Ernest Vinberg

Q: What Schools Are Affiliated With Ernest Vinberg

Ernest Vinberg is affiliated with the following schools: Moscow State University, Moscow State University

Ernest Vinberg's AcademicInfluence.com Rankings

Ernest Vinberg

Mathematics

#2517

World Rank

#3874

Historical Rank

Measure Theory

#1726

World Rank

#2120

Historical Rank

mathematics Degrees

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Mathematics

Ernest Vinberg's Degrees

PhD Mathematics Moscow State University

Why Is Ernest Vinberg Influential?

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According to Wikipedia, Ernest Borisovich Vinberg was a Soviet and Russian mathematician, who worked on Lie groups and algebraic groups, discrete subgroups of Lie groups, invariant theory, and representation theory. He introduced Vinberg's algorithm and the Koecher–Vinberg theorem.

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Ernest Vinberg'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

Spaces of constant curvature (1993) (883)
Lie groups and algebraic groups (1990) (815)
Lie Groups and Lie Algebras III (1993) (383)
THE WEYL GROUP OF A GRADED LIE ALGEBRA (1976) (292)
DISCRETE LINEAR GROUPS GENERATED BY REFLECTIONS (1971) (257)
Discrete groups that are generated by reflections (1971) (248)
Structure of Lie groups and Lie algebras (1994) (240)
Discrete Groups of Motions of Spaces of Constant Curvature (1993) (208)
Hyperbolic reflection groups (1985) (184)
DISCRETE GROUPS GENERATED BY REFLECTIONS IN LOBAČEVSKIĬ SPACES (1967) (181)
A course in algebra (2003) (175)
Geometry of Spaces of Constant Curvature (1993) (163)
Complexity of action of reductive groups (1986) (149)
Foundations of Lie theory ; Lie transformation groups (1993) (136)
Linear Representations of Groups (2002) (132)
Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups (1978) (132)
ON A CLASS OF QUASIHOMOGENEOUS AFFINE VARIETIES (1972) (122)
The two most algebraic K3 surfaces (1983) (118)
Quasi-homogeneous cones (1967) (100)
Commutative homogeneous spaces and co-isotropic symplectic actions (2001) (95)
Invariant convex cones and orderings in Lie groups (1980) (94)
ON GROUPS OF UNIT ELEMENTS OF CERTAIN QUADRATIC FORMS (1972) (93)
Absence of crystallographic groups of reflections in Lobachevskii spaces of large dimension (1981) (93)
Introduction to total positivity (1998) (90)
ON CERTAIN COMMUTATIVE SUBALGEBRAS OF A UNIVERSAL ENVELOPING ALGEBRA (1991) (85)
RINGS OF DEFINITION OF DENSE SUBGROUPS OF SEMISIMPLE LINEAR GROUPS (1971) (78)
Geometry II : Spaces of Constant Curvature (1993) (73)
Weakly symmetric spaces and spherical varieties (1999) (69)
On right-angled reflection groups in hyperbolic spaces (2005) (68)
Some linear groups virtually having a free quotient. (2000) (63)
Orbits of greatest dimension in semi-simple linear Lie groups (1967) (63)
Lie groups and Lie algebras : E.B. Dynkin's seminar (1995) (62)
Representations of Lie Groups (1989) (57)
Strong Tits alternative for subgroups of Coxeter groups. (2002) (49)
Lie groups, their discrete subgroups, and invariant theory (1992) (47)
Volumes of non-Euclidean polyhedra (1993) (39)
A generalized Harish-Chandra isomorphism (2009) (35)
Classification of 2-reflective hyperbolic lattices of rank 4 (2007) (33)
On invariants of a set of matrices (1996) (32)
KÄHLERIAN MANIFOLDS ADMITTING A TRANSITIVE SOLVABLE AUTOMORPHISM GROUP (1967) (31)
On unimodular integral quadratic forms (1972) (28)
Automorphic forms on symmetric domains of type IV (2010) (27)
On the algebra of Siegel modular forms of genus 2 (2014) (26)
The asymptotic semigroup of a semisimple Lie group (1995) (22)
Non-Arithmetic Hyperbolic Reflection Groups in Higher Dimensions (2015) (22)
Cyclic elements in semisimple lie algebras (2012) (19)
SOME EXAMPLES OF CRYSTALLOGRAPHIC GROUPS IN LOBAČEVSKIĬ SPACES (1969) (16)
Control sets and semigroups in semisimple Lie groups (1995) (16)
Noncoherence of some lattices in Isom.H n (2006) (15)
The work of Vladimir Morozov on Lie algebras (2010) (14)
Geometric invariant theory approach to the determination of ground states of D-wave condensates in isotropic space (2000) (14)
Discrete subgroups of Lie groups and cohomologies of Lie groups and Lie algebras (2000) (13)
Equivariant Symplectic Geometry of Cotangent Bundles (2001) (13)
On exceptional nilpotents in semisimple Lie algebras (2008) (12)
Generating semisimple groups by tori (2011) (12)
An introduction to the embedding problem for probabilities on locally compact groups (1998) (12)
Semigroups in algebra, geometry and analysis (1995) (12)
ALGEBRAIC TRANSFORMATION GROUPS OF MAXIMAL RANK (1972) (11)
Lattices in Symplectic Lie Groups (2006) (11)
A criterion of smoothness at infinity for an arithmetic quotient of the future tube (2017) (11)
Homogeneous Kähler Manifolds (2011) (10)
Invariant norms in compact Lie algebras (1968) (9)
An effective method to compute closure ordering for nilpotent orbits of $\theta$-representations (2011) (9)
Groups defined by periodic paired relations (1997) (9)
Lie Groups and Invariant Theory (2005) (8)
Non-abelian gradings of Lie algebras (2017) (8)
On some number-theoretic conjectures of V. Arnold (2007) (7)
On Some Free Algebras of Automorphic Forms (2018) (7)
The dual horospherical Radon transform for polynomials (2001) (6)
Construction of Groups Associated to Lie- and to Leibniz-Algebras (2007) (5)
THE SMALLEST FIELD OF DEFINITION OF A SUBGROUP OF THE GROUP $ \mathrm{PSL}_2$ (1995) (4)
Applications of the maximum principle to problems in Lie semigroups (1995) (4)
ON A PHENOMENON DISCOVERED BY HEINZ HELLING (2017) (4)
Properties of the root decomposition of a semisimple Lie algebra over an algebraically nonclosed field (1975) (3)
Groups: Pseudo-finite generalized triangle groups (2004) (2)
Limits of integrable Hamiltonians on semisimple Lie algebras (2014) (2)
Possible ground states of D-wave condensates in isotropic space (2000) (2)
Discrete reflection groups in Lobachevskii spaces of large dimension (1985) (1)
An infinitesimal characterization of the complexity of homogeneous spaces (1999) (1)
Moduli algebras of some non-semiquasihomogeneous singularities (2017) (1)
Weakly symmetric Riemannian manifolds with reductive isometry group (2016) (1)
The Lattice Subgroups Conjecture (2009) (1)
Complex Semisimple Lie Groups (1990) (1)
Parabolic Induction of Projective Orbits and Subalgebras (2006) (1)
Actions of Vanishing Homogeneity Rank on Quaternionic-Kähler Projective Spaces (2008) (1)
MODULI ALGEBRAS OF SOME SIMPLEST NON-SEMIQUASIHOMOGENEOUS SINGULARITIES (2015) (1)
An analogue of the Gel'fand-Tsetlin basis for symplectic Lie algebras (2016) (1)
On non-connected simple linear groups with a free algebra of invariants (2017) (1)
The Baker-Campbell-Hausdorff Formula in the Free Metabelian Lie Algebra (2007) (0)
Linear representations and associative algebras (2003) (0)
2 M ay 2 01 2 Cyclic elements in semisimple Lie algebras (0)
On the Singularity of some Special Components of Springer Fibers∗ (2010) (0)
On the Principal Bundles over a Flag Manifold, II (2007) (0)
Evgenii Solomonovich Golod (2019) (0)
Limits of integrable Hamiltonians on semisimple Lie algebras (2014) (0)
Double Flag Varieties for a Symmetric Pair and Finiteness of Orbits (2010) (0)
Representations of Finite Groups (2010) (0)
Sixteen Papers on Number Theory and Algebra (1969) (0)
Degeneration of Horospheres in Spherical Homogeneous Spaces (2018) (0)
On Abelian coverings of surfaces (2007) (0)
Ernest Vinberg, Nikita Vvedenskaya, Alexandre Kirillov, and Vladimir Tikhomirov Interview (1993) (0)
Symplectic convexity theorems, Lie semigroups, and unitary representations (1995) (0)
Affine and projective spaces (2003) (0)
Invariant Theory of Little Adjoint Modules (2012) (0)
On Some Free Algebras of Automorphic Forms (2018) (0)
Representations of Compact Groups (2010) (0)
Sheets of Symmetric Lie Algebras and Slodowy Slices (2010) (0)
The Dynkin Theorem for Multilinear Lie Elements (2013) (0)
Real Semisimple Lie Groups (1990) (0)
General Properties of Representations (1989) (0)
Arkadii L’vovich Onishchik (2020) (0)
Ernest Vinberg Interview April 16, 1999 (1999) (0)
Cyclic elements in semisimple lie algebras (2013) (0)
Moduli algebras of some non-semiquasihomogeneous singularities (2017) (0)
A criterion of smoothness at infinity for an arithmetic quotient of the future tube (2017) (0)
Valentin Evgen'evich Voskresenskii (obituary) (2014) (0)
Higher Arf Functions and Moduli Space of Higher Spin Surfaces (2009) (0)
Complete Filtered Lie Algebras over a Vector Space of Dimension Two (2002) (0)
Elements of linear algebra (2003) (0)
Elements of polynomial algebra (2003) (0)
Economizing Brackets to Define Filiform Lie Algebras (2009) (0)
INEQUALITIES BETWEEN RANDOM VARIABLES AND TWO-STEP NILPOTENT LIE SEMIGROUPS (2018) (0)
Heinz-Kato’s Inequalities for Lie Groups (2009) (0)
Alexei Ivanovich Kostrikin (February 12, 1929 - September 22, 2000) (2001) (0)
Classification of contraction algebras and pre-Lie algebras associated to braces and trusses (2020) (0)
Degeneration of Horospheres in Spherical Homogeneous Spaces (2018) (0)
Arkady Onishchik and Ernest Vinberg Interview (1989) (0)
ON A PHENOMENON DISCOVERED BY HEINZ HELLING (2017) (0)
Ernest Vinberg Interview March 8, 1992 (1992) (0)
Elements of group theory (2003) (0)
THE ADDITIVE THEORY OF IDEALS IN SYSTEMS WITH RESIDUALS (2016) (0)
Aleksei Ivanovich Kostrikin (obituary) (2001) (0)

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What Schools Are Affiliated With Ernest Vinberg?

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