# zbMATH — the first resource for mathematics

## Lakshmibai, Venkatramani

Compute Distance To:
 Author ID: lakshmibai.venkatramani Published as: Lakshmi Bai, V.; Lakshmibai, V.; Lakshmibai, Venkatramani External Links: MGP · Wikidata
 Documents Indexed: 87 Publications since 1976, including 8 Books Reviewing Activity: 116 Reviews
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#### Co-Authors

 21 single-authored 11 Seshadri, Conjeeveram Srirangachari 7 Magyar, Peter 5 Gonciulea, Nicolae 5 Raghavan, Komaranapuram N. 5 Sankaran, Parameswaran 4 Kreiman, Victor 4 Musili, C. 4 Weyman, Jerzy M. 3 Brown, Justin R. 3 Hodges, Reuven 3 Huneke, Craig L. 3 Littelmann, Peter 3 Rajeswari, Kota Nagalakshmi 3 Reshetikhin, Nikolai Yu. 2 Billey, Sara C. 2 Brown, Jacob D. 2 Mehta, Vikram Bhagvandas 1 Balaji, Vikraman 1 Brion, Michel 1 Brown, Jeffrey D. 1 Brown, Justin M. 1 Can, Mahir Bilen 1 De Concini, Corrado 1 Fossum, Robert M. 1 Haboush, William J. 1 Hochster, Melvin 1 Kummini, Manoj 1 Kuttler, Jochen 1 Nagarajan, K. R. 1 Parameswaran, A. J. 1 Paranjape, Kapil Hari 1 Ravikumar, Vijay 1 Sandhya, B. 1 Sastry, Pramathanath 1 Shukla, P. D. 1 Shukla, Pancham 1 Singh, Rajesh Pratap 1 Singh, Ripudaman 1 Slofstra, William 1 Song, Meimei 1 Sridharan, Ramaiyengar
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#### Serials

 12 Journal of Algebra 10 Comptes Rendus de l’Académie des Sciences. Série I 5 Transformation Groups 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 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 Texts and Readings in Mathematics 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 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 Progress in Mathematics 1 Developments in Mathematics 1 Trends in Mathematics
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#### Fields

 84 Algebraic geometry (14-XX) 34 Group theory and generalizations (20-XX) 17 Nonassociative rings and algebras (17-XX) 11 Commutative algebra (13-XX) 6 Topological groups, Lie groups (22-XX) 3 Combinatorics (05-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 1 History and biography (01-XX) 1 $$K$$-theory (19-XX) 1 Differential geometry (53-XX)

#### Citations contained in zbMATH

76 Publications have been cited 824 times in 486 Documents Cited by Year
Singular loci of Schubert varieties. Zbl 0959.14032
Billey, Sara; Lakshmibai, V.
2000
Criterion for smoothness of Schubert varieties in Sl(n)/B. Zbl 0714.14033
Lakshmibai, V.; Sandhya, B.
1990
Degenerations of flag and Schubert varieties to toric varieties. Zbl 0909.14028
Gonciulea, N.; Lakshmibai, V.
1996
Geometry of G/P. V. Zbl 0618.14026
1986
Geometry of G/P. II: The work of De Concini and Procesi and the basic conjectures. Zbl 0447.14011
1978
Singular locus of a Schubert variety. Zbl 0549.14016
1984
Multiplicities of points on a Schubert variety in a minuscule G/P. Zbl 0729.14037
Lakshmibai, V.; Weyman, J.
1990
Geometry of $$G/P$$. IV: Standard monomial theory for classical types. Zbl 0447.14013
Lakshmibai, V.; Musili, C.; Seshadri, C. S.
1979
A geometric approach to Standard Monomial Theory. Zbl 1053.14056
Brion, M.; Lakshmibai, V.
2003
Standard monomial theory. Zbl 0785.14028
1991
Standard monomial theory. Invariant theoretic approach. Zbl 1137.14036
Lakshmibai, Venkatramani; Raghavan, Komaranapuram N.
2008
Arithmetic Cohen-Macaulayness and arithmetic normality for Schubert varieties. Zbl 0475.14045
De Concini, C.; Lakshmibai, V.
1981
Standard monomial theory and applications. Zbl 1013.17014
Lakshmibai, Venkatramani; Littelmann, Peter; Magyar, Peter
1998
Degeneracy schemes, quiver schemes, and Schubert varieties. Zbl 0936.14001
Lakshmibai, V.; Magyar, Peter
1998
Geometry of G/P. Zbl 0466.14020
Lakshmibai, V.; Musili, C.; Seshadri, C. S.
1979
Quantum flag and Schubert schemes. Zbl 0792.17012
Lakshmibai, V.; Reshetikhin, N.
1992
Geometry of $$G/P$$. III: Standard monomial theory for a quasi-minuscule $$P$$. Zbl 0447.14012
Lakshmibai, V.; Musili, C.; Seshadri, C. S.
1979
Standard monomial theory for Bott–Samelson varieties. Zbl 1061.14051
Lakshmibai, Venkatramani; Littelmann, Peter; Magyar, Peter
2002
Multiplicities of singular points in Schubert varieties of Grassmannians. Zbl 1092.14060
Kreiman, Victor; Lakshmibai, V.
2003
Flag varieties. Zbl 1136.14306
Lakshmibai, V.; Gonciulea, N.
2001
Equivariant Giambelli and determinantal restriction formulas for the Grassmannian. Zbl 1105.14065
Lakshmibai, V.; Raghavan, K. N.; Sankaran, P.
2006
Richardson varieties in the Grassmannian. Zbl 1092.14059
Kreiman, Victor; Lakshmibai, V.
2004
Richardson varieties and equivariant $$K$$-theory. Zbl 1071.14049
Lakshmibai, V.; Littelmann, P.
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.
1987
Frobenius splittings and blow-ups. Zbl 0955.14006
Lakshmibai, V.; Mehta, V. B.; Parameswaran, A. J.
1998
Flag varieties. An interplay of geometry, combinatorics, and representation theory. Zbl 1166.14001
Lakshmibai, V.; Brown, Justin
2009
Bases for quantum Demazure modules. II. Zbl 0848.17020
Lakshmibai, V.
1994
The Grassmannian variety. Geometric and representation-theoretic aspects. Zbl 1343.14001
Lakshmibai, V.; Brown, Justin
2015
The development of standard monomial theory. II. Zbl 1056.14066
Lakshmibai, V.
2003
Bases for quantum Demazure modules. Zbl 0845.17016
Lakshmibai, V.
1995
Degenerations of flag varieties to toric varieties. Zbl 0858.14026
Lakshmibai, Venkatramani
1995
Quantum deformations of flag and Schubert schemes. Zbl 0753.17021
Lakshmibai, Venkatramani; Reshetikhin, Nicolai
1991
Singular loci of Schubert varieties for classical groups. Zbl 0635.14022
Lakshmibai, V.
1987
Singular loci of Grassmann-Hibi toric varieties. Zbl 1203.14056
Brown, J.; Lakshmibai, V.
2010
Singular loci of Bruhat-Hibi toric varieties. Zbl 1154.14038
Brown, J.; Lakshmibai, V.
2008
Schubert varieties, toric varieties and ladder determinantal varieties. Zbl 0878.14033
Gonciulea, Nicolae; Lakshmibai, Venkatramani
1997
Tangent spaces to Schubert varieties. Zbl 0857.14027
Lakshmibai, V.
1995
Standard monomial theory for $$G_ 2$$. Zbl 0605.14041
Lakshmibai, V.
1986
Wahl’s conjecture holds in odd characteristics for symplectic and orthogonal Grassmannians. Zbl 1200.14100
Lakshmibai, Venkatramani; Raghavan, Komaranapuram N.; Sankaran, Parameswaran
2009
Singular loci of ladder determinantal varieties and Schubert varieties. Zbl 1001.14019
Gonciulea, N.; Lakshmibai, V.
2000
Standard monomial theory for Bott-Samelson varieties. Zbl 0907.14020
Lakshmibai, Venkatramani; Magyar, Peter
1997
A characterization of Kempf varieties by means of standard monomials and the geometric consequences. Zbl 0612.14049
Huneke, Craig; Lakshmibai, V.
1985
Kempf varieties. Zbl 0447.14014
Lakshmi Bai, V.
1976
Wahl’s conjecture for a minuscule $$G/P$$. Zbl 1192.14036
Brown, J.; Lakshmibai, V.
2009
Standard bases for affine $$\text{SL}(n)$$-modules. Zbl 1083.17009
Kreiman, V.; Lakshmibai, V.; Magyar, P.; Weyman, J.
2005
Gröbner bases and standard monomial bases. Zbl 0866.13011
Gonciulea, Nicolae; Lakshmibai, Venkatramani
1996
Cotangent bundle to the Grassmann variety. Zbl 1390.14148
Lakshmibai, V.
2016
On ideal generators for affine Schubert varieties. Zbl 1133.14050
Kreiman, V.; Lakshmibai, V.; Magyar, P.; Weyman, J.
2007
Standard monomial bases and geometric consequences for certain rings of invariants. Zbl 1096.14040
Lakshmibai, V.; Shukla, P.
2006
On the singular locus of a Schubert variety. Zbl 0981.14021
Billey, Sara; Lakshmibai, V.
2000
On tangent spaces to Schubert varieties. Zbl 1003.14014
Lakshmibai, V.
2000
Singular loci of varieties of complexes. Zbl 0982.14027
Lakshmibai, V.
2000
Standard monomial theory for Bott-Samelson varieties of GL$$(n)$$. Zbl 0967.14031
Lakshmibai, Venkatramani; Magyar, Peter
1998
A criterion for smoothness of Schubert varieties in $$Sp(2n)/B$$. Zbl 0891.14015
Lakshmibai, V.; Song, M.
1997
Bases of Demazure modules for symmetrizable Kac-Moody algebras. Zbl 0807.17018
Lakshmibai, V.
1993
Degeneracy of Schubert varieties. Zbl 0806.14036
Huneke, Craig; Lakshmibai, V.
1992
Quantum deformations of $$SL_ n/B$$ and its Schubert varieties. Zbl 0779.17014
Lakshmibai, V.; Reshetikhin, N.
1991
Geometry of $$G/P$$. IX: The group $$SO(2n)$$ and the involution $$\sigma$$. Zbl 0698.14058
Lakshmibai, V.; Rajeswari, K. N.
1990
Bases for fundamental representations of classical groups. II. Zbl 0617.14032
Lakshmibai, V.
1986
Bases for fundamental representation of classical groups. I. Zbl 0617.14031
Lakshmibai, V.
1986
Cotangent bundle to the flag variety. I. Zbl 1419.14074
Lakshmibai, V.; Seshadri, C. S.; Singh, R.
2019
Levi subgroup actions on Schubert varieties, induced decompositions of their coordinate rings, and sphericity consequences. Zbl 07042767
Hodges, Reuven; Lakshmibai, Venkatramani
2018
The cotangent bundle of a cominuscule Grassmanian. Zbl 1390.14149
Lakshmibai, V.; Ravikumar, Vijay; Slofstra, William
2016
Free resolutions of some Schubert singularities. Zbl 1342.14103
Kummini, Manoj; Lakshmibai, Venkatramani; Sastry, Pramathanath; Seshadri, Conjeevaram Srirangachari
2015
Singularities of affine Schubert varieties. Zbl 1174.14042
Kuttler, Jochen; Lakshmibai, Venkatramani
2009
Standard monomial bases, moduli spaces of vector bundles, and invariant theory. Zbl 1111.14042
Lakshmibai, V.; Raghavan, K. N.; Sankaran, P.; Shukla, P.
2006
A tribute to C. S. Seshadri. A collection of articles on geometry and representation theory. Zbl 1018.00018
Lakshmibai, V. (ed.); Balaji, V. (ed.); Mehta, V. B. (ed.); Nagarajan, K. R. (ed.); Paranjape, K. (ed.); Sankaran, P. (ed.); Sridharan, R. (ed.)
2003
On tangent spaces to Schubert varieties. II. Zbl 0974.14035
Lakshmibai, V.
2000
Multiplicities of points on a Schubert variety. Zbl 0849.14018
Lakshmibai, Venkatramani
1995
Standard monomial theory for $$\widehat{SL}_ n$$. Zbl 0752.22013
Lakshmibai, V.
1990
Towards a standard monomial theory for exceptional groups. Zbl 0682.14035
Lakshmibai, V.; Rajeswari, K. N.
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
Fossum, R. (ed.); Haboush, W. (ed.); Hochster, M. (ed.); Lakshmibai, V. (ed.)
1989
Standard monomial theory for $$\widehat {SL}_ 2$$. Zbl 0759.22022
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
1988
Théorie monomiale standard pour $$\hat SL_ 2$$. (Standard monomial theory for $$\hat SL_ 2)$$. Zbl 0632.22012
1987
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.
1986
Cotangent bundle to the flag variety. I. Zbl 1419.14074
Lakshmibai, V.; Seshadri, C. S.; Singh, R.
2019
Levi subgroup actions on Schubert varieties, induced decompositions of their coordinate rings, and sphericity consequences. Zbl 07042767
Hodges, Reuven; Lakshmibai, Venkatramani
2018
Cotangent bundle to the Grassmann variety. Zbl 1390.14148
Lakshmibai, V.
2016
The cotangent bundle of a cominuscule Grassmanian. Zbl 1390.14149
Lakshmibai, V.; Ravikumar, Vijay; Slofstra, William
2016
The Grassmannian variety. Geometric and representation-theoretic aspects. Zbl 1343.14001
Lakshmibai, V.; Brown, Justin
2015
Free resolutions of some Schubert singularities. Zbl 1342.14103
Kummini, Manoj; Lakshmibai, Venkatramani; Sastry, Pramathanath; Seshadri, Conjeevaram Srirangachari
2015
Singular loci of Grassmann-Hibi toric varieties. Zbl 1203.14056
Brown, J.; Lakshmibai, V.
2010
Flag varieties. An interplay of geometry, combinatorics, and representation theory. Zbl 1166.14001
Lakshmibai, V.; Brown, Justin
2009
Wahl’s conjecture holds in odd characteristics for symplectic and orthogonal Grassmannians. Zbl 1200.14100
Lakshmibai, Venkatramani; Raghavan, Komaranapuram N.; Sankaran, Parameswaran
2009
Wahl’s conjecture for a minuscule $$G/P$$. Zbl 1192.14036
Brown, J.; Lakshmibai, V.
2009
Singularities of affine Schubert varieties. Zbl 1174.14042
Kuttler, Jochen; Lakshmibai, Venkatramani
2009
Standard monomial theory. Invariant theoretic approach. Zbl 1137.14036
Lakshmibai, Venkatramani; Raghavan, Komaranapuram N.
2008
Singular loci of Bruhat-Hibi toric varieties. Zbl 1154.14038
Brown, J.; Lakshmibai, V.
2008
On ideal generators for affine Schubert varieties. Zbl 1133.14050
Kreiman, V.; Lakshmibai, V.; Magyar, P.; Weyman, J.
2007
Equivariant Giambelli and determinantal restriction formulas for the Grassmannian. Zbl 1105.14065
Lakshmibai, V.; Raghavan, K. N.; Sankaran, P.
2006
Standard monomial bases and geometric consequences for certain rings of invariants. Zbl 1096.14040
Lakshmibai, V.; Shukla, P.
2006
Standard monomial bases, moduli spaces of vector bundles, and invariant theory. Zbl 1111.14042
Lakshmibai, V.; Raghavan, K. N.; Sankaran, P.; Shukla, P.
2006
Standard bases for affine $$\text{SL}(n)$$-modules. Zbl 1083.17009
Kreiman, V.; Lakshmibai, V.; Magyar, P.; Weyman, J.
2005
Richardson varieties in the Grassmannian. Zbl 1092.14059
Kreiman, Victor; Lakshmibai, V.
2004
A geometric approach to Standard Monomial Theory. Zbl 1053.14056
Brion, M.; Lakshmibai, V.
2003
Multiplicities of singular points in Schubert varieties of Grassmannians. Zbl 1092.14060
Kreiman, Victor; Lakshmibai, V.
2003
Richardson varieties and equivariant $$K$$-theory. Zbl 1071.14049
Lakshmibai, V.; Littelmann, P.
2003
The development of standard monomial theory. II. Zbl 1056.14066
Lakshmibai, V.
2003
A tribute to C. S. Seshadri. A collection of articles on geometry and representation theory. Zbl 1018.00018
Lakshmibai, V. (ed.); Balaji, V. (ed.); Mehta, V. B. (ed.); Nagarajan, K. R. (ed.); Paranjape, K. (ed.); Sankaran, P. (ed.); Sridharan, R. (ed.)
2003
Standard monomial theory for Bott–Samelson varieties. Zbl 1061.14051
Lakshmibai, Venkatramani; Littelmann, Peter; Magyar, Peter
2002
Flag varieties. Zbl 1136.14306
Lakshmibai, V.; Gonciulea, N.
2001
Singular loci of Schubert varieties. Zbl 0959.14032
Billey, Sara; Lakshmibai, V.
2000
Singular loci of ladder determinantal varieties and Schubert varieties. Zbl 1001.14019
Gonciulea, N.; Lakshmibai, V.
2000
On the singular locus of a Schubert variety. Zbl 0981.14021
Billey, Sara; Lakshmibai, V.
2000
On tangent spaces to Schubert varieties. Zbl 1003.14014
Lakshmibai, V.
2000
Singular loci of varieties of complexes. Zbl 0982.14027
Lakshmibai, V.
2000
On tangent spaces to Schubert varieties. II. Zbl 0974.14035
Lakshmibai, V.
2000
Standard monomial theory and applications. Zbl 1013.17014
Lakshmibai, Venkatramani; Littelmann, Peter; Magyar, Peter
1998
Degeneracy schemes, quiver schemes, and Schubert varieties. Zbl 0936.14001
Lakshmibai, V.; Magyar, Peter
1998
Frobenius splittings and blow-ups. Zbl 0955.14006
Lakshmibai, V.; Mehta, V. B.; Parameswaran, A. J.
1998
Standard monomial theory for Bott-Samelson varieties of GL$$(n)$$. Zbl 0967.14031
Lakshmibai, Venkatramani; Magyar, Peter
1998
Schubert varieties, toric varieties and ladder determinantal varieties. Zbl 0878.14033
Gonciulea, Nicolae; Lakshmibai, Venkatramani
1997
Standard monomial theory for Bott-Samelson varieties. Zbl 0907.14020
Lakshmibai, Venkatramani; Magyar, Peter
1997
A criterion for smoothness of Schubert varieties in $$Sp(2n)/B$$. Zbl 0891.14015
Lakshmibai, V.; Song, M.
1997
Degenerations of flag and Schubert varieties to toric varieties. Zbl 0909.14028
Gonciulea, N.; Lakshmibai, V.
1996
Gröbner bases and standard monomial bases. Zbl 0866.13011
Gonciulea, Nicolae; Lakshmibai, Venkatramani
1996
Bases for quantum Demazure modules. Zbl 0845.17016
Lakshmibai, V.
1995
Degenerations of flag varieties to toric varieties. Zbl 0858.14026
Lakshmibai, Venkatramani
1995
Tangent spaces to Schubert varieties. Zbl 0857.14027
Lakshmibai, V.
1995
Multiplicities of points on a Schubert variety. Zbl 0849.14018
Lakshmibai, Venkatramani
1995
Bases for quantum Demazure modules. II. Zbl 0848.17020
Lakshmibai, V.
1994
Bases of Demazure modules for symmetrizable Kac-Moody algebras. Zbl 0807.17018
Lakshmibai, V.
1993
Quantum flag and Schubert schemes. Zbl 0792.17012
Lakshmibai, V.; Reshetikhin, N.
1992
Degeneracy of Schubert varieties. Zbl 0806.14036
Huneke, Craig; Lakshmibai, V.
1992
Standard monomial theory. Zbl 0785.14028
1991
Quantum deformations of flag and Schubert schemes. Zbl 0753.17021
Lakshmibai, Venkatramani; Reshetikhin, Nicolai
1991
Quantum deformations of $$SL_ n/B$$ and its Schubert varieties. Zbl 0779.17014
Lakshmibai, V.; Reshetikhin, N.
1991
Criterion for smoothness of Schubert varieties in Sl(n)/B. Zbl 0714.14033
Lakshmibai, V.; Sandhya, B.
1990
Multiplicities of points on a Schubert variety in a minuscule G/P. Zbl 0729.14037
Lakshmibai, V.; Weyman, J.
1990
Geometry of $$G/P$$. IX: The group $$SO(2n)$$ and the involution $$\sigma$$. Zbl 0698.14058
Lakshmibai, V.; Rajeswari, K. N.
1990
Standard monomial theory for $$\widehat{SL}_ n$$. Zbl 0752.22013
Lakshmibai, V.
1990
Towards a standard monomial theory for exceptional groups. Zbl 0682.14035
Lakshmibai, V.; Rajeswari, K. N.
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
Fossum, R. (ed.); Haboush, W. (ed.); Hochster, M. (ed.); Lakshmibai, V. (ed.)
1989
Standard monomial theory for $$\widehat {SL}_ 2$$. Zbl 0759.22022
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
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.
1987
Singular loci of Schubert varieties for classical groups. Zbl 0635.14022
Lakshmibai, V.
1987
Théorie monomiale standard pour $$\hat SL_ 2$$. (Standard monomial theory for $$\hat SL_ 2)$$. Zbl 0632.22012
1987
Geometry of G/P. V. Zbl 0618.14026
1986
Standard monomial theory for $$G_ 2$$. Zbl 0605.14041
Lakshmibai, V.
1986
Bases for fundamental representations of classical groups. II. Zbl 0617.14032
Lakshmibai, V.
1986
Bases for fundamental representation of classical groups. I. Zbl 0617.14031
Lakshmibai, V.
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.
1986
A characterization of Kempf varieties by means of standard monomials and the geometric consequences. Zbl 0612.14049
Huneke, Craig; Lakshmibai, V.
1985
Singular locus of a Schubert variety. Zbl 0549.14016
1984
Arithmetic Cohen-Macaulayness and arithmetic normality for Schubert varieties. Zbl 0475.14045
De Concini, C.; Lakshmibai, V.
1981
Geometry of $$G/P$$. IV: Standard monomial theory for classical types. Zbl 0447.14013
Lakshmibai, V.; Musili, C.; Seshadri, C. S.
1979
Geometry of G/P. Zbl 0466.14020
Lakshmibai, V.; Musili, C.; Seshadri, C. S.
1979
Geometry of $$G/P$$. III: Standard monomial theory for a quasi-minuscule $$P$$. Zbl 0447.14012
Lakshmibai, V.; Musili, C.; Seshadri, C. S.
1979
Geometry of G/P. II: The work of De Concini and Procesi and the basic conjectures. Zbl 0447.14011
1978
Kempf varieties. Zbl 0447.14014
Lakshmi Bai, V.
1976
all top 5

#### Cited by 526 Authors

 31 Lakshmibai, Venkatramani 11 Littelmann, Peter 10 Kim, Sangjib 9 Raghavan, Komaranapuram N. 9 Yong, Alexander 8 Billey, Sara C. 8 Fourier, Ghislain 8 Richmond, Edward 7 Fioresi, Rita 7 Ignatyev, Mikhail V. 7 Vavilov, Nikolaĭ Aleksandrovich 6 Brenti, Francesco 6 Lee, Soo Teck 6 Proctor, Robert A. 6 Sankaran, Parameswaran 6 Slofstra, William 5 Skovsted Buch, Anders 5 Caselli, Fabrizio 5 Chirivì, Rocco 5 Fang, Xin 5 Gonciulea, Nicolae 5 Lascoux, Alain 5 Perrin, Nicolas 4 Coskun, Izzet 4 Funch Thomsen, Jesper 4 Howe, Roger Evans 4 Hultman, Axel 4 Ikeda, Takeshi 4 Koskivirta, Jean-Stefan 4 Kumar, Shrawan 4 Lenart, Cristian 4 McGovern, William Montgomery 4 Mehta, Vikram Bhagvandas 4 Naoi, Katsuyuki 4 Pattanayak, Santosha Kumar 4 Postnikov, Alexander 4 Rajchgot, Jenna Beth 4 Seshadri, Conjeeveram Srirangachari 4 Tsuchioka, Shunsuke 4 Tymoczko, Julianna S. 4 Upadhyay, Shyamashree 4 Warrington, Gregory S. 4 Woo, Alexander K. 4 Yakimov, Milen T. 4 Zelevinskiĭ, Andreĭ V. 3 Baclawski, Kenneth 3 Caldero, Philippe 3 Can, Mahir Bilen 3 De Concini, Corrado 3 Dehy, Raika 3 Ghorpade, Sudhir R. 3 Hacon, Christopher Derek 3 Howard, Benjamin J. 3 Isaev, Alexander 3 Jones, Brant C. 3 Kannan, Subramaniam Senthamarai 3 Kaveh, Kiumars 3 Kinser, Ryan 3 Knutson, Allen 3 Kreiman, Victor 3 Lam, Thomas F. 3 Lapid, Erez Moshe 3 Lauritzen, Niels 3 Leclerc, Bernard 3 Maffei, Andrea 3 Magyar, Peter 3 Manivel, Laurent 3 Mansour, Toufik 3 Mathieu, Olivier 3 Mihalcea, Leonardo Constantin 3 Ó Buachalla, Réamonn 3 Pechenik, Oliver 3 Robles, Colleen 3 Schiffler, Ralf 3 Scrimshaw, Travis 3 Shevchenko, Aleksandr A. 3 Shimozono, Mark 3 Skandera, Mark 3 van Straten, Duco 3 Weyman, Jerzy M. 3 Willis, Matthew J. 2 Alland, Timothy 2 Anderson, Dave Edward 2 Balan, Michaël 2 Batyrev, Victor V. 2 Beazley, Elizabeth T. 2 Belkale, Prakash 2 Björner, Anders 2 Bossinger, Lara 2 Brignall, Robert 2 Brown, Jacob D. 2 Chernyakov, Yuri B. 2 Cho, Yunhyung 2 Ciocan-Fontanine, Ionuţ 2 Clarke, Oliver 2 Cortez, Aurélie 2 Danilov, Vladimir I. 2 Duan, Haibao 2 Eliseev, D. Yu. 2 Escobar, Laura ...and 426 more Authors
all top 5

#### Cited in 102 Serials

 72 Journal of Algebra 43 Advances in Mathematics 25 Transformation Groups 24 Journal of Algebraic Combinatorics 20 Journal of Combinatorial Theory. Series A 19 Transactions of the American Mathematical Society 13 Journal of Pure and Applied Algebra 11 Communications in Algebra 10 Proceedings of the American Mathematical Society 9 Discrete Mathematics 9 Annales de l’Institut Fourier 9 European Journal of Combinatorics 9 Algebras and Representation Theory 8 Duke Mathematical Journal 8 Inventiones Mathematicae 8 Mathematische Annalen 8 Advances in Applied Mathematics 8 Journal of Mathematical Sciences (New York) 8 Representation Theory 7 Michigan Mathematical Journal 7 Selecta Mathematica. New Series 6 Communications in Mathematical Physics 6 Séminaire Lotharingien de Combinatoire 5 Journal of the American Mathematical Society 5 Annals of Combinatorics 4 Compositio Mathematica 4 Bulletin of the American Mathematical Society. New Series 4 Journal of Algebraic Geometry 3 Journal für die Reine und Angewandte Mathematik 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Journal of Symbolic Computation 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 St. Petersburg Mathematical Journal 3 The Electronic Journal of Combinatorics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Israel Journal of Mathematics 2 Linear and Multilinear Algebra 2 Journal of Geometry and Physics 2 Functional Analysis and its Applications 2 Illinois Journal of Mathematics 2 Publications Mathématiques 2 Mathematische Zeitschrift 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 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 High Energy Physics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of the Institute of Mathematics of Jussieu 2 Journal of Algebra and its Applications 2 Journal of Commutative Algebra 1 Discrete Applied Mathematics 1 Nuclear Physics. B 1 Arkiv för Matematik 1 Chaos, Solitons and Fractals 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Canadian Journal of Mathematics 1 Geometriae Dedicata 1 Journal of the London Mathematical Society. Second Series 1 Pacific 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 Tohoku Mathematical Journal. Second Series 1 Transactions of the Moscow Mathematical Society 1 Combinatorica 1 Order 1 SIAM Journal on Discrete Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Experimental Mathematics 1 Documenta Mathematica 1 Journal of Group Theory 1 Annals of Mathematics. Second Series 1 LMS Journal of Computation and Mathematics 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Living Reviews in Relativity 1 Journal of the Australian Mathematical Society 1 Central European Journal of Mathematics 1 Missouri Journal of Mathematical Sciences 1 Journal of Noncommutative Geometry 1 Ars Mathematica Contemporanea 1 International Journal of Combinatorics 1 Communications in Mathematics 1 Forum of Mathematics, Sigma 1 Research in the Mathematical Sciences 1 Arnold Mathematical Journal 1 European Journal of Mathematics ...and 2 more Serials
all top 5

#### Cited in 33 Fields

 317 Algebraic geometry (14-XX) 164 Combinatorics (05-XX) 147 Group theory and generalizations (20-XX) 106 Nonassociative rings and algebras (17-XX) 50 Commutative algebra (13-XX) 37 Associative rings and algebras (16-XX) 29 Topological groups, Lie groups (22-XX) 28 Order, lattices, ordered algebraic structures (06-XX) 20 Convex and discrete geometry (52-XX) 18 Quantum theory (81-XX) 16 Several complex variables and analytic spaces (32-XX) 12 Differential geometry (53-XX) 11 Number theory (11-XX) 11 Manifolds and cell complexes (57-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 $$K$$-theory (19-XX) 7 Algebraic topology (55-XX) 6 Functional analysis (46-XX) 5 Geometry (51-XX) 4 Category theory; homological algebra (18-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX)

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