Edit Profile (opens in new tab) Lakshmibai, Venkatramani Co-Author Distance Author ID: lakshmibai.venkatramani Published as: Lakshmibai, V.; Lakshmibai, Venkatramani; Lakshmi Bai, V. more...less External Links: MGP · Wikidata · IdRef Documents Indexed: 90 Publications since 1976, including 6 Books and 2 Additional arXiv Preprints 3 Contributions as Editor · 2 Further Contributions Reviewing Activity: 116 Reviews Co-Authors: 35 Co-Authors with 65 Joint Publications 804 Co-Co-Authors all top 5 Co-Authors 21 single-authored 15 Seshadri, Conjeeveram Srirangachari 7 Magyar, Peter 6 Littelmann, Peter 6 Raghavan, Komaranapuram N. 6 Sankaran, Parameswaran 5 Gonciulea, Nicolae 4 Hodges, Reuven 4 Kreiman, Victor 4 Musili, C. 4 Singh, Rahul 4 Weyman, Jerzy M. 3 Balaji, Vikraman 3 Huneke, Craig L. 3 Rajeswari, Kota Nagalakshmi 3 Reshetikhin, Nikolai Yu. 2 Billey, Sara C. 2 Haboush, William J. 2 Mehta, Vikram Bhagvandas 2 Shukla, Pradeep 1 Brion, Michel 1 Can, Mahir Bilen 1 De Concini, Corrado 1 Fossum, Robert M. 1 Hochster, Melvin 1 Kummini, Manoj 1 Kuttler, Jochen 1 Mumford, David Bryant 1 Murthy, M. Pavaman 1 Nagarajan, K. R. 1 Nori, Madhav V. 1 Parameswaran, A. J. 1 Ravikumar, Vijay 1 Sandhya, B. 1 Sastry, Pramathanath 1 Slofstra, William 1 Sridharan, Ramaiyengar all top 5 Serials 12 Journal of Algebra 10 Comptes Rendus de l’Académie des Sciences. Série I 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Transformation Groups 4 Texts and Readings in Mathematics 3 Michigan Mathematical Journal 3 Bulletin of the American Mathematical Society. New Series 2 Pacific Journal of Mathematics 2 IMRN. International Mathematics Research Notices 2 Algebras and Representation Theory 2 Pure and Applied Mathematics Quarterly 2 Proceedings of the Indian Academy of Sciences 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Compositio Mathematica 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Pure and Applied Algebra 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Journal of the Ramanujan Mathematical Society 1 Notices of the American Mathematical Society 1 Mathematical Research Letters 1 Representation Theory 1 Central European Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Indian Academy of Sciences 1 Contemporary Mathematics 1 Encyclopaedia of Mathematical Sciences 1 Progress in Mathematics 1 Travaux en Cours 1 Developments in Mathematics 1 Trends in Mathematics all top 5 Fields 90 Algebraic geometry (14-XX) 33 Group theory and generalizations (20-XX) 17 Nonassociative rings and algebras (17-XX) 15 Commutative algebra (13-XX) 6 Topological groups, Lie groups (22-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Associative rings and algebras (16-XX) 2 General and overarching topics; collections (00-XX) 2 Geometry (51-XX) 1 \(K\)-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 1,112 times in 658 Documents Cited by ▼ Year ▼ Singular loci of Schubert varieties. Zbl 0959.14032 Billey, Sara; Lakshmibai, V. 150 2000 Criterion for smoothness of Schubert varieties in Sl(n)/B. Zbl 0714.14033 Lakshmibai, V.; Sandhya, B. 86 1990 Degenerations of flag and Schubert varieties to toric varieties. Zbl 0909.14028 Gonciulea, N.; Lakshmibai, V. 78 1996 Geometry of G/P. II: The work of De Concini and Procesi and the basic conjectures. Zbl 0447.14011 Lakshmibai, V.; Seshadri, C. S. 57 1978 Geometry of G/P. V. Zbl 0618.14026 Lakshmibai, V.; Seshadri, C. S. 56 1986 Standard monomial theory. Invariant theoretic approach. Zbl 1137.14036 Lakshmibai, Venkatramani; Raghavan, Komaranapuram N. 55 2008 Geometry of \(G/P\). IV: Standard monomial theory for classical types. Zbl 0447.14013 Lakshmibai, V.; Musili, C.; Seshadri, C. S. 40 1979 Singular locus of a Schubert variety. Zbl 0549.14016 Lakshmibai, V.; Seshadri, C. S. 38 1984 Multiplicities of points on a Schubert variety in a minuscule G/P. Zbl 0729.14037 Lakshmibai, V.; Weyman, J. 33 1990 A geometric approach to Standard Monomial Theory. Zbl 1053.14056 Brion, M.; Lakshmibai, V. 30 2003 Standard monomial theory for Bott–Samelson varieties. Zbl 1061.14051 Lakshmibai, Venkatramani; Littelmann, Peter; Magyar, Peter 29 2002 Arithmetic Cohen-Macaulayness and arithmetic normality for Schubert varieties. Zbl 0475.14045 De Concini, C.; Lakshmibai, V. 29 1981 Standard monomial theory. Zbl 0785.14028 Lakshmibai, V.; Seshadri, C. S. 27 1991 Standard monomial theory and applications. Zbl 1013.17014 Lakshmibai, Venkatramani; Littelmann, Peter; Magyar, Peter 24 1998 Degeneracy schemes, quiver schemes, and Schubert varieties. Zbl 0936.14001 Lakshmibai, V.; Magyar, Peter 23 1998 Geometry of \(G/P\). III: Standard monomial theory for a quasi-minuscule \(P\). Zbl 0447.14012 Lakshmibai, V.; Musili, C.; Seshadri, C. S. 22 1979 Quantum flag and Schubert schemes. Zbl 0792.17012 Lakshmibai, V.; Reshetikhin, N. 20 1992 Geometry of G/P. Zbl 0466.14020 Lakshmibai, V.; Musili, C.; Seshadri, C. S. 20 1979 Flag varieties. Zbl 1136.14306 Lakshmibai, V.; Gonciulea, N. 18 2001 Multiplicities of singular points in Schubert varieties of Grassmannians. Zbl 1092.14060 Kreiman, Victor; Lakshmibai, V. 15 2003 Geometry of G/P. VI: Bases for fundamental represenations of classical groups. Geometry of G/P. VII: The symplectic group and the involution \(\sigma\) . Geometry of G/P. VIII: The group \(SO(2n+1)\) and the involution \(\sigma\). Zbl 0618.14027 Lakshmibai, V. 15 1987 Richardson varieties in the Grassmannian. Zbl 1092.14059 Kreiman, Victor; Lakshmibai, V. 15 2004 The Grassmannian variety. Geometric and representation-theoretic aspects. Zbl 1343.14001 Lakshmibai, V.; Brown, Justin 15 2015 Equivariant Giambelli and determinantal restriction formulas for the Grassmannian. Zbl 1105.14065 Lakshmibai, V.; Raghavan, K. N.; Sankaran, P. 14 2006 Richardson varieties and equivariant \(K\)-theory. Zbl 1071.14049 Lakshmibai, V.; Littelmann, P. 13 2003 Flag varieties. An interplay of geometry, combinatorics, and representation theory. Zbl 1166.14001 Lakshmibai, V.; Brown, Justin 10 2009 Introduction to the theory of standard monomials. With notes by Peter Littelmann and Pradeep Shukla. Appendix by V. Lakshmibai. 2nd ed. Zbl 1297.14002 Seshadri, C. S. 10 2014 Frobenius splittings and blow-ups. Zbl 0955.14006 Lakshmibai, V.; Mehta, V. B.; Parameswaran, A. J. 9 1998 Tangent spaces to Schubert varieties. Zbl 0857.14027 Lakshmibai, V. 8 1995 Degenerations of flag varieties to toric varieties. Zbl 0858.14026 Lakshmibai, Venkatramani 7 1995 Introduction to the theory of standard monomials. With notes by Peter Littelmann and Pradeep Shukla. Appendix A by V. Lakshmibai. Revised reprint of lectures published in the Brandeis Lecture Notes series. Zbl 1133.14052 Seshadri, C. S. 7 2007 Singular loci of ladder determinantal varieties and Schubert varieties. Zbl 1001.14019 Gonciulea, N.; Lakshmibai, V. 6 2000 Bases for quantum Demazure modules. Zbl 0845.17016 Lakshmibai, V. 6 1995 The development of standard monomial theory. II. Zbl 1056.14066 Lakshmibai, V. 6 2003 Levi subgroup actions on Schubert varieties, induced decompositions of their coordinate rings, and sphericity consequences. Zbl 1507.14070 Hodges, Reuven; Lakshmibai, Venkatramani 6 2018 Quantum deformations of flag and Schubert schemes. Zbl 0753.17021 Lakshmibai, Venkatramani; Reshetikhin, Nicolai 6 1991 Singular loci of Grassmann-Hibi toric varieties. Zbl 1203.14056 Brown, J.; Lakshmibai, V. 6 2010 Kempf varieties. Zbl 0447.14014 Lakshmi Bai, V. 6 1976 Singular loci of Bruhat-Hibi toric varieties. Zbl 1154.14038 Brown, J.; Lakshmibai, V. 6 2008 Bases for quantum Demazure modules. II. Zbl 0848.17020 Lakshmibai, V. 6 1994 Singular loci of Schubert varieties for classical groups. Zbl 0635.14022 Lakshmibai, V. 6 1987 On tangent spaces to Schubert varieties. Zbl 1003.14014 Lakshmibai, V. 6 2000 Schubert varieties, toric varieties and ladder determinantal varieties. Zbl 0878.14033 Gonciulea, Nicolae; Lakshmibai, Venkatramani 5 1997 Flag varieties. An interplay of geometry, combinatorics, and representation theory. 2nd edition. Zbl 1416.14001 Lakshmibai, V.; Brown, Justin 4 2018 Wahl’s conjecture holds in odd characteristics for symplectic and orthogonal Grassmannians. Zbl 1200.14100 Lakshmibai, Venkatramani; Raghavan, Komaranapuram N.; Sankaran, Parameswaran 4 2009 Standard monomial theory for Bott-Samelson varieties. Zbl 0907.14020 Lakshmibai, Venkatramani; Magyar, Peter 4 1997 Standard monomial theory for \(G_ 2\). Zbl 0605.14041 Lakshmibai, V. 4 1986 A characterization of Kempf varieties by means of standard monomials and the geometric consequences. Zbl 0612.14049 Huneke, Craig; Lakshmibai, V. 4 1985 Standard monomial theory for Bott-Samelson varieties of GL\((n)\). Zbl 0967.14031 Lakshmibai, Venkatramani; Magyar, Peter 4 1998 Gröbner bases and standard monomial bases. Zbl 0866.13011 Gonciulea, Nicolae; Lakshmibai, Venkatramani 3 1996 On tangent spaces to Schubert varieties. II. Zbl 0974.14035 Lakshmibai, V. 3 2000 On ideal generators for affine Schubert varieties. Zbl 1133.14050 Kreiman, V.; Lakshmibai, V.; Magyar, P.; Weyman, J. 3 2007 Singular loci of varieties of complexes. Zbl 0982.14027 Lakshmibai, V. 3 2000 Wahl’s conjecture for a minuscule \(G/P\). Zbl 1192.14036 Brown, J.; Lakshmibai, V. 3 2009 Bases for fundamental representation of classical groups. I. Zbl 0617.14031 Lakshmibai, V. 3 1986 Standard bases for affine \(\text{SL}(n)\)-modules. Zbl 1083.17009 Kreiman, V.; Lakshmibai, V.; Magyar, P.; Weyman, J. 3 2005 Cotangent bundle to the Grassmann variety. Zbl 1390.14148 Lakshmibai, V. 3 2016 Degeneracy of Schubert varieties. Zbl 0806.14036 Huneke, Craig; Lakshmibai, V. 2 1992 A criterion for smoothness of Schubert varieties in \(Sp(2n)/B\). Zbl 0891.14015 Lakshmibai, V.; Song, M. 2 1997 Standard monomial bases and geometric consequences for certain rings of invariants. Zbl 1096.14040 Lakshmibai, V.; Shukla, P. 2 2006 Quantum deformations of \(SL_ n/B\) and its Schubert varieties. Zbl 0779.17014 Lakshmibai, V.; Reshetikhin, N. 2 1991 Collected papers of C. S. Seshadri. Volume 1: Vector bundles and invariant theory. Volume 2: Schubert geometry and representation theory. Edited by Vikraman Balaji, V. Lakshmibai, M. Pavaman Murthy and Madhav V. Nori. Zbl 1244.14001 Seshadri, C. S. 2 2012 Singularities of affine Schubert varieties. Zbl 1174.14042 Kuttler, Jochen; Lakshmibai, Venkatramani 2 2009 Bases for fundamental representations of classical groups. II. Zbl 0617.14032 Lakshmibai, V. 2 1986 Bases of Demazure modules for symmetrizable Kac-Moody algebras. Zbl 0807.17018 Lakshmibai, V. 2 1993 On the singular locus of a Schubert variety. Zbl 0981.14021 Billey, Sara; Lakshmibai, V. 2 2000 Geometry of \(G/P\). IX: The group \(SO(2n)\) and the involution \(\sigma\). Zbl 0698.14058 Lakshmibai, V.; Rajeswari, K. N. 2 1990 The cotangent bundle of a cominuscule Grassmanian. Zbl 1390.14149 Lakshmibai, V.; Ravikumar, Vijay; Slofstra, William 2 2016 Free resolutions of some Schubert singularities. Zbl 1342.14103 Kummini, Manoj; Lakshmibai, Venkatramani; Sastry, Pramathanath; Seshadri, Conjeevaram Srirangachari 2 2015 Toroidal Schubert varieties. Zbl 1448.14046 Can, Mahir Bilen; Hodges, Reuven; Lakshmibai, Venkatramani 2 2020 Standard monomial theory for \(\widehat{SL}_ n\). Zbl 0752.22013 Lakshmibai, V. 1 1990 Multiplicities of points on a Schubert variety. Zbl 0849.14018 Lakshmibai, Venkatramani 1 1995 Arithmetically Gorenstein Schubert varieties in a minuscule \(G/P\). Zbl 1259.14052 Brown, Justin; Lakshmibai, Venkatramani 1 2012 Cotangent bundle to the flag variety. I. Zbl 1419.14074 Lakshmibai, V.; Seshadri, C. S.; Singh, R. 1 2019 Standard monomial theory for \(\widehat {SL}_ 2\). Zbl 0759.22022 Lakshmibai, V.; Seshadri, C. S. 1 1989 Théorie monomiale standard pour \(\hat SL_ 2\). (Standard monomial theory for \(\hat SL_ 2)\). Zbl 0632.22012 Lakshmibai, Venkatramani; Seshadri, Conjeeveram S. 1 1987 A tribute to C. S. Seshadri. A collection of articles on geometry and representation theory. Zbl 1018.00018 1 2003 Invariant theory. Proceedings of an AMS special session held (at the 830th meeting of the AMS in Denton, TX) October 31-November 1, 1986. Zbl 0665.00004 1 1989 Bases pour les représentations fondamentales des groupes exceptionnels \(E_ 6\) et \(F_ 4\). (Bases for fundamental representations of the exceptional groups \(E_ 6\) and \(F_ 4)\). Zbl 0592.20051 Lakshmibai, V.; Rajeswari, K. N. 1 1986 Standard monomial bases, moduli spaces of vector bundles, and invariant theory. Zbl 1111.14042 Lakshmibai, V.; Raghavan, K. N.; Sankaran, P.; Shukla, P. 1 2006 Towards a standard monomial theory for exceptional groups. Zbl 0682.14035 Lakshmibai, V.; Rajeswari, K. N. 1 1989 Multiplicities of points on a Schubert variety in a minuscule G/P. (Multiplicités des points sur une variété de Schubert d’un G/P minuscule). Zbl 0688.14045 Lakshmibai, Venkatramani; Weyman, Jerzy 1 1988 Conormal varieties on the cominuscule Grassmannian. Zbl 1511.14079 Lakshmibai, V.; Singh, Rahul 1 2021 Conormal varieties on the cominuscule Grassmannian. Zbl 1511.14079 Lakshmibai, V.; Singh, Rahul 1 2021 Toroidal Schubert varieties. Zbl 1448.14046 Can, Mahir Bilen; Hodges, Reuven; Lakshmibai, Venkatramani 2 2020 Cotangent bundle to the flag variety. I. Zbl 1419.14074 Lakshmibai, V.; Seshadri, C. S.; Singh, R. 1 2019 Levi subgroup actions on Schubert varieties, induced decompositions of their coordinate rings, and sphericity consequences. Zbl 1507.14070 Hodges, Reuven; Lakshmibai, Venkatramani 6 2018 Flag varieties. An interplay of geometry, combinatorics, and representation theory. 2nd edition. Zbl 1416.14001 Lakshmibai, V.; Brown, Justin 4 2018 Cotangent bundle to the Grassmann variety. Zbl 1390.14148 Lakshmibai, V. 3 2016 The cotangent bundle of a cominuscule Grassmanian. Zbl 1390.14149 Lakshmibai, V.; Ravikumar, Vijay; Slofstra, William 2 2016 The Grassmannian variety. Geometric and representation-theoretic aspects. Zbl 1343.14001 Lakshmibai, V.; Brown, Justin 15 2015 Free resolutions of some Schubert singularities. Zbl 1342.14103 Kummini, Manoj; Lakshmibai, Venkatramani; Sastry, Pramathanath; Seshadri, Conjeevaram Srirangachari 2 2015 Introduction to the theory of standard monomials. With notes by Peter Littelmann and Pradeep Shukla. Appendix by V. Lakshmibai. 2nd ed. Zbl 1297.14002 Seshadri, C. S. 10 2014 Collected papers of C. S. Seshadri. Volume 1: Vector bundles and invariant theory. Volume 2: Schubert geometry and representation theory. Edited by Vikraman Balaji, V. Lakshmibai, M. Pavaman Murthy and Madhav V. Nori. Zbl 1244.14001 Seshadri, C. S. 2 2012 Arithmetically Gorenstein Schubert varieties in a minuscule \(G/P\). Zbl 1259.14052 Brown, Justin; Lakshmibai, Venkatramani 1 2012 Singular loci of Grassmann-Hibi toric varieties. Zbl 1203.14056 Brown, J.; Lakshmibai, V. 6 2010 Flag varieties. An interplay of geometry, combinatorics, and representation theory. Zbl 1166.14001 Lakshmibai, V.; Brown, Justin 10 2009 Wahl’s conjecture holds in odd characteristics for symplectic and orthogonal Grassmannians. Zbl 1200.14100 Lakshmibai, Venkatramani; Raghavan, Komaranapuram N.; Sankaran, Parameswaran 4 2009 Wahl’s conjecture for a minuscule \(G/P\). Zbl 1192.14036 Brown, J.; Lakshmibai, V. 3 2009 Singularities of affine Schubert varieties. Zbl 1174.14042 Kuttler, Jochen; Lakshmibai, Venkatramani 2 2009 Standard monomial theory. Invariant theoretic approach. Zbl 1137.14036 Lakshmibai, Venkatramani; Raghavan, Komaranapuram N. 55 2008 Singular loci of Bruhat-Hibi toric varieties. Zbl 1154.14038 Brown, J.; Lakshmibai, V. 6 2008 Introduction to the theory of standard monomials. With notes by Peter Littelmann and Pradeep Shukla. Appendix A by V. Lakshmibai. Revised reprint of lectures published in the Brandeis Lecture Notes series. Zbl 1133.14052 Seshadri, C. S. 7 2007 On ideal generators for affine Schubert varieties. Zbl 1133.14050 Kreiman, V.; Lakshmibai, V.; Magyar, P.; Weyman, J. 3 2007 Equivariant Giambelli and determinantal restriction formulas for the Grassmannian. Zbl 1105.14065 Lakshmibai, V.; Raghavan, K. N.; Sankaran, P. 14 2006 Standard monomial bases and geometric consequences for certain rings of invariants. Zbl 1096.14040 Lakshmibai, V.; Shukla, P. 2 2006 Standard monomial bases, moduli spaces of vector bundles, and invariant theory. Zbl 1111.14042 Lakshmibai, V.; Raghavan, K. N.; Sankaran, P.; Shukla, P. 1 2006 Standard bases for affine \(\text{SL}(n)\)-modules. Zbl 1083.17009 Kreiman, V.; Lakshmibai, V.; Magyar, P.; Weyman, J. 3 2005 Richardson varieties in the Grassmannian. Zbl 1092.14059 Kreiman, Victor; Lakshmibai, V. 15 2004 A geometric approach to Standard Monomial Theory. Zbl 1053.14056 Brion, M.; Lakshmibai, V. 30 2003 Multiplicities of singular points in Schubert varieties of Grassmannians. Zbl 1092.14060 Kreiman, Victor; Lakshmibai, V. 15 2003 Richardson varieties and equivariant \(K\)-theory. Zbl 1071.14049 Lakshmibai, V.; Littelmann, P. 13 2003 The development of standard monomial theory. II. Zbl 1056.14066 Lakshmibai, V. 6 2003 A tribute to C. S. Seshadri. A collection of articles on geometry and representation theory. Zbl 1018.00018 1 2003 Standard monomial theory for Bott–Samelson varieties. Zbl 1061.14051 Lakshmibai, Venkatramani; Littelmann, Peter; Magyar, Peter 29 2002 Flag varieties. Zbl 1136.14306 Lakshmibai, V.; Gonciulea, N. 18 2001 Singular loci of Schubert varieties. Zbl 0959.14032 Billey, Sara; Lakshmibai, V. 150 2000 Singular loci of ladder determinantal varieties and Schubert varieties. Zbl 1001.14019 Gonciulea, N.; Lakshmibai, V. 6 2000 On tangent spaces to Schubert varieties. Zbl 1003.14014 Lakshmibai, V. 6 2000 On tangent spaces to Schubert varieties. II. Zbl 0974.14035 Lakshmibai, V. 3 2000 Singular loci of varieties of complexes. Zbl 0982.14027 Lakshmibai, V. 3 2000 On the singular locus of a Schubert variety. Zbl 0981.14021 Billey, Sara; Lakshmibai, V. 2 2000 Standard monomial theory and applications. Zbl 1013.17014 Lakshmibai, Venkatramani; Littelmann, Peter; Magyar, Peter 24 1998 Degeneracy schemes, quiver schemes, and Schubert varieties. Zbl 0936.14001 Lakshmibai, V.; Magyar, Peter 23 1998 Frobenius splittings and blow-ups. Zbl 0955.14006 Lakshmibai, V.; Mehta, V. B.; Parameswaran, A. J. 9 1998 Standard monomial theory for Bott-Samelson varieties of GL\((n)\). Zbl 0967.14031 Lakshmibai, Venkatramani; Magyar, Peter 4 1998 Schubert varieties, toric varieties and ladder determinantal varieties. Zbl 0878.14033 Gonciulea, Nicolae; Lakshmibai, Venkatramani 5 1997 Standard monomial theory for Bott-Samelson varieties. Zbl 0907.14020 Lakshmibai, Venkatramani; Magyar, Peter 4 1997 A criterion for smoothness of Schubert varieties in \(Sp(2n)/B\). Zbl 0891.14015 Lakshmibai, V.; Song, M. 2 1997 Degenerations of flag and Schubert varieties to toric varieties. Zbl 0909.14028 Gonciulea, N.; Lakshmibai, V. 78 1996 Gröbner bases and standard monomial bases. Zbl 0866.13011 Gonciulea, Nicolae; Lakshmibai, Venkatramani 3 1996 Tangent spaces to Schubert varieties. Zbl 0857.14027 Lakshmibai, V. 8 1995 Degenerations of flag varieties to toric varieties. Zbl 0858.14026 Lakshmibai, Venkatramani 7 1995 Bases for quantum Demazure modules. Zbl 0845.17016 Lakshmibai, V. 6 1995 Multiplicities of points on a Schubert variety. Zbl 0849.14018 Lakshmibai, Venkatramani 1 1995 Bases for quantum Demazure modules. II. Zbl 0848.17020 Lakshmibai, V. 6 1994 Bases of Demazure modules for symmetrizable Kac-Moody algebras. Zbl 0807.17018 Lakshmibai, V. 2 1993 Quantum flag and Schubert schemes. Zbl 0792.17012 Lakshmibai, V.; Reshetikhin, N. 20 1992 Degeneracy of Schubert varieties. Zbl 0806.14036 Huneke, Craig; Lakshmibai, V. 2 1992 Standard monomial theory. Zbl 0785.14028 Lakshmibai, V.; Seshadri, C. S. 27 1991 Quantum deformations of flag and Schubert schemes. Zbl 0753.17021 Lakshmibai, Venkatramani; Reshetikhin, Nicolai 6 1991 Quantum deformations of \(SL_ n/B\) and its Schubert varieties. Zbl 0779.17014 Lakshmibai, V.; Reshetikhin, N. 2 1991 Criterion for smoothness of Schubert varieties in Sl(n)/B. Zbl 0714.14033 Lakshmibai, V.; Sandhya, B. 86 1990 Multiplicities of points on a Schubert variety in a minuscule G/P. Zbl 0729.14037 Lakshmibai, V.; Weyman, J. 33 1990 Geometry of \(G/P\). IX: The group \(SO(2n)\) and the involution \(\sigma\). Zbl 0698.14058 Lakshmibai, V.; Rajeswari, K. N. 2 1990 Standard monomial theory for \(\widehat{SL}_ n\). Zbl 0752.22013 Lakshmibai, V. 1 1990 Standard monomial theory for \(\widehat {SL}_ 2\). Zbl 0759.22022 Lakshmibai, V.; Seshadri, C. S. 1 1989 Invariant theory. Proceedings of an AMS special session held (at the 830th meeting of the AMS in Denton, TX) October 31-November 1, 1986. Zbl 0665.00004 1 1989 Towards a standard monomial theory for exceptional groups. Zbl 0682.14035 Lakshmibai, V.; Rajeswari, K. N. 1 1989 Multiplicities of points on a Schubert variety in a minuscule G/P. (Multiplicités des points sur une variété de Schubert d’un G/P minuscule). Zbl 0688.14045 Lakshmibai, Venkatramani; Weyman, Jerzy 1 1988 Geometry of G/P. VI: Bases for fundamental represenations of classical groups. Geometry of G/P. VII: The symplectic group and the involution \(\sigma\) . Geometry of G/P. VIII: The group \(SO(2n+1)\) and the involution \(\sigma\). Zbl 0618.14027 Lakshmibai, V. 15 1987 Singular loci of Schubert varieties for classical groups. Zbl 0635.14022 Lakshmibai, V. 6 1987 Théorie monomiale standard pour \(\hat SL_ 2\). (Standard monomial theory for \(\hat SL_ 2)\). Zbl 0632.22012 Lakshmibai, Venkatramani; Seshadri, Conjeeveram S. 1 1987 Geometry of G/P. V. Zbl 0618.14026 Lakshmibai, V.; Seshadri, C. S. 56 1986 Standard monomial theory for \(G_ 2\). Zbl 0605.14041 Lakshmibai, V. 4 1986 Bases for fundamental representation of classical groups. I. Zbl 0617.14031 Lakshmibai, V. 3 1986 Bases for fundamental representations of classical groups. II. Zbl 0617.14032 Lakshmibai, V. 2 1986 Bases pour les représentations fondamentales des groupes exceptionnels \(E_ 6\) et \(F_ 4\). (Bases for fundamental representations of the exceptional groups \(E_ 6\) and \(F_ 4)\). Zbl 0592.20051 Lakshmibai, V.; Rajeswari, K. N. 1 1986 A characterization of Kempf varieties by means of standard monomials and the geometric consequences. Zbl 0612.14049 Huneke, Craig; Lakshmibai, V. 4 1985 Singular locus of a Schubert variety. Zbl 0549.14016 Lakshmibai, V.; Seshadri, C. S. 38 1984 Arithmetic Cohen-Macaulayness and arithmetic normality for Schubert varieties. Zbl 0475.14045 De Concini, C.; Lakshmibai, V. 29 1981 Geometry of \(G/P\). IV: Standard monomial theory for classical types. Zbl 0447.14013 Lakshmibai, V.; Musili, C.; Seshadri, C. S. 40 1979 Geometry of \(G/P\). III: Standard monomial theory for a quasi-minuscule \(P\). Zbl 0447.14012 Lakshmibai, V.; Musili, C.; Seshadri, C. S. 22 1979 Geometry of G/P. Zbl 0466.14020 Lakshmibai, V.; Musili, C.; Seshadri, C. S. 20 1979 Geometry of G/P. II: The work of De Concini and Procesi and the basic conjectures. Zbl 0447.14011 Lakshmibai, V.; Seshadri, C. S. 57 1978 Kempf varieties. Zbl 0447.14014 Lakshmi Bai, V. 6 1976 all cited Publications top 5 cited Publications all top 5 Cited by 655 Authors 35 Lakshmibai, Venkatramani 14 Littelmann, Peter 14 Yong, Alexander 10 Hodges, Reuven 10 Kannan, Senthamarai 10 Kim, Sangjib 10 Raghavan, Komaranapuram N. 10 Richmond, Edward 9 Billey, Sara C. 8 Chirivì, Rocco 8 Fang, Xin 8 Fourier, Ghislain 8 Lee, Eunjeong 7 Brenti, Francesco 7 Clarke, Oliver 7 Fioresi, Rita 7 Kim, Yoosik 7 Mohammadi, Fatemeh 7 Rajchgot, Jenna Beth 7 Saha, Pinakinath 7 Scrimshaw, Travis 7 Slofstra, William 7 Vavilov, Nikolaĭ Aleksandrovich 6 Gao, Yibo 6 Ignatev, Mikhail V. 6 Kreiman, Victor 6 Lee, Soo Teck 6 Proctor, Robert A. 6 Sankaran, Parameswaran 6 Weyman, Jerzy M. 5 Skovsted Buch, Anders 5 Caselli, Fabrizio 5 Cho, Yunhyung 5 Feigin, Evgeny 5 Fujita, Naoki 5 Gonciulea, Nicolae 5 Hultman, Axel 5 Ikeda, Takeshi 5 Kumar, Shrawan 5 Lascoux, Alain 5 Lőrincz, András Cristian 5 Mihalcea, Leonardo Constantin 5 Nayek, Arpita 5 Pechenik, Oliver 5 Perrin, Nicolas 5 Sentinelli, Paolo 5 Singh, Rahul 5 Tymoczko, Julianna S. 5 Upadhyay, Shyamashree 5 Woo, Alexander K. 4 Bonala, Narasimha Chary 4 Buciumas, Valentin 4 Can, Mahir Bilen 4 Coskun, Izzet 4 Funch Thomsen, Jesper 4 Gaetz, Christian 4 Graham, William A. 4 Howe, Roger Evans 4 Insko, Erik 4 Kaveh, Kiumars 4 Kinser, Ryan 4 Koskivirta, Jean-Stefan 4 Lapid, Erez Moshe 4 Lenart, Cristian 4 McGovern, William Montgomery 4 Mehta, Vikram Bhagvandas 4 Naoi, Katsuyuki 4 O’Buachalla, Réamonn 4 Pattanayak, Santosha Kumar 4 Postnikov, Alexander E. 4 Seshadri, Conjeeveram Srirangachari 4 Skandera, Mark 4 Tsuchioka, Shunsuke 4 Warrington, Gregory S. 4 Yakimov, Milen T. 4 Zelevinskiĭ, Andreĭ V. 3 Anderson, Dave Edward 3 Baclawski, Kenneth 3 Bossinger, Lara 3 Caldero, Philippe 3 Correa, Eder M. 3 Danilov, Vladimir I. 3 De Concini, Corrado 3 Dehy, Raika 3 Duan, Haibao 3 Escobar, Laura 3 Ghorpade, Sudhir R. 3 Hacon, Christopher Derek 3 Hong, Jaehyun 3 Howard, Benjamin J. 3 Isaev, Alexander 3 Jeon, Minyoung 3 Jones, Brant C. 3 Karzanov, Aleksandr V. 3 Knutson, Allen 3 Lam, Thomas F. 3 Lanini, Martina 3 Lauritzen, Niels 3 Leclerc, Bernard 3 Li, Changzheng ...and 555 more Authors all top 5 Cited in 128 Serials 85 Journal of Algebra 52 Advances in Mathematics 36 Transformation Groups 25 Journal of Algebraic Combinatorics 22 Journal of Combinatorial Theory. Series A 19 Journal of Pure and Applied Algebra 19 Transactions of the American Mathematical Society 13 Selecta Mathematica. New Series 12 Algebras and Representation Theory 11 Communications in Algebra 11 Annales de l’Institut Fourier 11 Séminaire Lotharingien de Combinatoire 10 Inventiones Mathematicae 10 Mathematische Annalen 10 Proceedings of the American Mathematical Society 10 European Journal of Combinatorics 10 Representation Theory 9 Discrete Mathematics 9 Advances in Applied Mathematics 8 Duke Mathematical Journal 8 Mathematische Zeitschrift 8 Michigan Mathematical Journal 8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 8 Journal of Mathematical Sciences (New York) 8 The Electronic Journal of Combinatorics 7 Algebraic Combinatorics 6 Communications in Mathematical Physics 6 Annals of Combinatorics 5 Journal of the London Mathematical Society. Second Series 5 Pacific Journal of Mathematics 5 Journal of the American Mathematical Society 5 Journal of Algebraic Geometry 5 Forum of Mathematics, Sigma 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Compositio Mathematica 4 Geometriae Dedicata 4 Journal of Symbolic Computation 4 Bulletin of the American Mathematical Society. New Series 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Journal of Commutative Algebra 3 Canadian Journal of Mathematics 3 Journal für die Reine und Angewandte Mathematik 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Linear Algebra and its Applications 3 St. Petersburg Mathematical Journal 3 Documenta Mathematica 3 Communications in Contemporary Mathematics 3 Journal of High Energy Physics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of the Institute of Mathematics of Jussieu 2 Indian Journal of Pure & Applied Mathematics 2 Israel Journal of Mathematics 2 Linear and Multilinear Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Geometry and Physics 2 Acta Mathematica Vietnamica 2 Functional Analysis and its Applications 2 Illinois Journal of Mathematics 2 Publications Mathématiques 2 Memoirs of the American Mathematical Society 2 Rendiconti del Seminario Matematico della Università di Padova 2 SIAM Journal on Algebraic and Discrete Methods 2 Acta Applicandae Mathematicae 2 Graphs and Combinatorics 2 SIAM Journal on Discrete Mathematics 2 SIAM Journal on Matrix Analysis and Applications 2 International Journal of Mathematics 2 International Journal of Algebra and Computation 2 Indagationes Mathematicae. New Series 2 Finite Fields and their Applications 2 Journal of Lie Theory 2 Acta Mathematica Sinica. English Series 2 Journal of Algebra and its Applications 2 Communications in Mathematics 2 European Journal of Mathematics 1 Discrete Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Nuclear Physics. B 1 Arkiv för Matematik 1 Chaos, Solitons and Fractals 1 Acta Mathematica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin of the London Mathematical Society 1 Journal of Differential Geometry 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 SIAM Journal on Computing 1 Theoretical Computer Science 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the Moscow Mathematical Society 1 Topology and its Applications 1 Combinatorica 1 Journal of the Nigerian Mathematical Society 1 Order 1 Journal of the Ramanujan Mathematical Society 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Differential Geometry and its Applications ...and 28 more Serials all top 5 Cited in 36 Fields 450 Algebraic geometry (14-XX) 232 Combinatorics (05-XX) 185 Group theory and generalizations (20-XX) 130 Nonassociative rings and algebras (17-XX) 76 Commutative algebra (13-XX) 56 Associative rings and algebras (16-XX) 37 Order, lattices, ordered algebraic structures (06-XX) 35 Topological groups, Lie groups (22-XX) 31 Convex and discrete geometry (52-XX) 27 Several complex variables and analytic spaces (32-XX) 21 Quantum theory (81-XX) 19 Differential geometry (53-XX) 19 Manifolds and cell complexes (57-XX) 16 Number theory (11-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 13 Algebraic topology (55-XX) 11 \(K\)-theory (19-XX) 10 Global analysis, analysis on manifolds (58-XX) 6 Functional analysis (46-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Category theory; homological algebra (18-XX) 4 Special functions (33-XX) 4 Geometry (51-XX) 4 Computer science (68-XX) 3 Mathematical logic and foundations (03-XX) 3 Mechanics of particles and systems (70-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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