Compute Distance To:
 Author ID: raghunathan.madabusi-santanam Published as: Raghunathan, M. S. External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 60 Publications since 1963, including 1 Book 1 Contribution as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 18 Co-Authors with 19 Joint Publications 382 Co-Co-Authors
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### Co-Authors

 42 single-authored 6 Prasad, Gopal 2 Garland, Howard 2 Lubotzky, Alexander 2 Millson, John J. 2 Mozes, Shahar 2 Venkataramana, Tyakal Nanjundiah 1 Borel, Armand 1 Chandra, Premala 1 Chidambaram, R. 1 Farrell, F. Thomas 1 Göttsche, Lothar 1 Harder, Günter 1 Mani, H. S. 1 Nori, Madhav V. 1 Ontaneda, Pedro 1 Rai, Shesh N. 1 Ramanathan, Annamalai 1 Seshadri, Conjeeveram Srirangachari 1 Vesentini, Edoardo
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### Serials

 6 Inventiones Mathematicae 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Annals of Mathematics. Second Series 4 Mathematische Annalen 2 American Journal of Mathematics 2 Publications Mathématiques 2 Osaka Journal of Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Reviews in Mathematical Physics 1 Commentarii Mathematici Helvetici 1 Journal of Differential Geometry 1 The Journal of the Indian Mathematical Society. New Series 1 The Mathematics Student 1 Pacific Journal of Mathematics 1 Topology 1 Journal of the Ramanujan Mathematical Society 1 National Academy Science Letters 1 Proceedings of the National Academy of Sciences of the United States of America 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Journal of Mathematics and Mechanics 1 Ergebnisse der Mathematik und ihrer Grenzgebiete 1 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research 1 ICPT Lecture Notes 1 Mathematics Newsletter
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### Fields

 27 Topological groups, Lie groups (22-XX) 21 Group theory and generalizations (20-XX) 11 Algebraic geometry (14-XX) 7 Number theory (11-XX) 4 Algebraic topology (55-XX) 3 History and biography (01-XX) 3 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

45 Publications have been cited 1,244 times in 1,014 Documents Cited by Year
Discrete subgroups of Lie groups. Zbl 0254.22005
Raghunathan, M. S.
1972
A proof of Oseledec’s multiplicative ergodic theorem. Zbl 0415.28013
Raghunathan, M. S.
1979
Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups. Zbl 0206.03603
Garland, H.; Raghunathan, M. S.
1970
The word and Riemannian metrics on lattices of semisimple groups. Zbl 0988.22007
Lubotzky, Alexander; Mozes, Shahar; Raghunathan, M. S.
2000
Cartan subgroups and lattices in semi-simple groups. Zbl 0245.22013
1972
On the congruence subgroup problem. Zbl 0347.20027
Raghunathan, M. S.
1976
Topological central extensions of semi-simple groups over local fields. I, II. Zbl 0552.20025
1984
On the first cohomology of discrete subgroups of semisimple Lie groups. Zbl 0132.02102
Raghunathan, M. S.
1965
A note on quotients of real algebraic groups by arithmetic subgroups. Zbl 0218.22015
Raghunathan, M. S.
1968
Lectures on Levi convexity of complex manifolds and cohomology vanishing theorems. Notes by M.S.Raghunathan. Zbl 0206.36603
Vesentini, E.
1967
The congruence subgroup problem. Zbl 1086.20024
Raghunathan, M. S.
2004
Principal bundles on the affine line. Zbl 0587.14007
Raghunathan, M. S.; Ramanathan, A.
1984
Cohomology of arithmetic subgroups of algebraic groups. I. Zbl 0157.06802
Raghunathan, M. S.
1967
A note on generators for arithmetic subgroups of algebraic groups. Zbl 0793.20045
Raghunathan, M. S.
1992
On the congruence subgroup problem: Determination of the ”Metaplectic kernel”. Zbl 0517.20021
1983
Geometric construction of cohomology for arithmetic groups. I. Zbl 0524.22012
Millson, John J.; Raghunathan, M. S.
1981
Cyclic subgroups of exponential growth and metrics on discrete groups. Zbl 0786.22016
Lubotzky, Alexander; Mozes, Shahar; Raghunathan, M. S.
1993
On the Kneser-Tits problem. Zbl 0574.20033
1985
On the congruence subgroup problem. II. Zbl 0603.20044
Raghunathan, M. S.
1986
Torsion in cocompact lattices in coverings of Spin(2,n). Zbl 0513.22008
Raghunathan, M. S.
1984
Principal bundles on affine space and bundles on the projective line. Zbl 0661.14016
Raghunathan, M. S.
1989
Principal bundles on affine space. Zbl 0417.14037
Raghunathan, M. S.
1978
Discrete subgroups of algebraic groups over local fields of positive characteristics. Zbl 0689.22004
Raghunathan, M. S.
1989
On the group of norm 1 elements in a division algebra. Zbl 0639.20026
Raghunathan, M. S.
1988
Cohomology of arithmetic subgroups of algebraic groups. II. Zbl 0157.06803
Raghunathan, M. S.
1968
Principal bundles admitting a rational section. Zbl 0807.14012
Raghunathan, M. S.
1994
Vanishing theorems for cohomology groups associated to discrete subgroups of semisimple Lie groups. Zbl 0145.43702
Raghunathan, M. S.
1966
Universal central extensions. Zbl 0841.20032
Raghunathan, M. S.
1994
Topological central extensions of $$\text{SL}_1(D)$$. Zbl 0701.20024
1988
Tori in quasi-split groups. Zbl 1080.20042
Raghunathan, M. S.
2004
The first Betti number of arithmetic groups and the congruence subgroup problem. Zbl 0801.22006
Raghunathan, M. S.; Venkataramana, T. N.
1993
Non-univalent harmonic maps homotopic to diffeomorphisms. Zbl 1035.58014
Farrell, F. T.; Ontaneda, P.; Raghunathan, M. S.
2000
Discrete subgroups of Lie groups. Zbl 1193.22011
Raghunathan, M. S.
2007
A note on orbits of reductive groups. Zbl 0365.20048
Raghunathan, M. S.
1975
Fundamental domains for lattices in rank one semisimple Lie groups. Zbl 0174.05603
Garland, H.; Raghunathan, M. S.
1969
Geometric construction of cohomology for arithmetic groups. I. Zbl 0514.22007
Millson, John J.; Raghunathan, M. S.
1981
Discrete groups and Q-structures on semi-simple Lie groups. Zbl 0318.22012
Raghunathan, M. S.
1975
Corrections to ”Vanishing theorems for cohomology groups associated to discrete subgroups of semisimple Lie groups”. Zbl 0402.22009
Raghunathan, M. S.
1979
The congruence subgroup problem. Zbl 0819.20054
Raghunathan, M. S.
1991
Erratum: Principal bundles admitting a rational section. Zbl 0829.14009
Raghunathan, M. S.
1995
Arithmetic lattices in semisimple groups. Zbl 0491.22006
Raghunathan, M. S.
1982
The first Betti number of compact locally symmetric spaces. Zbl 0879.11027
Raghunathan, M. S.
1995
Corrigendum: “Torsion in cocompact lattices in coverings of $$\text{spin }(2, n)$$”. Zbl 0836.22015
Raghunathan, M. S.
1995
On conjugation of locally symmetric arithmetic varieties. Zbl 0842.14014
Nori, M. V.; Raghunathan, M. S.
1993
Tame subgroup of a semisimple group over a local field. Zbl 0566.20024
1983
Discrete subgroups of Lie groups. Zbl 1193.22011
Raghunathan, M. S.
2007
The congruence subgroup problem. Zbl 1086.20024
Raghunathan, M. S.
2004
Tori in quasi-split groups. Zbl 1080.20042
Raghunathan, M. S.
2004
The word and Riemannian metrics on lattices of semisimple groups. Zbl 0988.22007
Lubotzky, Alexander; Mozes, Shahar; Raghunathan, M. S.
2000
Non-univalent harmonic maps homotopic to diffeomorphisms. Zbl 1035.58014
Farrell, F. T.; Ontaneda, P.; Raghunathan, M. S.
2000
Erratum: Principal bundles admitting a rational section. Zbl 0829.14009
Raghunathan, M. S.
1995
The first Betti number of compact locally symmetric spaces. Zbl 0879.11027
Raghunathan, M. S.
1995
Corrigendum: “Torsion in cocompact lattices in coverings of $$\text{spin }(2, n)$$”. Zbl 0836.22015
Raghunathan, M. S.
1995
Principal bundles admitting a rational section. Zbl 0807.14012
Raghunathan, M. S.
1994
Universal central extensions. Zbl 0841.20032
Raghunathan, M. S.
1994
Cyclic subgroups of exponential growth and metrics on discrete groups. Zbl 0786.22016
Lubotzky, Alexander; Mozes, Shahar; Raghunathan, M. S.
1993
The first Betti number of arithmetic groups and the congruence subgroup problem. Zbl 0801.22006
Raghunathan, M. S.; Venkataramana, T. N.
1993
On conjugation of locally symmetric arithmetic varieties. Zbl 0842.14014
Nori, M. V.; Raghunathan, M. S.
1993
A note on generators for arithmetic subgroups of algebraic groups. Zbl 0793.20045
Raghunathan, M. S.
1992
The congruence subgroup problem. Zbl 0819.20054
Raghunathan, M. S.
1991
Principal bundles on affine space and bundles on the projective line. Zbl 0661.14016
Raghunathan, M. S.
1989
Discrete subgroups of algebraic groups over local fields of positive characteristics. Zbl 0689.22004
Raghunathan, M. S.
1989
On the group of norm 1 elements in a division algebra. Zbl 0639.20026
Raghunathan, M. S.
1988
Topological central extensions of $$\text{SL}_1(D)$$. Zbl 0701.20024
1988
On the congruence subgroup problem. II. Zbl 0603.20044
Raghunathan, M. S.
1986
On the Kneser-Tits problem. Zbl 0574.20033
1985
Topological central extensions of semi-simple groups over local fields. I, II. Zbl 0552.20025
1984
Principal bundles on the affine line. Zbl 0587.14007
Raghunathan, M. S.; Ramanathan, A.
1984
Torsion in cocompact lattices in coverings of Spin(2,n). Zbl 0513.22008
Raghunathan, M. S.
1984
On the congruence subgroup problem: Determination of the ”Metaplectic kernel”. Zbl 0517.20021
1983
Tame subgroup of a semisimple group over a local field. Zbl 0566.20024
1983
Arithmetic lattices in semisimple groups. Zbl 0491.22006
Raghunathan, M. S.
1982
Geometric construction of cohomology for arithmetic groups. I. Zbl 0524.22012
Millson, John J.; Raghunathan, M. S.
1981
Geometric construction of cohomology for arithmetic groups. I. Zbl 0514.22007
Millson, John J.; Raghunathan, M. S.
1981
A proof of Oseledec’s multiplicative ergodic theorem. Zbl 0415.28013
Raghunathan, M. S.
1979
Corrections to ”Vanishing theorems for cohomology groups associated to discrete subgroups of semisimple Lie groups”. Zbl 0402.22009
Raghunathan, M. S.
1979
Principal bundles on affine space. Zbl 0417.14037
Raghunathan, M. S.
1978
On the congruence subgroup problem. Zbl 0347.20027
Raghunathan, M. S.
1976
A note on orbits of reductive groups. Zbl 0365.20048
Raghunathan, M. S.
1975
Discrete groups and Q-structures on semi-simple Lie groups. Zbl 0318.22012
Raghunathan, M. S.
1975
Discrete subgroups of Lie groups. Zbl 0254.22005
Raghunathan, M. S.
1972
Cartan subgroups and lattices in semi-simple groups. Zbl 0245.22013
1972
Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups. Zbl 0206.03603
Garland, H.; Raghunathan, M. S.
1970
Fundamental domains for lattices in rank one semisimple Lie groups. Zbl 0174.05603
Garland, H.; Raghunathan, M. S.
1969
A note on quotients of real algebraic groups by arithmetic subgroups. Zbl 0218.22015
Raghunathan, M. S.
1968
Cohomology of arithmetic subgroups of algebraic groups. II. Zbl 0157.06803
Raghunathan, M. S.
1968
Lectures on Levi convexity of complex manifolds and cohomology vanishing theorems. Notes by M.S.Raghunathan. Zbl 0206.36603
Vesentini, E.
1967
Cohomology of arithmetic subgroups of algebraic groups. I. Zbl 0157.06802
Raghunathan, M. S.
1967
Vanishing theorems for cohomology groups associated to discrete subgroups of semisimple Lie groups. Zbl 0145.43702
Raghunathan, M. S.
1966
On the first cohomology of discrete subgroups of semisimple Lie groups. Zbl 0132.02102
Raghunathan, M. S.
1965
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### Cited in 195 Serials

 59 Inventiones Mathematicae 44 Duke Mathematical Journal 39 Israel Journal of Mathematics 38 Journal of Algebra 34 Mathematische Annalen 33 Ergodic Theory and Dynamical Systems 32 Geometriae Dedicata 31 Mathematische Zeitschrift 27 Advances in Mathematics 26 Transactions of the American Mathematical Society 20 Geometric and Functional Analysis. GAFA 19 Publications Mathématiques 17 Annales de l’Institut Fourier 17 Transformation Groups 16 Geometry & Topology 14 Compositio Mathematica 13 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 13 Annals of Mathematics. Second Series 13 Journal of Modern Dynamics 12 Journal of the American Mathematical Society 12 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 12 Algebraic & Geometric Topology 11 Journal of Functional Analysis 11 Proceedings of the American Mathematical Society 11 Topology and its Applications 11 Groups, Geometry, and Dynamics 10 Journal of Geometry and Physics 10 Journal of Soviet Mathematics 9 Communications in Algebra 9 Journal of Statistical Physics 9 Manuscripta Mathematica 9 Bulletin of the American Mathematical Society. New Series 9 Journal of the European Mathematical Society (JEMS) 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Monatshefte für Mathematik 8 Annals of Global Analysis and Geometry 7 Communications in Mathematical Physics 7 Journal d’Analyse Mathématique 7 Acta Mathematica 7 Siberian Mathematical Journal 7 Journal of Topology and Analysis 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Commentarii Mathematici Helvetici 6 Functional Analysis and its Applications 6 Journal of Pure and Applied Algebra 6 Journal für die Reine und Angewandte Mathematik 6 Differential Geometry and its Applications 6 Bulletin des Sciences Mathématiques 5 Mathematical Notes 5 Journal of Mathematical Sciences (New York) 5 Complex Manifolds 4 $$K$$-Theory 4 Forum Mathematicum 4 Expositiones Mathematicae 4 Experimental Mathematics 4 Selecta Mathematica. New Series 4 Journal of the Institute of Mathematics of Jussieu 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Proceedings of the Steklov Institute of Mathematics 3 Communications on Pure and Applied Mathematics 3 Letters in Mathematical Physics 3 Archiv der Mathematik 3 Bulletin de la Société Mathématique de France 3 Glasgow Mathematical Journal 3 Journal of the Mathematical Society of Japan 3 Mathematika 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 The Journal of Geometric Analysis 3 Linear Algebra and its Applications 3 Discrete and Continuous Dynamical Systems 3 Representation Theory 3 Bulletin of the American Mathematical Society 3 Journal of Topology 3 Forum of Mathematics, Sigma 2 Bulletin of the Australian Mathematical Society 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Biology 2 Journal of Mathematical Physics 2 Ukrainian Mathematical Journal 2 Arkiv för Matematik 2 Acta Arithmetica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 The Annals of Probability 2 Boletim da Sociedade Brasileira de Matemática 2 Indiana University Mathematics Journal 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Nachrichten 2 Memoirs of the American Mathematical Society 2 Michigan Mathematical Journal 2 Osaka Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Tôhoku Mathematical Journal. Second Series 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Physica D 2 Revista Matemática Iberoamericana 2 Mathematical and Computer Modelling 2 International Journal of Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Annales de l’Institut Henri Poincaré. Physique Théorique ...and 95 more Serials
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### Cited in 49 Fields

 480 Topological groups, Lie groups (22-XX) 332 Group theory and generalizations (20-XX) 197 Manifolds and cell complexes (57-XX) 192 Dynamical systems and ergodic theory (37-XX) 183 Differential geometry (53-XX) 149 Number theory (11-XX) 98 Algebraic geometry (14-XX) 63 Global analysis, analysis on manifolds (58-XX) 57 Several complex variables and analytic spaces (32-XX) 49 Probability theory and stochastic processes (60-XX) 35 Nonassociative rings and algebras (17-XX) 35 Measure and integration (28-XX) 34 Abstract harmonic analysis (43-XX) 32 Algebraic topology (55-XX) 31 Geometry (51-XX) 25 Functional analysis (46-XX) 19 $$K$$-theory (19-XX) 17 Combinatorics (05-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 17 Functions of a complex variable (30-XX) 14 Associative rings and algebras (16-XX) 14 General topology (54-XX) 13 Partial differential equations (35-XX) 11 Quantum theory (81-XX) 8 Category theory; homological algebra (18-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Ordinary differential equations (34-XX) 7 Fluid mechanics (76-XX) 6 Commutative algebra (13-XX) 6 Operator theory (47-XX) 5 Potential theory (31-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Convex and discrete geometry (52-XX) 4 Mathematical logic and foundations (03-XX) 4 Difference and functional equations (39-XX) 4 Computer science (68-XX) 4 Relativity and gravitational theory (83-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 3 Special functions (33-XX) 3 Biology and other natural sciences (92-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Approximations and expansions (41-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

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