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Kumar, Shrawan

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 Author ID: kumar.shrawan Published as: Kumar, Shrawan; Kumar, S. External Links: MGP · Wikidata
 Documents Indexed: 132 Publications since 1977, including 6 Books Reviewing Activity: 68 Reviews
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Co-Authors

 46 single-authored 6 Kostant, Bertram 5 Littelmann, Peter 5 Malik, Rudra Prakash 4 Belkale, Prakash 4 Chauhan, B. 4 Funch Thomsen, Jesper 3 Soergel, Wolfgang 3 Vergne, Michèle 2 Boysal, Arzu 2 Joseph, Anthony 2 Millson, John J. 2 Narasimhan, Mudumbai S. 2 Prasad, Dipendra 2 Sanyal, Amitabha 1 Aghigh, Kamal 1 Akhter, Zuber 1 Askari, D. 1 Baldwin, Seth 1 Bansal, S. P. 1 Bhaskar, Avinash K. 1 Bishnoi, Anuj 1 Brion, Michel 1 Brown, Merrick 1 Bushek, Nathaniel 1 Chandrasekaran, Ramaswamy 1 Chirivì, Rocco 1 Dashora, Yogesh 1 Duflo, Michel 1 Eltayeb, Ibrahim A. 1 Forrester, Peter J. 1 Garg, R. B. 1 Ginzburg, Victor 1 Graham, William A. 1 Guhr, Thomas 1 Guruprasad, Krishnamurthi 1 Ipsen, Jesper R. 1 Jain, Sushil Kumar 1 Jensen, Iwan 1 Kapovich, Michael 1 Kapur, P. K. 1 Khan, M. J. S. 1 Khanduja, Sudesh K. 1 Khedker, Uday P. 1 Kishor, B. 1 Kishor, Kamal 1 Kohli, Jogender K. 1 Kureel, B. K. 1 Lacy, Thomas E. 1 Lal, G. K. 1 Landsberg, Joseph Montague 1 Lauritzen, Niels 1 Leeb, Bernhard 1 Letzter, Gail 1 Lusztig, George 1 Maffei, Andrea 1 Mehta, Vikram Bhagvandas 1 Neeb, Karl-Hermann 1 Newman, Stephen T. 1 Nock, A. 1 Nori, Madhav V. 1 Pande, Sarang S. 1 Pandey, G. K. 1 Prasad, J. K. 1 Probst, Oliver 1 Procesi, Claudio 1 Rai, B. C. 1 Ramanathan, Annamalai 1 Reddy, Junuthula Narasimha 1 Ressayre, Nicolas 1 Rimányi, Richárd 1 Rogers, Sean 1 Saha Ray, Santanu 1 Sarswat, Renu 1 Schwede, Karl E. 1 Shah, Punit 1 Shanker, Kripa 1 Sharma, Veena 1 Singh, Chandra Veer 1 Sommers, Hans-Jürgen 1 Stembridge, John R. 1 Sturtevant, Bradford 1 Swroop, Ram 1 Upadhyaya, Priyank 1 Vashistha, Sachin 1 Venkatesh, R. 1 Wahid, Nur H. A. A. 1 Weber, Andrzej 1 Zeephongsekul, Panlop
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Serials

 12 Mathematische Annalen 7 Journal of Algebra 6 Inventiones Mathematicae 5 IMRN. International Mathematics Research Notices 5 Transformation Groups 4 International Journal of Modern Physics A 4 International Journal of Production Research 3 IEEE Transactions on Reliability 3 Oberwolfach Reports 2 Advances in Mathematics 2 Commentarii Mathematici Helvetici 2 Compositio Mathematica 2 Acta Mathematica Hungarica 2 Proceedings of the National Academy of Sciences of the United States of America 2 Ultra Scientist of Physical Sciences 2 Progress in Mathematics 1 Modern Physics Letters A 1 Modern Physics Letters B 1 International Journal of Modern Physics B 1 Astrophysics and Space Science 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 Journal of Fluid Mechanics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Journal of Differential Geometry 1 Journal of Pure and Applied Algebra 1 Jnanabha 1 Pacific Journal of Mathematics 1 Topology 1 Trabajos de Estadistica y de Investigacion Operativa 1 Journal of Information & Optimization Sciences 1 Applied Mathematics and Mechanics. (English Edition) 1 Bulletin of the Iranian Mathematical Society 1 Journal of the Nigerian Mathematical Society 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Differential Geometry and its Applications 1 Annals of Physics 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Experimental Mathematics 1 Journal of Algebraic Geometry 1 Physics of Fluids 1 European Mathematical Society Newsletter 1 Representation Theory 1 European Journal of Mechanics. A. Solids 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Rajasthan Academy of Physical Sciences 1 International Journal of Flexible Manufacturing Systems 1 International Journal of Applied Mathematics and Mechanics 1 Pure and Applied Mathematics Quarterly 1 Astérisque 1 New Mathematical Monographs 1 Advances in High Energy Physics 1 ProbStat Forum 1 Caspian Journal of Mathematical Sciences 1 Mathematical Sciences 1 Iranian Journal of Numerical Analysis and Optimization
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Fields

 51 Algebraic geometry (14-XX) 47 Nonassociative rings and algebras (17-XX) 29 Group theory and generalizations (20-XX) 25 Topological groups, Lie groups (22-XX) 10 Manifolds and cell complexes (57-XX) 10 Operations research, mathematical programming (90-XX) 9 Fluid mechanics (76-XX) 9 Quantum theory (81-XX) 8 Computer science (68-XX) 7 Algebraic topology (55-XX) 6 $$K$$-theory (19-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Combinatorics (05-XX) 4 Commutative algebra (13-XX) 4 Differential geometry (53-XX) 4 Statistics (62-XX) 4 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 3 Associative rings and algebras (16-XX) 3 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)

Citations contained in zbMATH Open

89 Publications have been cited 1,174 times in 831 Documents Cited by Year
Kac-Moody groups, their flag varieties and representation theory. Zbl 1026.17030
Kumar, Shrawan
2002
Frobenius splitting methods in geometry and representation theory. Zbl 1072.14066
Brion, Michel; Kumar, Shrawan
2005
The nil Hecke ring and cohomology of $$G/P$$ for a Kac-Moody group $$G$$. Zbl 0641.17008
Kostant, Bertram; Kumar, Shrawan
1986
T-equivariant K-theory of generalized flag varieties. Zbl 0731.55005
Kostant, Bertram; Kumar, Shrawan
1990
Demazure character formula in arbitrary Kac-Moody setting. Zbl 0635.14023
Kumar, Shrawan
1987
Cohomology of quantum groups at roots of unity. Zbl 0774.17013
Ginzburg, Victor; Kumar, Shrawan
1993
Proof of the Parthasarathy-Ranga Rao-Varadarajan conjecture. Zbl 0668.17008
Kumar, Shrawan
1988
Infinite Grassmannians and moduli spaces of $$G$$-bundles. Zbl 0803.14012
Kumar, Shrawan; Narasimhan, M. S.; Ramanathan, A.
1994
Eigenvalue problem and a new product in cohomology of flag varieties. Zbl 1106.14037
Belkale, Prakash; Kumar, Shrawan
2006
Frobenius splitting of cotangent bundles of flag varieties. Zbl 0959.14031
Kumar, Shrawan; Lauritzen, Niels; Thomsen, Jesper Funch
1999
The nil Hecke ring and singularity of Schubert varieties. Zbl 0863.14031
Kumar, Shrawan
1996
Picard group of the moduli spaces of $$G$$-bundles. Zbl 0884.14004
Kumar, Shrawan; Narasimhan, M. S.
1997
Contributions to hardware and software reliability. Zbl 0979.68005
Kapur, P. K.; Garg, R. B.; Kumar, S.
1999
Eigencone, saturation and Horn problems for symplectic and odd orthogonal groups. Zbl 1233.20040
Belkale, Prakash; Kumar, Shrawan
2010
Tensor product decomposition. Zbl 1236.22012
Kumar, Shrawan
2011
Hydromagnetic convective instability of a rotating, self-gravitating fluid sphere containing a uniform distribution of heat sources. Zbl 0392.76040
Eltayeb, I. A.; Kumar, S.
1977
The late-time development of the Richtmyer-Meshkov instability. Zbl 1184.76434
Prasad, J. K.; Rasheed, A.; Kumar, S.; Sturtevant, B.
2000
Extension of the category $${\mathcal O}^ g$$ and a vanishing theorem for the Ext functor for Kac-Moody algebras. Zbl 0625.17009
Kumar, Shrawan
1987
Algebraization of Frobenius splitting via quantum groups. Zbl 1078.14074
Kumar, Shrawan; Littelmann, Peter
2002
Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups. Zbl 1160.20037
Kumar, Shrawan; Lusztig, George; Prasad, Dipendra
2009
The nil Hecke ring and cohomology of $$G/P$$ for a Kac-Moody group $$G$$. Zbl 0588.17012
Kostant, Bertram; Kumar, Shrawan
1986
On positivity in $$T$$-equivariant $$K$$-theory of flag varieties. Zbl 1185.14043
Graham, William; Kumar, Shrawan
2008
A study of the representations supported by the orbit closure of the determinant. Zbl 1328.14077
Kumar, Shrawan
2015
The eigencone and saturation for Spin(8). Zbl 1188.20045
Kapovich, Michael; Kumar, Shrawan; Millson, John J.
2009
A refinement of the PRV conjecture. Zbl 0691.17004
Kumar, Shrawan
1989
$$T$$-equivariant $$K$$-theory of generalized flag varieties. Zbl 0624.55007
Kostant, Bertram; Kumar, Shrawan
1987
Descent of line bundles to GIT quotients of flag varieties by maximal torus. Zbl 1203.14051
Kumar, Shrawan
2008
Proof of Wahl’s conjecture on surjectivity of the Gaussian map for flag varieties. Zbl 0790.14015
Kumar, Shrawan
1992
Induction functor in noncommutative equivariant cohomology and Dirac cohomology. Zbl 1090.22007
Kumar, Shrawan
2005
The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type. Zbl 1044.22009
Kumar, Shrawan; Leeb, Bernhard; Millson, John
2003
Geometry of orbits of permanents and determinants. Zbl 1283.14019
Kumar, Shrawan
2013
A conjectural presentation of fusion algebras. Zbl 1221.17008
Boysal, Arzu; Kumar, Shrawan
2009
A survey of the additive eigenvalue problem (with Appendix by M. Kapovich). Zbl 1354.14074
Kumar, Shrawan
2014
Finiteness of the number of compatibly split subvarieties. Zbl 1183.13006
Kumar, Shrawan; Mehta, Vikram B.
2009
Dimension of zero weight space: an algebro-geometric approach. Zbl 1300.22008
2014
Bernstein-Gelfand-Gelfand resolution for arbitrary Kac-Moody algebras. Zbl 0703.17016
Kumar, Shrawan
1990
Frobenius splitting in characteristic zero and the quantum Frobenius map. Zbl 0977.17008
Kumar, Shrawan; Littelmann, Peter
2000
The multiplicative eigenvalue problem and deformed quantum cohomology. Zbl 1329.81177
Belkale, Prakash; Kumar, Shrawan
2016
A homology vanishing theorem for Kac-Moody algebras with coefficients in the category $$\mathcal O$$. Zbl 0633.17012
Kumar, Shrawan
1986
(Anti-)chiral supervariable approach to nilpotent and absolutely anticommuting conserved charges of reparametrization invariant theories: a couple of relativistic toy models as examples. Zbl 1396.81202
Kumar, S.; Chauhan, B.; Malik, R. P.
2018
Critical path problem under assignment constraint - an application of an extreme point mathematical programming problem. Zbl 0462.90043
Chandrasekaran, R.; Kumar, S.; Wagner, D.
1980
Toward proof of Lusztig’s conjecture concerning negative level representations of affine Lie algebras. Zbl 0812.17022
Kumar, Shrawan
1994
Homology of certain truncated Lie algebras. Zbl 0969.17011
Kumar, Shrawan
1999
Infinite Grassmannians and moduli spaces of $$G$$-bundles. Zbl 0884.14021
Kumar, Shrawan
1997
Representations of quantum groups at roots of unity. Zbl 0883.17017
Kumar, Shrawan
1994
An algebro-geometric realization of equivariant cohomology of some Springer fibers. Zbl 1268.14046
Kumar, Shrawan; Procesi, Claudio
2012
Connections between conjectures of Alon-Tarsi, Hadamard-Howe, and integrals over the special unitary group. Zbl 1309.05036
Kumar, Shrawan; Landsberg, J. M.
2015
A remark on universal connections. Zbl 0476.55019
Kumar, Shrawan
1982
Positivity of the cup product in cohomology of flag varieties associated to Kac-Moody groups. Zbl 1014.17023
1998
Finiteness of local fundamental groups for quotients of affine varieties under reductive groups. Zbl 0799.14005
Kumar, Shrawan
1993
A new geometric invariant associated to the space of flat connections. Zbl 0698.53016
1990
Kernel distance-based robust support vector method and its application in developing a robust K-chart. Zbl 1095.62137
Kumar, S.; Choudhary, A. K.; Kumar, M.; Shankar, R.; Tiwari, M. K.
2006
Special isogenies and tensor product multiplicities. Zbl 1133.22004
Kumar, Shrawan; Stembridge, John R.
2007
Positivity in $$T$$-equivariant $$K$$-theory of flag varieties associated to Kac-Moody groups. II. Zbl 1390.19010
Baldwin, Seth; Kumar, Shrawan
2017
Positivity in $$T$$-equivariant $$K$$-theory of flag varieties associated to Kac-Moody groups. Zbl 1372.19005
Kumar, Shrawan
2017
A generalization of Fulton’s conjecture for arbitrary groups. Zbl 1258.14008
Belkale, Prakash; Kumar, Shrawan; Ressayre, Nicolas
2012
Flow past a rotationally oscillating cylinder. Zbl 1294.76027
Kumar, S.; Lopez, C.; Probst, O.; Francisco, G.; Askari, D.; Yang, Y.
2013
Modified 2D Proca theory: revisited under BRST and (anti-)chiral superfield formalisms. Zbl 1434.81058
Chauhan, B.; Kumar, S.; Tripathi, A.; Malik, R. P.
2020
Frobenius splitting of Hilbert schemes of points on surfaces. Zbl 1065.14502
Kumar, Shrawan; Thomsen, Jesper Funch
2001
Distributions of off-diagonal scattering matrix elements: Exact results. Zbl 1342.81648
Nock, A.; Kumar, S.; Sommers, H.-J.; Guhr, T.
2014
Representation ring of Levi subgroups versus cohomology ring of flag varieties. Zbl 1359.14044
Kumar, Shrawan
2016
On the equivariant cohomology of differentiable manifolds. (I: M. Duflo and M. Vergne, Equivariant cohomology and descent. II: S. Kumar and M. Vergne, Equivariant cohomology with generalized coefficients). (Sur la cohomologie équivariante des variétés différentiables. (I: M. Duflo et M. Vergne, Cohomologie équivariante et descente. II: S. Kumar and M. Vergne, Equivariant cohomology with generalized coefficients).) Zbl 0830.57001
Duflo, Michel; Kumar, Shrawan; Vergne, Michèle
1993
The nil Hecke ring and singularity of Schubert varieties. Zbl 0856.14017
Kumar, Shrawan
1994
Shapovalov determinant for restricted and quantized restricted enveloping algebras. Zbl 0965.17006
Kumar, Shrawan; Letzter, Gail
1997
Equivariant analogue of Grothendieck’s theorem for vector bundles on $$\mathbb{P}^1$$. Zbl 1054.14528
Kumar, Shrawan
2003
(anti-)chiral superfield approach to interacting abelian 1-form gauge theories: nilpotent and absolutely anticommuting charges. Zbl 1382.81138
Chauhan, B.; Kumar, S.; Malik, R. P.
2018
Effective gravitational mass of the Ayón-Beato and García metric. Zbl 1320.83028
Sinha, A. K.; Pandey, G. K.; Bhaskar, A. K.; Rai, B. C.; Jha, A. K.; Kumar, S.
2015
Rational homotopy theory of flag varieties associated to Kac-Moody groups. Zbl 0612.22009
Kumar, Shrawan
1985
On the Cachazo-Douglas-Seiberg-Witten conjecture for simple Lie algebras. Zbl 1213.17011
Kumar, Shrawan
2008
Elliptic classes of Schubert varieties. Zbl 1456.14060
Kumar, Shrawan; Rimányi, Richárd; Weber, Andrzej
2020
Preserving properties and pre-Schwarzian norms of nonlinear integral transforms. Zbl 07301175
Kumar, S.; Sahoo, S. K.
2020
Multiscale modeling of strength and failure behavior of carbon nanostructure reinforced epoxy composite adhesives in bonded systems. Zbl 07173585
Upadhyaya, Priyank; Kumar, S.; Reddy, J. N.; Lacy, Thomas E.
2020
A complete set of intertwiners for arbitrary tensor product representations via current algebras. Zbl 1468.17016
Kumar, Shrawan
2019
Cohomology algebra of Schubert varieties associated to Kac-Moody groups. Zbl 0591.14037
Kumar, Shrawan
1986
A new realization of the cohomology of Springer fibers. Zbl 1081.14068
Kumar, Shrawan; Thomsen, Jesper Funch
2004
Explicit determination of the Picard group of moduli spaces of semistable $$G$$-bundles on curves. Zbl 1092.14040
Boysal, Arzu; Kumar, Shrawan
2005
Proof of Wahl’s conjecture on surjectivity of the Gaussian map for flag varieties. Zbl 0795.14027
Kumar, Shrawan
1991
A feature recognition methodology for extrudable product shapes. Zbl 0949.90557
Kumar, S.; Shanker, K.; Lal, G. K.
1999
Maximum reliability route subject to k-improvements in a directed network. Zbl 0356.94034
Bansal, S. P.; Kumar, S.
1977
Fusion product of positive level representations and Lie algebra homology. Zbl 0874.17029
Kumar, Shrawan
1997
Expert enhanced coloured stochastic Petri net and its application in assembly/disassembly. Zbl 1052.90522
Kumar, S.; Kumar, R.; Shankar, R.; Tiwari, M. K.
2003
Extensions of algebraic groups. Zbl 1097.20039
Kumar, Shrawan; Neeb, Karl-Hermann
2006
Deadlock-free scheduling of an automated manufacturing system using an enhanced colored time resource Petri-net model-based evolutionary endosymbiotic learning automata approach. Zbl 1147.90343
Dashora, Y.; Kumar, S.; Tiwari, M. K.; Newman, S. T.
2007
Components of $$V(\rho)\otimes V(\rho)$$. Zbl 1422.17010
Chirivì, Rocco; Kumar, Shrawan; Maffei, Andrea
2017
A generalization of Cachazo-Douglas-Seiberg-Witten conjecture for symmetric spaces. Zbl 1230.17006
Kumar, Shrawan
2010
Non-representability of cohomology classes by bi-invariant forms (gauge and Kac-Moody groups). Zbl 0615.57025
Kumar, Shrawan
1986
The instability of streaming Walters’ (model B’) fluids in porous medium in hydromagnetics. Zbl 1431.76126
Kumar, S.
2011
Lie symmetry analysis and dynamical structures of soliton solutions for the $$(2+1)$$-dimensional modified CBS equation. Zbl 1451.35167
Kumar, S.; Kumar, D.
2020
Richardson varieties have Kawamata log terminal singularities. Zbl 1466.14054
Kumar, Shrawan; Schwede, Karl
2014
Modified 2D Proca theory: revisited under BRST and (anti-)chiral superfield formalisms. Zbl 1434.81058
Chauhan, B.; Kumar, S.; Tripathi, A.; Malik, R. P.
2020
Elliptic classes of Schubert varieties. Zbl 1456.14060
Kumar, Shrawan; Rimányi, Richárd; Weber, Andrzej
2020
Preserving properties and pre-Schwarzian norms of nonlinear integral transforms. Zbl 07301175
Kumar, S.; Sahoo, S. K.
2020
Multiscale modeling of strength and failure behavior of carbon nanostructure reinforced epoxy composite adhesives in bonded systems. Zbl 07173585
Upadhyaya, Priyank; Kumar, S.; Reddy, J. N.; Lacy, Thomas E.
2020
Lie symmetry analysis and dynamical structures of soliton solutions for the $$(2+1)$$-dimensional modified CBS equation. Zbl 1451.35167
Kumar, S.; Kumar, D.
2020
A complete set of intertwiners for arbitrary tensor product representations via current algebras. Zbl 1468.17016
Kumar, Shrawan
2019
(Anti-)chiral supervariable approach to nilpotent and absolutely anticommuting conserved charges of reparametrization invariant theories: a couple of relativistic toy models as examples. Zbl 1396.81202
Kumar, S.; Chauhan, B.; Malik, R. P.
2018
(anti-)chiral superfield approach to interacting abelian 1-form gauge theories: nilpotent and absolutely anticommuting charges. Zbl 1382.81138
Chauhan, B.; Kumar, S.; Malik, R. P.
2018
Positivity in $$T$$-equivariant $$K$$-theory of flag varieties associated to Kac-Moody groups. II. Zbl 1390.19010
Baldwin, Seth; Kumar, Shrawan
2017
Positivity in $$T$$-equivariant $$K$$-theory of flag varieties associated to Kac-Moody groups. Zbl 1372.19005
Kumar, Shrawan
2017
Components of $$V(\rho)\otimes V(\rho)$$. Zbl 1422.17010
Chirivì, Rocco; Kumar, Shrawan; Maffei, Andrea
2017
The multiplicative eigenvalue problem and deformed quantum cohomology. Zbl 1329.81177
Belkale, Prakash; Kumar, Shrawan
2016
Representation ring of Levi subgroups versus cohomology ring of flag varieties. Zbl 1359.14044
Kumar, Shrawan
2016
A study of the representations supported by the orbit closure of the determinant. Zbl 1328.14077
Kumar, Shrawan
2015
Connections between conjectures of Alon-Tarsi, Hadamard-Howe, and integrals over the special unitary group. Zbl 1309.05036
Kumar, Shrawan; Landsberg, J. M.
2015
Effective gravitational mass of the Ayón-Beato and García metric. Zbl 1320.83028
Sinha, A. K.; Pandey, G. K.; Bhaskar, A. K.; Rai, B. C.; Jha, A. K.; Kumar, S.
2015
A survey of the additive eigenvalue problem (with Appendix by M. Kapovich). Zbl 1354.14074
Kumar, Shrawan
2014
Dimension of zero weight space: an algebro-geometric approach. Zbl 1300.22008
2014
Distributions of off-diagonal scattering matrix elements: Exact results. Zbl 1342.81648
Nock, A.; Kumar, S.; Sommers, H.-J.; Guhr, T.
2014
Richardson varieties have Kawamata log terminal singularities. Zbl 1466.14054
Kumar, Shrawan; Schwede, Karl
2014
Geometry of orbits of permanents and determinants. Zbl 1283.14019
Kumar, Shrawan
2013
Flow past a rotationally oscillating cylinder. Zbl 1294.76027
Kumar, S.; Lopez, C.; Probst, O.; Francisco, G.; Askari, D.; Yang, Y.
2013
An algebro-geometric realization of equivariant cohomology of some Springer fibers. Zbl 1268.14046
Kumar, Shrawan; Procesi, Claudio
2012
A generalization of Fulton’s conjecture for arbitrary groups. Zbl 1258.14008
Belkale, Prakash; Kumar, Shrawan; Ressayre, Nicolas
2012
Tensor product decomposition. Zbl 1236.22012
Kumar, Shrawan
2011
The instability of streaming Walters’ (model B’) fluids in porous medium in hydromagnetics. Zbl 1431.76126
Kumar, S.
2011
Eigencone, saturation and Horn problems for symplectic and odd orthogonal groups. Zbl 1233.20040
Belkale, Prakash; Kumar, Shrawan
2010
A generalization of Cachazo-Douglas-Seiberg-Witten conjecture for symmetric spaces. Zbl 1230.17006
Kumar, Shrawan
2010
Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups. Zbl 1160.20037
Kumar, Shrawan; Lusztig, George; Prasad, Dipendra
2009
The eigencone and saturation for Spin(8). Zbl 1188.20045
Kapovich, Michael; Kumar, Shrawan; Millson, John J.
2009
A conjectural presentation of fusion algebras. Zbl 1221.17008
Boysal, Arzu; Kumar, Shrawan
2009
Finiteness of the number of compatibly split subvarieties. Zbl 1183.13006
Kumar, Shrawan; Mehta, Vikram B.
2009
On positivity in $$T$$-equivariant $$K$$-theory of flag varieties. Zbl 1185.14043
Graham, William; Kumar, Shrawan
2008
Descent of line bundles to GIT quotients of flag varieties by maximal torus. Zbl 1203.14051
Kumar, Shrawan
2008
On the Cachazo-Douglas-Seiberg-Witten conjecture for simple Lie algebras. Zbl 1213.17011
Kumar, Shrawan
2008
Special isogenies and tensor product multiplicities. Zbl 1133.22004
Kumar, Shrawan; Stembridge, John R.
2007
Deadlock-free scheduling of an automated manufacturing system using an enhanced colored time resource Petri-net model-based evolutionary endosymbiotic learning automata approach. Zbl 1147.90343
Dashora, Y.; Kumar, S.; Tiwari, M. K.; Newman, S. T.
2007
Eigenvalue problem and a new product in cohomology of flag varieties. Zbl 1106.14037
Belkale, Prakash; Kumar, Shrawan
2006
Kernel distance-based robust support vector method and its application in developing a robust K-chart. Zbl 1095.62137
Kumar, S.; Choudhary, A. K.; Kumar, M.; Shankar, R.; Tiwari, M. K.
2006
Extensions of algebraic groups. Zbl 1097.20039
Kumar, Shrawan; Neeb, Karl-Hermann
2006
Frobenius splitting methods in geometry and representation theory. Zbl 1072.14066
Brion, Michel; Kumar, Shrawan
2005
Induction functor in noncommutative equivariant cohomology and Dirac cohomology. Zbl 1090.22007
Kumar, Shrawan
2005
Explicit determination of the Picard group of moduli spaces of semistable $$G$$-bundles on curves. Zbl 1092.14040
Boysal, Arzu; Kumar, Shrawan
2005
A new realization of the cohomology of Springer fibers. Zbl 1081.14068
Kumar, Shrawan; Thomsen, Jesper Funch
2004
The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type. Zbl 1044.22009
Kumar, Shrawan; Leeb, Bernhard; Millson, John
2003
Equivariant analogue of Grothendieck’s theorem for vector bundles on $$\mathbb{P}^1$$. Zbl 1054.14528
Kumar, Shrawan
2003
Expert enhanced coloured stochastic Petri net and its application in assembly/disassembly. Zbl 1052.90522
Kumar, S.; Kumar, R.; Shankar, R.; Tiwari, M. K.
2003
Kac-Moody groups, their flag varieties and representation theory. Zbl 1026.17030
Kumar, Shrawan
2002
Algebraization of Frobenius splitting via quantum groups. Zbl 1078.14074
Kumar, Shrawan; Littelmann, Peter
2002
Frobenius splitting of Hilbert schemes of points on surfaces. Zbl 1065.14502
Kumar, Shrawan; Thomsen, Jesper Funch
2001
The late-time development of the Richtmyer-Meshkov instability. Zbl 1184.76434
Prasad, J. K.; Rasheed, A.; Kumar, S.; Sturtevant, B.
2000
Frobenius splitting in characteristic zero and the quantum Frobenius map. Zbl 0977.17008
Kumar, Shrawan; Littelmann, Peter
2000
Frobenius splitting of cotangent bundles of flag varieties. Zbl 0959.14031
Kumar, Shrawan; Lauritzen, Niels; Thomsen, Jesper Funch
1999
Contributions to hardware and software reliability. Zbl 0979.68005
Kapur, P. K.; Garg, R. B.; Kumar, S.
1999
Homology of certain truncated Lie algebras. Zbl 0969.17011
Kumar, Shrawan
1999
A feature recognition methodology for extrudable product shapes. Zbl 0949.90557
Kumar, S.; Shanker, K.; Lal, G. K.
1999
Positivity of the cup product in cohomology of flag varieties associated to Kac-Moody groups. Zbl 1014.17023
1998
Picard group of the moduli spaces of $$G$$-bundles. Zbl 0884.14004
Kumar, Shrawan; Narasimhan, M. S.
1997
Infinite Grassmannians and moduli spaces of $$G$$-bundles. Zbl 0884.14021
Kumar, Shrawan
1997
Shapovalov determinant for restricted and quantized restricted enveloping algebras. Zbl 0965.17006
Kumar, Shrawan; Letzter, Gail
1997
Fusion product of positive level representations and Lie algebra homology. Zbl 0874.17029
Kumar, Shrawan
1997
The nil Hecke ring and singularity of Schubert varieties. Zbl 0863.14031
Kumar, Shrawan
1996
Infinite Grassmannians and moduli spaces of $$G$$-bundles. Zbl 0803.14012
Kumar, Shrawan; Narasimhan, M. S.; Ramanathan, A.
1994
Toward proof of Lusztig’s conjecture concerning negative level representations of affine Lie algebras. Zbl 0812.17022
Kumar, Shrawan
1994
Representations of quantum groups at roots of unity. Zbl 0883.17017
Kumar, Shrawan
1994
The nil Hecke ring and singularity of Schubert varieties. Zbl 0856.14017
Kumar, Shrawan
1994
Cohomology of quantum groups at roots of unity. Zbl 0774.17013
Ginzburg, Victor; Kumar, Shrawan
1993
Finiteness of local fundamental groups for quotients of affine varieties under reductive groups. Zbl 0799.14005
Kumar, Shrawan
1993
On the equivariant cohomology of differentiable manifolds. (I: M. Duflo and M. Vergne, Equivariant cohomology and descent. II: S. Kumar and M. Vergne, Equivariant cohomology with generalized coefficients). (Sur la cohomologie équivariante des variétés différentiables. (I: M. Duflo et M. Vergne, Cohomologie équivariante et descente. II: S. Kumar and M. Vergne, Equivariant cohomology with generalized coefficients).) Zbl 0830.57001
Duflo, Michel; Kumar, Shrawan; Vergne, Michèle
1993
Proof of Wahl’s conjecture on surjectivity of the Gaussian map for flag varieties. Zbl 0790.14015
Kumar, Shrawan
1992
Proof of Wahl’s conjecture on surjectivity of the Gaussian map for flag varieties. Zbl 0795.14027
Kumar, Shrawan
1991
T-equivariant K-theory of generalized flag varieties. Zbl 0731.55005
Kostant, Bertram; Kumar, Shrawan
1990
Bernstein-Gelfand-Gelfand resolution for arbitrary Kac-Moody algebras. Zbl 0703.17016
Kumar, Shrawan
1990
A new geometric invariant associated to the space of flat connections. Zbl 0698.53016
1990
A refinement of the PRV conjecture. Zbl 0691.17004
Kumar, Shrawan
1989
Proof of the Parthasarathy-Ranga Rao-Varadarajan conjecture. Zbl 0668.17008
Kumar, Shrawan
1988
Demazure character formula in arbitrary Kac-Moody setting. Zbl 0635.14023
Kumar, Shrawan
1987
Extension of the category $${\mathcal O}^ g$$ and a vanishing theorem for the Ext functor for Kac-Moody algebras. Zbl 0625.17009
Kumar, Shrawan
1987
$$T$$-equivariant $$K$$-theory of generalized flag varieties. Zbl 0624.55007
Kostant, Bertram; Kumar, Shrawan
1987
The nil Hecke ring and cohomology of $$G/P$$ for a Kac-Moody group $$G$$. Zbl 0641.17008
Kostant, Bertram; Kumar, Shrawan
1986
The nil Hecke ring and cohomology of $$G/P$$ for a Kac-Moody group $$G$$. Zbl 0588.17012
Kostant, Bertram; Kumar, Shrawan
1986
A homology vanishing theorem for Kac-Moody algebras with coefficients in the category $$\mathcal O$$. Zbl 0633.17012
Kumar, Shrawan
1986
Cohomology algebra of Schubert varieties associated to Kac-Moody groups. Zbl 0591.14037
Kumar, Shrawan
1986
Non-representability of cohomology classes by bi-invariant forms (gauge and Kac-Moody groups). Zbl 0615.57025
Kumar, Shrawan
1986
Rational homotopy theory of flag varieties associated to Kac-Moody groups. Zbl 0612.22009
Kumar, Shrawan
1985
A remark on universal connections. Zbl 0476.55019
Kumar, Shrawan
1982
Critical path problem under assignment constraint - an application of an extreme point mathematical programming problem. Zbl 0462.90043
Chandrasekaran, R.; Kumar, S.; Wagner, D.
1980
Hydromagnetic convective instability of a rotating, self-gravitating fluid sphere containing a uniform distribution of heat sources. Zbl 0392.76040
Eltayeb, I. A.; Kumar, S.
1977
Maximum reliability route subject to k-improvements in a directed network. Zbl 0356.94034
Bansal, S. P.; Kumar, S.
1977
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Cited by 807 Authors

 27 Kumar, Shrawan 14 Lam, Thomas F. 12 Schwede, Karl E. 11 Feigin, Evgeny 11 Ressayre, Nicolas 11 Shimozono, Mark 10 Belkale, Prakash 10 Nakano, Daniel K. 9 Kannan, Subramaniam Senthamarai 9 Lakshmibai, Venkatramani 9 Zainoulline, Kirill 8 Achar, Pramod N. 8 Bezrukavnikov, Roman 8 Biswas, Indranil 8 Richmond, Edward 8 Yong, Alexander 7 Billey, Sara C. 7 Brion, Michel 7 He, Xuhua 7 Manon, Christopher 7 Naito, Satoshi 7 Riche, Simon 6 Skovsted Buch, Anders 6 Evens, Sam 6 Finkelberg, Michael Vladlenovich 6 Ikeda, Takeshi 6 Joseph, Anthony 6 Littelmann, Peter 6 Mihalcea, Leonardo Constantin 6 Naruse, Hiroshi 6 Williamson, Geordie 6 Zhong, Changlong 5 Bendel, Christopher P. 5 Chari, Vyjayanthi 5 Cherednik, Ivan V. 5 Feĭgin, Boris L’vovich 5 Funch Thomsen, Jesper 5 Ginzburg, Victor 5 Haines, Thomas J. 5 Ikenmeyer, Christian 5 Kato, Syu 5 Khare, Apoorva 5 Knutson, Allen 5 Lu, Jiang-Hua 5 Maffei, Andrea 5 Mukhopadhyay, Swarnava 5 Papi, Paolo 5 Perrin, Nicolas 5 Pillen, Cornelius 5 Sagaki, Daisuke 5 Tange, Rudolf 5 Tucker, Kevin 5 Witherspoon, Sarah J. 4 Arkhipov, Sergey M. 4 Calmès, Baptiste 4 Cheng, Shun-Jen 4 Creutzig, Thomas 4 Drupieski, Christopher M. 4 Fiebig, Peter 4 Gandini, Jacopo 4 Gaussent, Stéphane 4 Gibney, Angela 4 Graham, William A. 4 Hague, Chuck 4 Kashiwara, Masaki 4 Katzman, Mordechai 4 Kitchloo, Nitu 4 Kus, Deniz 4 Lam, Ngau 4 Lauda, Aaron D. 4 Lee, Seungjin 4 Li, Changzheng 4 Mathieu, Olivier 4 Morse, Jennifer 4 Möseneder Frajria, Pierluigi 4 Muthiah, Dinakar 4 Nakashima, Toshiki 4 Pandžić, Pavle 4 Parshall, Brian J. 4 Pasquier, Boris 4 Ram, Arun 4 Sam, Steven V. 4 Slofstra, William 4 Speyer, David E. 4 Teleman, Constantin 4 Vasserot, Eric 4 Weyman, Jerzy M. 3 Anderson, Dave Edward 3 Bossard, Guillaume 3 Boysal, Arzu 3 Braverman, Alexander 3 Bürgisser, Peter 3 Chirivì, Rocco 3 Douglas, Christopher L. 3 Duan, Haibao 3 Fink, Alex 3 Fourier, Ghislain 3 Freed, Daniel Stuart 3 Geiss, Christof 3 Gros, Michel ...and 707 more Authors
all top 5

Cited in 132 Serials

 93 Journal of Algebra 80 Advances in Mathematics 51 Transformation Groups 37 Transactions of the American Mathematical Society 29 Duke Mathematical Journal 26 Mathematische Zeitschrift 23 Journal of Pure and Applied Algebra 22 Compositio Mathematica 22 Representation Theory 20 Mathematische Annalen 18 Proceedings of the American Mathematical Society 17 Communications in Mathematical Physics 17 Inventiones Mathematicae 16 Annales de l’Institut Fourier 15 Journal of Algebraic Combinatorics 15 Algebras and Representation Theory 12 Communications in Algebra 12 Journal of the American Mathematical Society 11 Selecta Mathematica. New Series 8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 8 Functional Analysis and its Applications 8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 8 Journal of Algebraic Geometry 7 Journal of Mathematical Physics 7 Manuscripta Mathematica 6 Letters in Mathematical Physics 6 Journal of Combinatorial Theory. Series A 6 Journal für die Reine und Angewandte Mathematik 6 European Journal of Combinatorics 6 Annals of Mathematics. Second Series 6 Journal of the European Mathematical Society (JEMS) 5 Israel Journal of Mathematics 5 Journal of Geometry and Physics 5 Acta Mathematica 5 Geometriae Dedicata 5 Memoirs of the American Mathematical Society 5 Michigan Mathematical Journal 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Journal of the Institute of Mathematics of Jussieu 4 Discrete Mathematics 4 Bulletin of the American Mathematical Society. New Series 4 Indagationes Mathematicae. New Series 4 Experimental Mathematics 4 Journal of Mathematical Sciences (New York) 4 The Electronic Journal of Combinatorics 4 Journal of High Energy Physics 4 Journal of Commutative Algebra 3 Arkiv för Matematik 3 Nagoya Mathematical Journal 3 Journal of Symbolic Computation 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Central European Journal of Mathematics 3 Algebra & Number Theory 3 Forum of Mathematics, Pi 3 Research in the Mathematical Sciences 3 European Journal of Mathematics 3 Journal de l’École Polytechnique – Mathématiques 2 Archiv der Mathematik 2 Bulletin de la Société Mathématique de France 2 Canadian Journal of Mathematics 2 International Journal of Mathematics and Mathematical Sciences 2 Osaka Journal of Mathematics 2 Transactions of the Moscow Mathematical Society 2 Annals of Global Analysis and Geometry 2 International Journal of Mathematics 2 Differential Geometry and its Applications 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the National Academy of Sciences of the United States of America 2 Computational Complexity 2 Journal of Lie Theory 2 Séminaire Lotharingien de Combinatoire 2 Journal of Algebra and its Applications 2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 Journal of Noncommutative Geometry 2 Forum of Mathematics, Sigma 2 Arnold Mathematical Journal 1 International Journal of Modern Physics A 1 Bulletin of the Australian Mathematical Society 1 Mathematical Notes 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Beiträge zur Algebra und Geometrie 1 The Annals of Statistics 1 Illinois Journal of Mathematics 1 Journal of Functional Analysis 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Ricerche di Matematica 1 Tohoku Mathematical Journal. Second Series 1 Topology and its Applications 1 Advances in Applied Mathematics 1 Bulletin of the Korean Mathematical Society 1 Acta Mathematica Hungarica 1 Journal of the Ramanujan Mathematical Society 1 International Journal of Algebra and Computation 1 Expositiones Mathematicae ...and 32 more Serials
all top 5

Cited in 37 Fields

 465 Algebraic geometry (14-XX) 294 Nonassociative rings and algebras (17-XX) 245 Group theory and generalizations (20-XX) 107 Topological groups, Lie groups (22-XX) 105 Combinatorics (05-XX) 75 Commutative algebra (13-XX) 74 Associative rings and algebras (16-XX) 51 Quantum theory (81-XX) 46 Algebraic topology (55-XX) 44 $$K$$-theory (19-XX) 38 Manifolds and cell complexes (57-XX) 29 Category theory; homological algebra (18-XX) 26 Differential geometry (53-XX) 20 Number theory (11-XX) 19 Several complex variables and analytic spaces (32-XX) 18 Global analysis, analysis on manifolds (58-XX) 14 Special functions (33-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 10 Geometry (51-XX) 10 Convex and discrete geometry (52-XX) 9 Computer science (68-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Functional analysis (46-XX) 4 Functions of a complex variable (30-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Abstract harmonic analysis (43-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Relativity and gravitational theory (83-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Partial differential equations (35-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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