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Gel’fand, Sergeĭ Izrail’evich

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Author ID: gelfand.sergei-izrailevich Recent zbMATH articles by "Gel’fand, Sergeĭ Izrail’evich"
Published as: Gel’fand, S. I.; Gelfand, S. I.; Gelfand, Sergei; Gelfand, Serge; Gelfand, S.; Gelfand, Sergej; Gelfand, Sergei Izrailevich
Further Spellings: Гельфанд Сергей Израильевич
External Links: MGP · Wikidata · Math-Net.Ru · IdRef
Documents Indexed: 69 Publications since 1961, including 7 Books
3 Contributions as Editor · 1 Further Contribution
Reviewing Activity: 35 Reviews
Co-Authors: 27 Co-Authors with 65 Joint Publications
979 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 1,389 times in 1,121 Documents Cited by Year
Methods of homological algebra. Transl. from the Russian. 2nd ed. Zbl 1006.18001
Gelfand, S. I.; Manin, Yu. I.
142
2003
Structure of representations generated by vectors of highest weight. Zbl 0246.17008
Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I.
135
1971
Schubert cells and cohomology of the spaces G/P. Zbl 0289.57024
Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I.
135
1973
Rational approximations and orthogonality. Transl. from the Russ. by Ralph P. Boas. Transl. ed. by S. Gelfand. Zbl 0733.41001
Nikishin, E. M.; Sorokin, V. N.
132
1991
Tensor products of finite- and infinite-dimensional representations of semisimple Lie algebras. Zbl 0445.17006
Bernstein, J. N.; Gelfand, S. I.
120
1980
Quasideterminants. Zbl 1079.15007
Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir; Wilson, Robert Lee
120
2005
Methods of homological algebra. Transl. from the Russian. Zbl 0855.18001
Gelfand, S. I.; Manin, Yu. I.
88
1996
Differential operators on the base affine space and a study of \(\mathfrak g\)-modules. Zbl 0338.58019
Bernstein, I. N.; Gelfand, I. M.; Gelfand, S. I.
77
1975
Vector bundles on complex projective spaces. With an appendix by S. I. Gelfand. Corrected reprint of the 1988 edition. Zbl 1237.14003
Okonek, Christian; Schneider, Michael; Spindler, Heinz
58
2011
Category of \(\mathfrak g\) modules. Zbl 0353.18013
Bernshteĭn, I. N.; Gel’fand, I. M.; Gel’fand, S. I.
50
1976
Quantum Schubert polynomials. Zbl 0912.14018
Fomin, Sergey; Gelfand, Sergei; Postnikov, Alexander
46
1997
Meromorphic property of the functions \(P^ \lambda\). Zbl 0208.15201
Bernstein, I. N.; Gelfand, S. I.
32
1969
Algebraic bundles over \(\mathbb P^n\) and problems of linear algebra. Zbl 0424.14002
Bernstein, I. N.; Gelfand, I. M.; Gelfand, S. I.
28
1979
Homological Algebra. Zbl 0787.18008
Gelfand, S. I.; Manin, Yu. I.
24
1989
Perverse sheaves and quivers. Zbl 0861.32022
Gelfand, Sergei; MacPherson, Robert; Vilonen, Kari
23
1996
Models of representations of compact Lie groups. Zbl 0339.22009
Bernstein, I. N.; Gelfand, I. M.; Gelfand, S. I.
20
1976
Examples of tensor categories. Zbl 0784.18003
Gelfand, Sergei; Kazhdan, David
18
1992
Differential operators on a cubic cone. Zbl 0257.58010
Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I.
17
1972
Models of representations of Lie groups. Zbl 0499.22004
Bernstein, I. N.; Gelfand, I. M.; Gelfand, S. I.
15
1976
Verma modules and Schubert cells: A dictionary. Zbl 0512.22009
Gelfand, Sergei; MacPherson, Robert
13
1982
Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials. Zbl 1015.16034
Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir; Serconek, Shirlei; Wilson, Robert Lee
13
2002
Algebraische Faserbündel auf \(\mathbb P^n\) und Probleme der linearen Algebra. Zbl 0402.14005
Bernstein, I. N.; Gelfand, I. M.; Gelfand, S. I.
12
1978
Factorizations of polynomials over noncommutative algebras and sufficient sets of edges in directed graphs. Zbl 1112.05048
Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir; Wilson, Robert Lee
10
2005
Methods of homological algebra. Vol. 1: Introduction to cohomology theory and derived categories. (Metody gomologicheskoj algebry. Tom 1: Vvedenie v teoriyu kogomologij i proizvodnye kategorii.) Zbl 0668.18001
Gel’fand, S. I.; Manin, Yu. I.
7
1988
Representations of the full linear group over a finite field. Zbl 0252.20034
Gel’fand, S. I.
7
1971
Noncommutative algebras associated to complexes and graphs. Zbl 0992.16026
Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir
6
2001
Coding for channel with random parameters. Zbl 0427.94007
Gel’fand, S. I.; Pinsker, M. S.
6
1980
Invariants of three-dimensional manifolds. Zbl 0870.57017
Gelfand, S.; Kazhdan, D.
6
1996
Generalized hypergeometric equations. Zbl 0634.58030
Gel’fand, I. M.; Gel’fand, S. I.
5
1986
An algebraic description of some categories of \(D_ X\)-modules. Zbl 0601.32011
Gel’fand, S. I.; Khoroshkin, S. M.
4
1985
Schubert cells and flag space cohomologies. Zbl 0282.20035
Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I.
4
1973
Representations of the general linear group over a finite field. Zbl 0322.20023
Gelfand, S. I.
3
1975
Schubert cells and cohomology of the spaces G/P. Zbl 0493.57025
Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I.
2
1982
Extensions of representations of \(p\)-adic nilpotent groups. Zbl 0785.22010
Gelfand, S.; Kazhdan, D.
2
1992
Differentialoperatoren auf einem kubischen Kegel. Zbl 0253.58009
Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I.
2
1972
Analytic representations of the full linear group over a finite field. Zbl 0281.22017
Gel’fand, S. I.
2
1968
Simple methods for deriving lower bounds the theory of codes. Zbl 0782.94011
Bassalygo, L. A.; Gel’fand, S. I.; Pinsker, M. S.
1
1991
Simple methods for obtaining lower bounds in coding theory. Zbl 0752.94011
Bassalygo, L. A.; Gel’fand, S. I.; Pinsker, M. S.
1
1991
Structure locale de la categorie des modules de Harish-Chandra. Zbl 0416.22018
Bernstein, Joseph; Gelfand, Israel; Gelfand, Serge
1
1978
A new model for the representation of finite semisimple algebraic groups. Zbl 0354.20031
Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I.
1
1974
On the complexity of coding. Zbl 0277.94004
Gelfand, S. I.; Dobrushin, R. L.; Pinsker, M. S.
1
1973
Vector bundles on complex projective spaces. With an appendix by S. I. Gelfand. Corrected reprint of the 1988 edition. Zbl 1237.14003
Okonek, Christian; Schneider, Michael; Spindler, Heinz
58
2011
Quasideterminants. Zbl 1079.15007
Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir; Wilson, Robert Lee
120
2005
Factorizations of polynomials over noncommutative algebras and sufficient sets of edges in directed graphs. Zbl 1112.05048
Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir; Wilson, Robert Lee
10
2005
Methods of homological algebra. Transl. from the Russian. 2nd ed. Zbl 1006.18001
Gelfand, S. I.; Manin, Yu. I.
142
2003
Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials. Zbl 1015.16034
Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir; Serconek, Shirlei; Wilson, Robert Lee
13
2002
Noncommutative algebras associated to complexes and graphs. Zbl 0992.16026
Gelfand, Israel; Gelfand, Sergei; Retakh, Vladimir
6
2001
Quantum Schubert polynomials. Zbl 0912.14018
Fomin, Sergey; Gelfand, Sergei; Postnikov, Alexander
46
1997
Methods of homological algebra. Transl. from the Russian. Zbl 0855.18001
Gelfand, S. I.; Manin, Yu. I.
88
1996
Perverse sheaves and quivers. Zbl 0861.32022
Gelfand, Sergei; MacPherson, Robert; Vilonen, Kari
23
1996
Invariants of three-dimensional manifolds. Zbl 0870.57017
Gelfand, S.; Kazhdan, D.
6
1996
Examples of tensor categories. Zbl 0784.18003
Gelfand, Sergei; Kazhdan, David
18
1992
Extensions of representations of \(p\)-adic nilpotent groups. Zbl 0785.22010
Gelfand, S.; Kazhdan, D.
2
1992
Rational approximations and orthogonality. Transl. from the Russ. by Ralph P. Boas. Transl. ed. by S. Gelfand. Zbl 0733.41001
Nikishin, E. M.; Sorokin, V. N.
132
1991
Simple methods for deriving lower bounds the theory of codes. Zbl 0782.94011
Bassalygo, L. A.; Gel’fand, S. I.; Pinsker, M. S.
1
1991
Simple methods for obtaining lower bounds in coding theory. Zbl 0752.94011
Bassalygo, L. A.; Gel’fand, S. I.; Pinsker, M. S.
1
1991
Homological Algebra. Zbl 0787.18008
Gelfand, S. I.; Manin, Yu. I.
24
1989
Methods of homological algebra. Vol. 1: Introduction to cohomology theory and derived categories. (Metody gomologicheskoj algebry. Tom 1: Vvedenie v teoriyu kogomologij i proizvodnye kategorii.) Zbl 0668.18001
Gel’fand, S. I.; Manin, Yu. I.
7
1988
Generalized hypergeometric equations. Zbl 0634.58030
Gel’fand, I. M.; Gel’fand, S. I.
5
1986
An algebraic description of some categories of \(D_ X\)-modules. Zbl 0601.32011
Gel’fand, S. I.; Khoroshkin, S. M.
4
1985
Verma modules and Schubert cells: A dictionary. Zbl 0512.22009
Gelfand, Sergei; MacPherson, Robert
13
1982
Schubert cells and cohomology of the spaces G/P. Zbl 0493.57025
Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I.
2
1982
Tensor products of finite- and infinite-dimensional representations of semisimple Lie algebras. Zbl 0445.17006
Bernstein, J. N.; Gelfand, S. I.
120
1980
Coding for channel with random parameters. Zbl 0427.94007
Gel’fand, S. I.; Pinsker, M. S.
6
1980
Algebraic bundles over \(\mathbb P^n\) and problems of linear algebra. Zbl 0424.14002
Bernstein, I. N.; Gelfand, I. M.; Gelfand, S. I.
28
1979
Algebraische Faserbündel auf \(\mathbb P^n\) und Probleme der linearen Algebra. Zbl 0402.14005
Bernstein, I. N.; Gelfand, I. M.; Gelfand, S. I.
12
1978
Structure locale de la categorie des modules de Harish-Chandra. Zbl 0416.22018
Bernstein, Joseph; Gelfand, Israel; Gelfand, Serge
1
1978
Category of \(\mathfrak g\) modules. Zbl 0353.18013
Bernshteĭn, I. N.; Gel’fand, I. M.; Gel’fand, S. I.
50
1976
Models of representations of compact Lie groups. Zbl 0339.22009
Bernstein, I. N.; Gelfand, I. M.; Gelfand, S. I.
20
1976
Models of representations of Lie groups. Zbl 0499.22004
Bernstein, I. N.; Gelfand, I. M.; Gelfand, S. I.
15
1976
Differential operators on the base affine space and a study of \(\mathfrak g\)-modules. Zbl 0338.58019
Bernstein, I. N.; Gelfand, I. M.; Gelfand, S. I.
77
1975
Representations of the general linear group over a finite field. Zbl 0322.20023
Gelfand, S. I.
3
1975
A new model for the representation of finite semisimple algebraic groups. Zbl 0354.20031
Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I.
1
1974
Schubert cells and cohomology of the spaces G/P. Zbl 0289.57024
Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I.
135
1973
Schubert cells and flag space cohomologies. Zbl 0282.20035
Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I.
4
1973
On the complexity of coding. Zbl 0277.94004
Gelfand, S. I.; Dobrushin, R. L.; Pinsker, M. S.
1
1973
Differential operators on a cubic cone. Zbl 0257.58010
Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I.
17
1972
Differentialoperatoren auf einem kubischen Kegel. Zbl 0253.58009
Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I.
2
1972
Structure of representations generated by vectors of highest weight. Zbl 0246.17008
Bernstein, I. N.; Gel’fand, I. M.; Gel’fand, S. I.
135
1971
Representations of the full linear group over a finite field. Zbl 0252.20034
Gel’fand, S. I.
7
1971
Meromorphic property of the functions \(P^ \lambda\). Zbl 0208.15201
Bernstein, I. N.; Gelfand, S. I.
32
1969
Analytic representations of the full linear group over a finite field. Zbl 0281.22017
Gel’fand, S. I.
2
1968
all top 5

Cited by 1,196 Authors

41 Mazorchuk, Volodymyr
19 Stroppel, Catharina H.
15 Retakh, Vladimir Solomonovich
12 Joseph, Anthony
12 Kac, Victor G.
10 Coulembier, Kevin
9 Duan, Haibao
9 Hassan, Mahmood-Ul
9 Wilson, Robert Lee
8 De Sole, Alberto
8 Joyce, Dominic David
8 Khovanov, Mikhail G.
8 König, Steffen
8 Serganova, Vera V.
8 Valeri, Daniele
7 Dobrev, Vladimir K.
7 Futorny, Vyacheslav M.
7 Kirillov, Anatol N.
7 Sather-Wagstaff, Sean
6 Backelin, Erik
6 Gel’fand, Sergeĭ Izrail’evich
6 Ginzburg, Victor
6 Kapranov, Mikhail M.
6 Mañas, Manuel
6 Postnikov, Alexander
6 Serconek, Shirlei
6 Tamvakis, Harry
5 Alesker, Semyon
5 Brundan, Jonathan
5 Skovsted Buch, Anders
5 Kumar, Shrawan
5 Kyrchei, Ivan I.
5 Matumoto, Hisayosi
5 Mihalcea, Leonardo Constantin
5 Murray, Michael K.
5 Saleem, U.
5 Sottile, Frank
5 Yong, Alexander
5 Zhao, Xuezhi
4 Adin, Ron M.
4 Akin, Kaan
4 Avramov, Luchezar L.
4 Bergeron, Nantel
4 Chen, Chih-Whi
4 Chen, Xiaowu
4 Collingwood, David H.
4 Di, Zhenxing
4 Etingof, Pavel Il’ich
4 Feichtner-Kozlov, Dimitry N.
4 Frankild, Anders J.
4 Gel’fand, Israil’ Moiseevich
4 Grantcharov, Dimitar
4 Guo, Jinyun
4 Irving, Ronald S.
4 Jakobsen, Hans Plesner
4 Kashiwara, Masaki
4 Kato, Goro C.
4 Khomenko, Oleksandr
4 Kresch, Andrew
4 Lascoux, Alain
4 Lepowsky, James
4 Levasseur, Thierry
4 Martinez-Villa, Roberto
4 Mrđen, Rafael
4 Mudrov, Andrey I.
4 Neidhardt, Wayne
4 Qi, You
4 Roichman, Yuval
4 Schechtman, Vadim
4 Shimozono, Mark
4 Soergel, Wolfgang
4 Stafford, J. Toby
4 Tymoczko, Julianna S.
4 Vilonen, Kari
4 Zhang, Xiaoxiang
3 Abe, Noriyuki
3 Andersen, Henning Haahr
3 Ariznabarreta, Gerardo
3 Arnol’d, Vladimir Igorevich
3 Assem, Ibrahim
3 Beilinson, Alexander A.
3 Berenstein, Arkady
3 Bernstein, Joseph
3 Billey, Sara C.
3 Boe, Brian Douglas
3 Braden, Tom
3 Buchweitz, Ragnar-Olaf
3 Bump, Daniel
3 Čap, Andreas
3 Chari, Vyjayanthi
3 Ciocan-Fontanine, Ionuţ
3 Deodhar, Vinay V.
3 Di Francesco, Philippe
3 Enright, Thomas J.
3 Feĭgin, Boris L’vovich
3 Fomin, Sergey Vladimirovich
3 Fulton, William
3 Gabber, Ofer
3 García-Ardila, Juan Carlos
3 Generalov, Aleksandr Ivanovich
...and 1,096 more Authors
all top 5

Cited in 199 Serials

124 Journal of Algebra
111 Advances in Mathematics
42 Communications in Algebra
42 Journal of Pure and Applied Algebra
35 Duke Mathematical Journal
31 Inventiones Mathematicae
29 Transactions of the American Mathematical Society
27 Communications in Mathematical Physics
25 Mathematische Zeitschrift
23 Compositio Mathematica
20 Journal of Mathematical Physics
20 Functional Analysis and its Applications
18 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
17 Journal of Geometry and Physics
17 Selecta Mathematica. New Series
14 Representation Theory
13 Mathematische Annalen
13 Algebras and Representation Theory
12 Theoretical and Mathematical Physics
12 Annales de l’Institut Fourier
11 Letters in Mathematical Physics
10 Proceedings of the American Mathematical Society
10 Journal of Algebraic Combinatorics
10 Journal of Mathematical Sciences (New York)
9 Manuscripta Mathematica
9 Advances in Applied Mathematics
8 Transformation Groups
7 Discrete Mathematics
7 Israel Journal of Mathematics
7 Tohoku Mathematical Journal. Second Series
7 Journal of Algebra and its Applications
7 Science China. Mathematics
6 Journal für die Reine und Angewandte Mathematik
6 Proceedings of the Japan Academy. Series A
6 Topology and its Applications
6 Journal of the American Mathematical Society
6 Linear Algebra and its Applications
6 Indagationes Mathematicae. New Series
6 Algebraic & Geometric Topology
5 Linear and Multilinear Algebra
5 Journal of Soviet Mathematics
5 Journal of Symbolic Computation
5 International Journal of Algebra and Computation
5 Bulletin of the American Mathematical Society. New Series
5 Journal of Knot Theory and its Ramifications
5 Documenta Mathematica
5 Annals of Mathematics. Second Series
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Journal of Noncommutative Geometry
4 Nuclear Physics. B
4 Archiv der Mathematik
4 Journal of Combinatorial Theory. Series A
4 Journal of Functional Analysis
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Acta Applicandae Mathematicae
4 Applied Categorical Structures
4 Acta Mathematica Sinica. English Series
4 Journal of High Energy Physics
4 Journal of Nonlinear Mathematical Physics
4 Proceedings of the Steklov Institute of Mathematics
4 Journal of Homotopy and Related Structures
3 Modern Physics Letters A
3 Journal d’Analyse Mathématique
3 Journal of Mathematical Analysis and Applications
3 Bulletin de la Société Mathématique de France
3 Journal of Number Theory
3 Nagoya Mathematical Journal
3 European Journal of Combinatorics
3 Forum Mathematicum
3 International Journal of Mathematics
3 Differential Geometry and its Applications
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Journal of Algebraic Geometry
3 Bulletin des Sciences Mathématiques
3 Theory and Applications of Categories
3 Geometry & Topology
3 Annals of Combinatorics
3 Journal of the European Mathematical Society (JEMS)
3 Communications in Nonlinear Science and Numerical Simulation
3 Foundations of Computational Mathematics
3 Frontiers of Mathematics in China
3 Journal of Commutative Algebra
3 Quantum Topology
2 International Journal of Theoretical Physics
2 Mathematical Notes
2 Physics Letters. A
2 Problems of Information Transmission
2 Russian Mathematical Surveys
2 Chaos, Solitons and Fractals
2 Acta Mathematica Vietnamica
2 Canadian Journal of Mathematics
2 Glasgow Mathematical Journal
2 Publications Mathématiques
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Approximation Theory
2 Journal of Computational and Applied Mathematics
2 Rendiconti del Seminario Matematico della Università di Padova
2 Siberian Mathematical Journal
2 Information and Computation
2 Geometric and Functional Analysis. GAFA
...and 99 more Serials
all top 5

Cited in 52 Fields

348 Algebraic geometry (14-XX)
344 Nonassociative rings and algebras (17-XX)
255 Associative rings and algebras (16-XX)
191 Category theory; homological algebra (18-XX)
140 Group theory and generalizations (20-XX)
137 Topological groups, Lie groups (22-XX)
109 Combinatorics (05-XX)
90 Commutative algebra (13-XX)
75 Quantum theory (81-XX)
65 Several complex variables and analytic spaces (32-XX)
64 Differential geometry (53-XX)
64 Manifolds and cell complexes (57-XX)
58 Algebraic topology (55-XX)
53 Number theory (11-XX)
52 Linear and multilinear algebra; matrix theory (15-XX)
50 Dynamical systems and ergodic theory (37-XX)
48 Global analysis, analysis on manifolds (58-XX)
32 Partial differential equations (35-XX)
23 Functional analysis (46-XX)
19 Special functions (33-XX)
16 Order, lattices, ordered algebraic structures (06-XX)
14 Functions of a complex variable (30-XX)
14 Abstract harmonic analysis (43-XX)
14 Statistical mechanics, structure of matter (82-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
11 Information and communication theory, circuits (94-XX)
10 Convex and discrete geometry (52-XX)
9 Field theory and polynomials (12-XX)
9 \(K\)-theory (19-XX)
9 Computer science (68-XX)
8 Difference and functional equations (39-XX)
7 Ordinary differential equations (34-XX)
7 Geometry (51-XX)
6 Operator theory (47-XX)
6 Numerical analysis (65-XX)
5 Mathematical logic and foundations (03-XX)
5 Relativity and gravitational theory (83-XX)
5 Systems theory; control (93-XX)
4 Mechanics of particles and systems (70-XX)
3 History and biography (01-XX)
3 Real functions (26-XX)
3 Potential theory (31-XX)
2 Integral transforms, operational calculus (44-XX)
2 Statistics (62-XX)
2 Mechanics of deformable solids (74-XX)
1 General and overarching topics; collections (00-XX)
1 General algebraic systems (08-XX)
1 Approximations and expansions (41-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Probability theory and stochastic processes (60-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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