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: 88 Publications since 1976, including 6 Books 3 Contributions as Editor · 2 Further Contributions Reviewing Activity: 116 Reviews Co-Authors: 35 Co-Authors with 63 Joint Publications 734 Co-Co-Authors all top 5 Co-Authors 21 single-authored 15 Seshadri, Conjeeveram Srirangachari 7 Magyar, Peter 6 Littelmann, Peter 5 Gonciulea, Nicolae 5 Raghavan, Komaranapuram N. 5 Sankaran, Parameswaran 4 Hodges, Reuven 4 Kreiman, Victor 4 Musili, C. 4 Weyman, Jerzy M. 3 Balaji, Vikraman 3 Huneke, Craig L. 3 Rajeswari, Kota Nagalakshmi 3 Reshetikhin, Nikolai Yu. 3 Singh, Rahul 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 89 Algebraic geometry (14-XX) 33 Group theory and generalizations (20-XX) 17 Nonassociative rings and algebras (17-XX) 14 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 996 times in 593 Documents Cited by ▼ Year ▼ Singular loci of Schubert varieties. Zbl 0959.14032Billey, Sara; Lakshmibai, V. 136 2000 Criterion for smoothness of Schubert varieties in Sl(n)/B. Zbl 0714.14033Lakshmibai, V.; Sandhya, B. 84 1990 Degenerations of flag and Schubert varieties to toric varieties. Zbl 0909.14028Gonciulea, N.; Lakshmibai, V. 71 1996 Geometry of G/P. V. Zbl 0618.14026Lakshmibai, V.; Seshadri, C. S. 54 1986 Geometry of G/P. II: The work of De Concini and Procesi and the basic conjectures. Zbl 0447.14011Lakshmibai, V.; Seshadri, C. S. 50 1978 Singular locus of a Schubert variety. Zbl 0549.14016Lakshmibai, V.; Seshadri, C. S. 35 1984 Geometry of \(G/P\). IV: Standard monomial theory for classical types. Zbl 0447.14013Lakshmibai, V.; Musili, C.; Seshadri, C. S. 35 1979 Standard monomial theory. Invariant theoretic approach. Zbl 1137.14036Lakshmibai, Venkatramani; Raghavan, Komaranapuram N. 34 2008 Multiplicities of points on a Schubert variety in a minuscule G/P. Zbl 0729.14037Lakshmibai, V.; Weyman, J. 29 1990 A geometric approach to Standard Monomial Theory. Zbl 1053.14056Brion, M.; Lakshmibai, V. 29 2003 Standard monomial theory. Zbl 0785.14028Lakshmibai, V.; Seshadri, C. S. 25 1991 Standard monomial theory for Bott–Samelson varieties. Zbl 1061.14051Lakshmibai, Venkatramani; Littelmann, Peter; Magyar, Peter 24 2002 Arithmetic Cohen-Macaulayness and arithmetic normality for Schubert varieties. Zbl 0475.14045De Concini, C.; Lakshmibai, V. 23 1981 Standard monomial theory and applications. Zbl 1013.17014Lakshmibai, Venkatramani; Littelmann, Peter; Magyar, Peter 22 1998 Geometry of G/P. Zbl 0466.14020Lakshmibai, V.; Musili, C.; Seshadri, C. S. 20 1979 Degeneracy schemes, quiver schemes, and Schubert varieties. Zbl 0936.14001Lakshmibai, V.; Magyar, Peter 20 1998 Quantum flag and Schubert schemes. Zbl 0792.17012Lakshmibai, V.; Reshetikhin, N. 19 1992 Geometry of \(G/P\). III: Standard monomial theory for a quasi-minuscule \(P\). Zbl 0447.14012Lakshmibai, V.; Musili, C.; Seshadri, C. S. 19 1979 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 0618.14027Lakshmibai, V. 15 1987 Flag varieties. Zbl 1136.14306Lakshmibai, V.; Gonciulea, N. 15 2001 Multiplicities of singular points in Schubert varieties of Grassmannians. Zbl 1092.14060Kreiman, Victor; Lakshmibai, V. 14 2003 Richardson varieties in the Grassmannian. Zbl 1092.14059Kreiman, Victor; Lakshmibai, V. 13 2004 Equivariant Giambelli and determinantal restriction formulas for the Grassmannian. Zbl 1105.14065Lakshmibai, V.; Raghavan, K. N.; Sankaran, P. 13 2006 Richardson varieties and equivariant \(K\)-theory. Zbl 1071.14049Lakshmibai, V.; Littelmann, P. 13 2003 The Grassmannian variety. Geometric and representation-theoretic aspects. Zbl 1343.14001Lakshmibai, V.; Brown, Justin 12 2015 Frobenius splittings and blow-ups. Zbl 0955.14006Lakshmibai, V.; Mehta, V. B.; Parameswaran, A. J. 8 1998 Flag varieties. An interplay of geometry, combinatorics, and representation theory. Zbl 1166.14001Lakshmibai, V.; Brown, Justin 7 2009 Bases for quantum Demazure modules. II. Zbl 0848.17020Lakshmibai, V. 6 1994 Tangent spaces to Schubert varieties. Zbl 0857.14027Lakshmibai, V. 6 1995 Degenerations of flag varieties to toric varieties. Zbl 0858.14026Lakshmibai, Venkatramani 6 1995 Bases for quantum Demazure modules. Zbl 0845.17016Lakshmibai, V. 6 1995 Singular loci of ladder determinantal varieties and Schubert varieties. Zbl 1001.14019Gonciulea, N.; Lakshmibai, V. 6 2000 Singular loci of Schubert varieties for classical groups. Zbl 0635.14022Lakshmibai, V. 6 1987 The development of standard monomial theory. II. Zbl 1056.14066Lakshmibai, V. 6 2003 Singular loci of Bruhat-Hibi toric varieties. Zbl 1154.14038Brown, J.; Lakshmibai, V. 6 2008 Singular loci of Grassmann-Hibi toric varieties. Zbl 1203.14056Brown, J.; Lakshmibai, V. 6 2010 Quantum deformations of flag and Schubert schemes. Zbl 0753.17021Lakshmibai, Venkatramani; Reshetikhin, Nicolai 6 1991 Levi subgroup actions on Schubert varieties, induced decompositions of their coordinate rings, and sphericity consequences. Zbl 1507.14070Hodges, Reuven; Lakshmibai, Venkatramani 5 2018 Introduction to the theory of standard monomials. With notes by Peter Littelmann and Pradeep Shukla. Appendix by V. Lakshmibai. 2nd ed. Zbl 1297.14002Seshadri, C. S. 5 2014 Kempf varieties. Zbl 0447.14014Lakshmi Bai, V. 5 1976 Schubert varieties, toric varieties and ladder determinantal varieties. Zbl 0878.14033Gonciulea, Nicolae; Lakshmibai, Venkatramani 5 1997 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 1133.14052Seshadri, C. S. 5 2007 Wahl’s conjecture holds in odd characteristics for symplectic and orthogonal Grassmannians. Zbl 1200.14100Lakshmibai, Venkatramani; Raghavan, Komaranapuram N.; Sankaran, Parameswaran 4 2009 Standard monomial theory for \(G_ 2\). Zbl 0605.14041Lakshmibai, V. 4 1986 Standard monomial theory for Bott-Samelson varieties. Zbl 0907.14020Lakshmibai, Venkatramani; Magyar, Peter 4 1997 A characterization of Kempf varieties by means of standard monomials and the geometric consequences. Zbl 0612.14049Huneke, Craig; Lakshmibai, V. 4 1985 Flag varieties. An interplay of geometry, combinatorics, and representation theory. 2nd edition. Zbl 1416.14001Lakshmibai, V.; Brown, Justin 3 2018 Cotangent bundle to the Grassmann variety. Zbl 1390.14148Lakshmibai, V. 3 2016 Singular loci of varieties of complexes. Zbl 0982.14027Lakshmibai, V. 3 2000 On tangent spaces to Schubert varieties. Zbl 1003.14014Lakshmibai, V. 3 2000 Gröbner bases and standard monomial bases. Zbl 0866.13011Gonciulea, Nicolae; Lakshmibai, Venkatramani 3 1996 Bases for fundamental representation of classical groups. I. Zbl 0617.14031Lakshmibai, V. 3 1986 Wahl’s conjecture for a minuscule \(G/P\). Zbl 1192.14036Brown, J.; Lakshmibai, V. 3 2009 Standard bases for affine \(\text{SL}(n)\)-modules. Zbl 1083.17009Kreiman, V.; Lakshmibai, V.; Magyar, P.; Weyman, J. 3 2005 Standard monomial theory for Bott-Samelson varieties of GL\((n)\). Zbl 0967.14031Lakshmibai, Venkatramani; Magyar, Peter 2 1998 Degeneracy of Schubert varieties. Zbl 0806.14036Huneke, Craig; Lakshmibai, V. 2 1992 Quantum deformations of \(SL_ n/B\) and its Schubert varieties. Zbl 0779.17014Lakshmibai, V.; Reshetikhin, N. 2 1991 Bases of Demazure modules for symmetrizable Kac-Moody algebras. Zbl 0807.17018Lakshmibai, V. 2 1993 The cotangent bundle of a cominuscule Grassmanian. Zbl 1390.14149Lakshmibai, V.; Ravikumar, Vijay; Slofstra, William 2 2016 On tangent spaces to Schubert varieties. II. Zbl 0974.14035Lakshmibai, V. 2 2000 On the singular locus of a Schubert variety. Zbl 0981.14021Billey, Sara; Lakshmibai, V. 2 2000 Bases for fundamental representations of classical groups. II. Zbl 0617.14032Lakshmibai, V. 2 1986 Geometry of \(G/P\). IX: The group \(SO(2n)\) and the involution \(\sigma\). Zbl 0698.14058Lakshmibai, V.; Rajeswari, K. N. 2 1990 A criterion for smoothness of Schubert varieties in \(Sp(2n)/B\). Zbl 0891.14015Lakshmibai, V.; Song, M. 2 1997 Standard monomial bases and geometric consequences for certain rings of invariants. Zbl 1096.14040Lakshmibai, V.; Shukla, P. 2 2006 Toroidal Schubert varieties. Zbl 1448.14046Can, Mahir Bilen; Hodges, Reuven; Lakshmibai, Venkatramani 2 2020 On ideal generators for affine Schubert varieties. Zbl 1133.14050Kreiman, V.; Lakshmibai, V.; Magyar, P.; Weyman, J. 2 2007 Free resolutions of some Schubert singularities. Zbl 1342.14103Kummini, Manoj; Lakshmibai, Venkatramani; Sastry, Pramathanath; Seshadri, Conjeevaram Srirangachari 2 2015 Cotangent bundle to the flag variety. I. Zbl 1419.14074Lakshmibai, V.; Seshadri, C. S.; Singh, R. 1 2019 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 Arithmetically Gorenstein Schubert varieties in a minuscule \(G/P\). Zbl 1259.14052Brown, Justin; Lakshmibai, Venkatramani 1 2012 Multiplicities of points on a Schubert variety. Zbl 0849.14018Lakshmibai, Venkatramani 1 1995 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 1244.14001Seshadri, C. S. 1 2012 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 0592.20051Lakshmibai, V.; Rajeswari, K. N. 1 1986 Théorie monomiale standard pour \(\hat SL_ 2\). (Standard monomial theory for \(\hat SL_ 2)\). Zbl 0632.22012Lakshmibai, Venkatramani; Seshadri, Conjeeveram S. 1 1987 Towards a standard monomial theory for exceptional groups. Zbl 0682.14035Lakshmibai, 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 0688.14045Lakshmibai, Venkatramani; Weyman, Jerzy 1 1988 Conormal varieties on the cominuscule Grassmannian. Zbl 1511.14079Lakshmibai, V.; Singh, Rahul 1 2021 Standard monomial theory for \(\widehat{SL}_ n\). Zbl 0752.22013Lakshmibai, V. 1 1990 Standard monomial theory for \(\widehat {SL}_ 2\). Zbl 0759.22022Lakshmibai, V.; Seshadri, C. S. 1 1989 Standard monomial bases, moduli spaces of vector bundles, and invariant theory. Zbl 1111.14042Lakshmibai, V.; Raghavan, K. N.; Sankaran, P.; Shukla, P. 1 2006 A tribute to C. S. Seshadri. A collection of articles on geometry and representation theory. Zbl 1018.00018 1 2003 Singularities of affine Schubert varieties. Zbl 1174.14042Kuttler, Jochen; Lakshmibai, Venkatramani 1 2009 Conormal varieties on the cominuscule Grassmannian. Zbl 1511.14079Lakshmibai, V.; Singh, Rahul 1 2021 Toroidal Schubert varieties. Zbl 1448.14046Can, Mahir Bilen; Hodges, Reuven; Lakshmibai, Venkatramani 2 2020 Cotangent bundle to the flag variety. I. Zbl 1419.14074Lakshmibai, V.; Seshadri, C. S.; Singh, R. 1 2019 Levi subgroup actions on Schubert varieties, induced decompositions of their coordinate rings, and sphericity consequences. Zbl 1507.14070Hodges, Reuven; Lakshmibai, Venkatramani 5 2018 Flag varieties. An interplay of geometry, combinatorics, and representation theory. 2nd edition. Zbl 1416.14001Lakshmibai, V.; Brown, Justin 3 2018 Cotangent bundle to the Grassmann variety. Zbl 1390.14148Lakshmibai, V. 3 2016 The cotangent bundle of a cominuscule Grassmanian. Zbl 1390.14149Lakshmibai, V.; Ravikumar, Vijay; Slofstra, William 2 2016 The Grassmannian variety. Geometric and representation-theoretic aspects. Zbl 1343.14001Lakshmibai, V.; Brown, Justin 12 2015 Free resolutions of some Schubert singularities. Zbl 1342.14103Kummini, 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 1297.14002Seshadri, C. S. 5 2014 Arithmetically Gorenstein Schubert varieties in a minuscule \(G/P\). Zbl 1259.14052Brown, Justin; Lakshmibai, Venkatramani 1 2012 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 1244.14001Seshadri, C. S. 1 2012 Singular loci of Grassmann-Hibi toric varieties. Zbl 1203.14056Brown, J.; Lakshmibai, V. 6 2010 Flag varieties. An interplay of geometry, combinatorics, and representation theory. Zbl 1166.14001Lakshmibai, V.; Brown, Justin 7 2009 Wahl’s conjecture holds in odd characteristics for symplectic and orthogonal Grassmannians. Zbl 1200.14100Lakshmibai, Venkatramani; Raghavan, Komaranapuram N.; Sankaran, Parameswaran 4 2009 Wahl’s conjecture for a minuscule \(G/P\). Zbl 1192.14036Brown, J.; Lakshmibai, V. 3 2009 Singularities of affine Schubert varieties. Zbl 1174.14042Kuttler, Jochen; Lakshmibai, Venkatramani 1 2009 Standard monomial theory. Invariant theoretic approach. Zbl 1137.14036Lakshmibai, Venkatramani; Raghavan, Komaranapuram N. 34 2008 Singular loci of Bruhat-Hibi toric varieties. Zbl 1154.14038Brown, 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 1133.14052Seshadri, C. S. 5 2007 On ideal generators for affine Schubert varieties. Zbl 1133.14050Kreiman, V.; Lakshmibai, V.; Magyar, P.; Weyman, J. 2 2007 Equivariant Giambelli and determinantal restriction formulas for the Grassmannian. Zbl 1105.14065Lakshmibai, V.; Raghavan, K. N.; Sankaran, P. 13 2006 Standard monomial bases and geometric consequences for certain rings of invariants. Zbl 1096.14040Lakshmibai, V.; Shukla, P. 2 2006 Standard monomial bases, moduli spaces of vector bundles, and invariant theory. Zbl 1111.14042Lakshmibai, V.; Raghavan, K. N.; Sankaran, P.; Shukla, P. 1 2006 Standard bases for affine \(\text{SL}(n)\)-modules. Zbl 1083.17009Kreiman, V.; Lakshmibai, V.; Magyar, P.; Weyman, J. 3 2005 Richardson varieties in the Grassmannian. Zbl 1092.14059Kreiman, Victor; Lakshmibai, V. 13 2004 A geometric approach to Standard Monomial Theory. Zbl 1053.14056Brion, M.; Lakshmibai, V. 29 2003 Multiplicities of singular points in Schubert varieties of Grassmannians. Zbl 1092.14060Kreiman, Victor; Lakshmibai, V. 14 2003 Richardson varieties and equivariant \(K\)-theory. Zbl 1071.14049Lakshmibai, V.; Littelmann, P. 13 2003 The development of standard monomial theory. II. Zbl 1056.14066Lakshmibai, 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 1061.14051Lakshmibai, Venkatramani; Littelmann, Peter; Magyar, Peter 24 2002 Flag varieties. Zbl 1136.14306Lakshmibai, V.; Gonciulea, N. 15 2001 Singular loci of Schubert varieties. Zbl 0959.14032Billey, Sara; Lakshmibai, V. 136 2000 Singular loci of ladder determinantal varieties and Schubert varieties. Zbl 1001.14019Gonciulea, N.; Lakshmibai, V. 6 2000 Singular loci of varieties of complexes. Zbl 0982.14027Lakshmibai, V. 3 2000 On tangent spaces to Schubert varieties. Zbl 1003.14014Lakshmibai, V. 3 2000 On tangent spaces to Schubert varieties. II. Zbl 0974.14035Lakshmibai, V. 2 2000 On the singular locus of a Schubert variety. Zbl 0981.14021Billey, Sara; Lakshmibai, V. 2 2000 Standard monomial theory and applications. Zbl 1013.17014Lakshmibai, Venkatramani; Littelmann, Peter; Magyar, Peter 22 1998 Degeneracy schemes, quiver schemes, and Schubert varieties. Zbl 0936.14001Lakshmibai, V.; Magyar, Peter 20 1998 Frobenius splittings and blow-ups. Zbl 0955.14006Lakshmibai, V.; Mehta, V. B.; Parameswaran, A. J. 8 1998 Standard monomial theory for Bott-Samelson varieties of GL\((n)\). Zbl 0967.14031Lakshmibai, Venkatramani; Magyar, Peter 2 1998 Schubert varieties, toric varieties and ladder determinantal varieties. Zbl 0878.14033Gonciulea, Nicolae; Lakshmibai, Venkatramani 5 1997 Standard monomial theory for Bott-Samelson varieties. Zbl 0907.14020Lakshmibai, Venkatramani; Magyar, Peter 4 1997 A criterion for smoothness of Schubert varieties in \(Sp(2n)/B\). Zbl 0891.14015Lakshmibai, V.; Song, M. 2 1997 Degenerations of flag and Schubert varieties to toric varieties. Zbl 0909.14028Gonciulea, N.; Lakshmibai, V. 71 1996 Gröbner bases and standard monomial bases. Zbl 0866.13011Gonciulea, Nicolae; Lakshmibai, Venkatramani 3 1996 Tangent spaces to Schubert varieties. Zbl 0857.14027Lakshmibai, V. 6 1995 Degenerations of flag varieties to toric varieties. Zbl 0858.14026Lakshmibai, Venkatramani 6 1995 Bases for quantum Demazure modules. Zbl 0845.17016Lakshmibai, V. 6 1995 Multiplicities of points on a Schubert variety. Zbl 0849.14018Lakshmibai, Venkatramani 1 1995 Bases for quantum Demazure modules. II. Zbl 0848.17020Lakshmibai, V. 6 1994 Bases of Demazure modules for symmetrizable Kac-Moody algebras. Zbl 0807.17018Lakshmibai, V. 2 1993 Quantum flag and Schubert schemes. Zbl 0792.17012Lakshmibai, V.; Reshetikhin, N. 19 1992 Degeneracy of Schubert varieties. Zbl 0806.14036Huneke, Craig; Lakshmibai, V. 2 1992 Standard monomial theory. Zbl 0785.14028Lakshmibai, V.; Seshadri, C. S. 25 1991 Quantum deformations of flag and Schubert schemes. Zbl 0753.17021Lakshmibai, Venkatramani; Reshetikhin, Nicolai 6 1991 Quantum deformations of \(SL_ n/B\) and its Schubert varieties. Zbl 0779.17014Lakshmibai, V.; Reshetikhin, N. 2 1991 Criterion for smoothness of Schubert varieties in Sl(n)/B. Zbl 0714.14033Lakshmibai, V.; Sandhya, B. 84 1990 Multiplicities of points on a Schubert variety in a minuscule G/P. Zbl 0729.14037Lakshmibai, V.; Weyman, J. 29 1990 Geometry of \(G/P\). IX: The group \(SO(2n)\) and the involution \(\sigma\). Zbl 0698.14058Lakshmibai, V.; Rajeswari, K. N. 2 1990 Standard monomial theory for \(\widehat{SL}_ n\). Zbl 0752.22013Lakshmibai, V. 1 1990 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 0682.14035Lakshmibai, V.; Rajeswari, K. N. 1 1989 Standard monomial theory for \(\widehat {SL}_ 2\). Zbl 0759.22022Lakshmibai, V.; Seshadri, C. S. 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 0688.14045Lakshmibai, 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 0618.14027Lakshmibai, V. 15 1987 Singular loci of Schubert varieties for classical groups. Zbl 0635.14022Lakshmibai, V. 6 1987 Théorie monomiale standard pour \(\hat SL_ 2\). (Standard monomial theory for \(\hat SL_ 2)\). Zbl 0632.22012Lakshmibai, Venkatramani; Seshadri, Conjeeveram S. 1 1987 Geometry of G/P. V. Zbl 0618.14026Lakshmibai, V.; Seshadri, C. S. 54 1986 Standard monomial theory for \(G_ 2\). Zbl 0605.14041Lakshmibai, V. 4 1986 Bases for fundamental representation of classical groups. I. Zbl 0617.14031Lakshmibai, V. 3 1986 Bases for fundamental representations of classical groups. II. Zbl 0617.14032Lakshmibai, 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 0592.20051Lakshmibai, V.; Rajeswari, K. N. 1 1986 A characterization of Kempf varieties by means of standard monomials and the geometric consequences. Zbl 0612.14049Huneke, Craig; Lakshmibai, V. 4 1985 Singular locus of a Schubert variety. Zbl 0549.14016Lakshmibai, V.; Seshadri, C. S. 35 1984 Arithmetic Cohen-Macaulayness and arithmetic normality for Schubert varieties. Zbl 0475.14045De Concini, C.; Lakshmibai, V. 23 1981 Geometry of \(G/P\). IV: Standard monomial theory for classical types. Zbl 0447.14013Lakshmibai, V.; Musili, C.; Seshadri, C. S. 35 1979 Geometry of G/P. Zbl 0466.14020Lakshmibai, V.; Musili, C.; Seshadri, C. S. 20 1979 Geometry of \(G/P\). III: Standard monomial theory for a quasi-minuscule \(P\). Zbl 0447.14012Lakshmibai, V.; Musili, C.; Seshadri, C. S. 19 1979 Geometry of G/P. II: The work of De Concini and Procesi and the basic conjectures. Zbl 0447.14011Lakshmibai, V.; Seshadri, C. S. 50 1978 Kempf varieties. Zbl 0447.14014Lakshmi Bai, V. 5 1976 all cited Publications top 5 cited Publications all top 5 Cited by 595 Authors 34 Lakshmibai, Venkatramani 13 Littelmann, Peter 12 Yong, Alexander 10 Kim, Sangjib 10 Raghavan, Komaranapuram N. 9 Billey, Sara C. 9 Richmond, Edward 8 Fourier, Ghislain 8 Ignatev, Mikhail V. 8 Lee, Eunjeong 7 Chirivì, Rocco 7 Fang, Xin 7 Fioresi, Rita 7 Kannan, Subramaniam Senthamarai 7 Scrimshaw, Travis 7 Slofstra, William 7 Vavilov, Nikolaĭ Aleksandrovich 6 Brenti, Francesco 6 Hodges, Reuven 6 Lee, Soo Teck 6 Proctor, Robert A. 6 Rajchgot, Jenna Beth 6 Sankaran, Parameswaran 5 Skovsted Buch, Anders 5 Caselli, Fabrizio 5 Cho, Yunhyung 5 Clarke, Oliver 5 Gonciulea, Nicolae 5 Hultman, Axel 5 Kim, Yoosik 5 Lascoux, Alain 5 Mohammadi, Fatemeh 5 Pechenik, Oliver 5 Perrin, Nicolas 5 Skandera, Mark 5 Tymoczko, Julianna S. 5 Weyman, Jerzy M. 4 Buciumas, Valentin 4 Can, Mahir Bilen 4 Coskun, Izzet 4 Fujita, Naoki 4 Funch Thomsen, Jesper 4 Gaetz, Christian 4 Gao, Yibo 4 Howe, Roger Evans 4 Ikeda, Takeshi 4 Kaveh, Kiumars 4 Kinser, Ryan 4 Koskivirta, Jean-Stefan 4 Kreiman, Victor 4 Kumar, Shrawan 4 Lapid, Erez Moshe 4 Lenart, Cristian 4 Lőrincz, András Cristian 4 McGovern, William Montgomery 4 Mehta, Vikram Bhagvandas 4 Naoi, Katsuyuki 4 Pattanayak, Santosha Kumar 4 Postnikov, Alexander 4 Saha, Pinakinath 4 Seshadri, Conjeeveram Srirangachari 4 Singh, Rahul 4 Tsuchioka, Shunsuke 4 Upadhyay, Shyamashree 4 Warrington, Gregory S. 4 Woo, Alexander K. 4 Yakimov, Milen T. 4 Zelevinskiĭ, Andreĭ V. 3 Baclawski, Kenneth 3 Bonala, Narasimha Chary 3 Bossinger, Lara 3 Caldero, Philippe 3 Danilov, Vladimir I. 3 De Concini, Corrado 3 Dehy, Raika 3 Escobar, Laura 3 Feigin, Evgeny 3 Ghorpade, Sudhir R. 3 Hacon, Christopher Derek 3 Hong, Jaehyun 3 Howard, Benjamin J. 3 Insko, Erik 3 Isaev, Alexander 3 Jones, Brant C. 3 Karzanov, Aleksandr V. 3 Knutson, Allen 3 Lam, Thomas F. 3 Lauritzen, Niels 3 Leclerc, Bernard 3 Li, Changzheng 3 Maffei, Andrea 3 Magyar, Peter 3 Manivel, Laurent 3 Mansour, Toufik 3 Masuda, Mikiya 3 Mathieu, Olivier 3 Mihalcea, Leonardo Constantin 3 Nayek, Arpita 3 Park, Kyeong-Dong 3 Raicu, Claudiu ...and 495 more Authors all top 5 Cited in 119 Serials 79 Journal of Algebra 45 Advances in Mathematics 32 Transformation Groups 25 Journal of Algebraic Combinatorics 22 Journal of Combinatorial Theory. Series A 19 Transactions of the American Mathematical Society 16 Journal of Pure and Applied Algebra 11 Communications in Algebra 11 Annales de l’Institut Fourier 11 Selecta Mathematica. New Series 10 Mathematische Annalen 10 Proceedings of the American Mathematical Society 10 Séminaire Lotharingien de Combinatoire 10 Representation Theory 9 Discrete Mathematics 9 European Journal of Combinatorics 9 Advances in Applied Mathematics 9 Algebras and Representation Theory 8 Duke Mathematical Journal 8 Inventiones Mathematicae 8 Journal of Mathematical Sciences (New York) 7 Mathematische Zeitschrift 7 Michigan Mathematical Journal 7 The Electronic Journal of Combinatorics 6 Communications in Mathematical Physics 6 Annals of Combinatorics 6 Algebraic Combinatorics 5 Pacific Journal of Mathematics 5 Journal of the American Mathematical Society 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Forum of Mathematics, Sigma 4 Compositio Mathematica 4 Geometriae Dedicata 4 Journal of Symbolic Computation 4 Bulletin of the American Mathematical Society. New Series 4 Journal of Algebraic Geometry 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of the London Mathematical Society. Second Series 3 Journal für die Reine und Angewandte Mathematik 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 St. Petersburg Mathematical Journal 3 Documenta Mathematica 3 Journal of the Institute of Mathematics of Jussieu 2 Israel Journal of Mathematics 2 Linear and Multilinear Algebra 2 Journal of Geometry and Physics 2 Acta Mathematica Vietnamica 2 Canadian Journal of Mathematics 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 International Journal of Mathematics 2 International Journal of Algebra and Computation 2 Linear Algebra and its Applications 2 Indagationes Mathematicae. New Series 2 Finite Fields and their Applications 2 Journal of Lie Theory 2 Communications in Contemporary Mathematics 2 Journal of High Energy Physics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Algebra and its Applications 2 Journal of Commutative Algebra 2 Communications in Mathematics 1 Discrete Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Proceedings of the Cambridge Philosophical Society 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 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 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 Order 1 SIAM Journal on Matrix Analysis and Applications 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 1 The Journal of Geometric Analysis 1 The Australasian Journal of Combinatorics 1 Experimental Mathematics 1 Geometry & Topology 1 Journal of Group Theory 1 Annals of Mathematics. Second Series 1 LMS Journal of Computation and Mathematics ...and 19 more Serials all top 5 Cited in 36 Fields 399 Algebraic geometry (14-XX) 212 Combinatorics (05-XX) 168 Group theory and generalizations (20-XX) 121 Nonassociative rings and algebras (17-XX) 67 Commutative algebra (13-XX) 49 Associative rings and algebras (16-XX) 34 Topological groups, Lie groups (22-XX) 32 Order, lattices, ordered algebraic structures (06-XX) 28 Convex and discrete geometry (52-XX) 21 Several complex variables and analytic spaces (32-XX) 20 Quantum theory (81-XX) 17 Manifolds and cell complexes (57-XX) 15 Differential geometry (53-XX) 14 Number theory (11-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 10 \(K\)-theory (19-XX) 10 Algebraic topology (55-XX) 10 Global analysis, analysis on manifolds (58-XX) 6 Functional analysis (46-XX) 4 Category theory; homological algebra (18-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Geometry (51-XX) 4 Computer science (68-XX) 3 Mathematical logic and foundations (03-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Mechanics of particles and systems (70-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) 1 Numerical analysis (65-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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