici” (Rome, 1973), INDAM, Symposia Mathematica, Vol. XV, Academic Press, London, 1975, pp. 447–459 (2001) (0)
Automorphisms of Galois groups over number fields (2001) (0)

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