Gerhard Hochschild

Gerhard Hochschild's AcademicInfluence.com Rankings

Gerhard Hochschild

Mathematics

#402

World Rank

#813

Historical Rank

#183

USA Rank

Measure Theory

#622

World Rank

#855

Historical Rank

#252

USA Rank

mathematics Degrees

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Mathematics

Why Is Gerhard Hochschild Influential?

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According to Wikipedia, Gerhard Paul Hochschild was a German-born American mathematician who worked on Lie groups, algebraic groups, homological algebra and algebraic number theory. Early life On April 29, 1915, Hochschild was born to a middle-class Jewish family in Berlin, Germany, the son of Lilli and Heinrich Hochschild. Hochschild had an older brother. His father was a patent attorney who had an engineering degree. After the rise of the National Socialist German Workers' Party in 1933, his father sent him to South Africa where he was able to enroll in school with funding from the Hochschild Family Foundation established by Berthold Hochschild, a cousin of his grandfather.

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Gerhard Hochschild'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 Structure of Lie Groups. (1967) (784)
On the cohomology groups of an associative algebra (1945) (575)
Differential Forms on Regular Affine Algebras (1962) (445)
Basic Theory of Algebraic Groups and Lie Algebras (1981) (276)
Cohomology of group extensions (1953) (257)
Cohomology of Lie Algebras (1953) (244)
Relative homological algebra (1956) (128)
Representations and Representative Functions of Lie Groups, III (1957) (115)
Cohomology and representations of associative algebras (1947) (114)
REPRESENTATIONS OF RESTRICTED LIE ALGEBRAS OF CHARACTERISTIC p (1954) (107)
Cohomology of Restricted Lie Algebras (1954) (90)
Extensions of representations of algebraic linear groups (1963) (71)
Cohomology of algebraic linear groups (1961) (67)
Simple algebras with purely inseparable splitting fields of exponent 1 (1955) (63)
Semi-Simple Algebras and Generalized Derivations (1942) (54)
Introduction to Affine Algebraic Groups (1971) (53)
On the Cohomology Theory for Associative Algebras (1946) (51)
Group extensions of Lie groups II (1951) (50)
Cohomology of Lie groups (1962) (49)
Semisimplicity of $2$-graded Lie algebras, II (1976) (45)
Lie Algebra Kernels and Cohomology (1954) (41)
Pro-Affine Algebraic Groups (1969) (40)
ON THE ALGEBRA OF REPRESENTATIVE FUNCTIONS OF AN ANALYTIC GROUP. (1961) (40)
Automorphisms of simple algebras (1950) (38)
Cohomology Classes of Finite Type and Finite Dimensional Kernels for Lie Algebras (1954) (37)
Algebraic Lie algebras and representative functions (1959) (35)
THE AUTOMORPHISM GROUP OF A LIE GROUP (1952) (35)
Algebraic groups and Hopf algebras (1970) (34)
Note on Relative Homological Dimension (1958) (33)
Double Vector Spaces Over Division Rings (1949) (33)
Cohomology in Class Field Theory (1952) (31)
Mode competition using TE03 gyrotron cavities (1992) (31)
Anaesthesia in cardiac surgery. (1950) (28)
Automorphisms of affine algebraic groups (1969) (26)
Unipotent groups in invariant theory. (1973) (25)
THE BEGINNINGS OF THE THEORY OF HOPF ALGEBRAS (2008) (20)
Complexification of real analytic groups (1966) (19)
The automorphism group of Lie group (1952) (18)
Restricted Lie algebras and simple associative algebras of characteristic $p$ (1955) (17)
THE UNIVERSAL REPRESENTATION KERNEL OF A LIE GROUP (1960) (15)
An addition to Ado’s theorem (1966) (15)
On the structure of algebras with nonzero radical (1947) (15)
Extensions of Representations of Lie Groups and Lie Algebras, I (1957) (14)
LOCAL CLASS FIELD THEORY (1950) (14)
First experimental results of the KfK 150 GHz gyrotron (1988) (12)
Coverings of pro-affine algebraic groups (1970) (11)
Affine Embeddings of Complex Analytic Homogeneous Spaces (1965) (9)
Investigations of Superconducting Helix Resonators for a Heavy Ion Post Accelerator (1975) (8)
Note on algebraic Lie algebras (1971) (8)
Lie algebra cohomology and affine algebraic groups (1974) (8)
Algebraic Lie algebras and representative functions. Supplement (1960) (8)
Review: O. F. G. Schilling, The theory of valuations (1951) (7)
On representing analytic groups with their automorphisms (1978) (7)
DIFFERENTIAL FORMS AND LIE ALGEBRA COHOMOLOGY FOR ALGEBRAIC LINEAR GROUPS (1962) (6)
Complex Analytic Groups and Hopf Algebras (1969) (6)
Rationally injective modules for algebraic linear groups (1963) (6)
Basic constructions in group extension theory (1977) (5)
Electronic Tuning and Phase Control of Superconducting Helical Resonators (1973) (5)
Note on Artin's Reciprocity Law (1950) (5)
Note on maximal algebras (1950) (4)
Scalar MM-WAVB Network Analysis with High Dynamic Range (1988) (4)
Holomorphic Cohomology of Complex Analytic Linear Groups (1966) (4)
rf control of superconducting helically loaded cavities. (1972) (4)
Abstractly split group extensions (1977) (4)
Analytic and rational automorphisms of complex algebraic groups (1973) (3)
Operation Experiences with the Test Section of a Superconducting Heavy Ion Post Accelerator (1977) (3)
Operations on and (1962) (3)
Cohomology of affine algebraic homogeneous spaces (1967) (2)
ON THE ALGEBRAIC HULL OF A LIE ALGEBRA (1960) (2)
Lie Algebras and Differentiations in Rings of Power Series (1950) (2)
The basic concept of the SNQ linear accelerator (1981) (2)
Perspectives of Elementary Mathematics (1983) (2)
Method for Identification of Modes in Oversized Waveguide of High-Power 150 GHz Gyrotron (1985) (1)
Operations on Tor and Ext (1962) (1)
Algebraic Automorphism Groups (1975) (1)
RF Power Source Development for the High Current Linear Accelerator of the Spaliation Neutron Source (SNQ) (1981) (1)
Deformations of Affine Embeddings of Complex Analytic Homogeneous Spaces (1966) (1)
Vector Network-Analyzer for 130 - 150 GHz (1990) (1)
Mode-Frequency Analyzer for High-Power Gyrotrons in the 2-Millimeter Wave Range (1987) (1)
Instaneous frequency measurements on a gyrotron output signal (1989) (1)
Lie Algebras and Algebraic Subgroups (1981) (1)
Representation Theory of Lie Algebras (2017) (1)
A second introduction to analytic geometry (1969) (1)
Note on Lie algebra kernels in characteristic $p$ (1956) (1)
Representative action of the automorphisms of complex analytic groups (1975) (1)
The 150 GHz gyrotron experiment at the kernforschungszentrum karlsruhe (1987) (0)
INVESTIGATIONS OF SUPERCONDUCTING HELIXRESONATORSFOR A HEAVY ION POSTACCELERATOR (1975) (0)
Anaesthesia for the surgery of pulmonary tuberculosis. (1948) (0)
A linear postaccelerator with superconducting helix resonators for medium mass ions. Preparatory experiments and conceptual design (1978) (0)
Representative Functions and Hopf Algebras (1981) (0)
Accelerating tests on the first section of the Karlsruhe superconducting proton accelerator (1972) (0)
Algebraic number theory (1965) (0)
Semisimple Lie Algebras (1981) (0)
Elementary Lie Algebra Theory (1981) (0)
Derivations and Lie Algebras (1981) (0)
Ample algebras of representative functions on real analytic groups (1964) (0)
Affine Algebraic Sets and Groups (1981) (0)
Review: Nathan Jacobson, Lie algebras (1963) (0)
Coherent measurement system for atmospheric transmission behaviour in the 140-144 GHz range (1991) (0)
ON AUTOMORPHISMS AND DERIVATIONS OF SIMPLE RINGS WITH MINIMUM CONDITION^ (2010) (0)
Reflection Monitor for an Oversized Circular Waveguide (1986) (0)
Semisimplicity and Unipotency (1981) (0)
From Lie Algebras to Groups (1981) (0)
The Sphere in 3-Space (1983) (0)
FUNCTIONS OF LIE GROUPS, 111 (2016) (0)
RATIONALLY INJECTIVE MODULES FOR ALGEBRAIC LINEAR GROUPS1 (2010) (0)
The Universal Enveloping Algebra (1981) (0)
Applications of Galois Cohomology (1981) (0)
Structure Theory in Characteristic 0 (1981) (0)
Accelerating ions with superconducting resonators, operated at a temperature of 4.4 K (1976) (0)
Morphisms of Varieties and Dimension (1981) (0)
Book Review: The theory of valuations (1951) (0)
Experimental results with a TE§0§3§1 mode gyrotron at 140 GHz. (1989) (0)
On linearization of Lie group extensions (1962) (0)
Representative Algebraic Structures on Complex Analytic Homogeneous Spaces (1966) (0)
Operations on ${\rm Tor}$ and ${\rm Ext}$ (1962) (0)
The Exponential Function (1983) (0)
DIFFERENTIAL FORMS ON REGULAR (2017) (0)
SEIVilSIMPLICITY OF 2-GRADED LIE ALGEBRAS (0)

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