Edit Profile (opens in new tab) Melnikov, Anna Co-Author Distance Author ID: melnikov.anna Published as: Melnikov, Anna; Melnikov, A. Documents Indexed: 30 Publications since 1992, including 1 Additional arXiv Preprint 5 Contributions as Editor Co-Authors: 11 Co-Authors with 20 Joint Publications 123 Co-Co-Authors all top 5 Co-Authors 13 single-authored 7 Fresse, Lucas 3 Hinich, Vladimir 3 Joseph, Anthony 3 Mansour, Ronit 3 Pagnon, Ngoc Gioan Jean 2 Barnea, Nurit 2 Gorelik, Maria 1 Bernstein, Joseph 1 Kirillov, Alexandre Aleksandrovich 1 Penkov, Ivan B. 1 Rentschler, Rudolf 1 Sakas-Obeid, Sammar all top 5 Serials 8 Journal of Algebra 4 Transformation Groups 4 Progress in Mathematics 3 Indagationes Mathematicae. New Series 2 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Random Operators and Stochastic Equations 1 The Electronic Journal of Combinatorics 1 Selecta Mathematica. New Series 1 Algebras and Representation Theory 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris all top 5 Fields 25 Nonassociative rings and algebras (17-XX) 18 Algebraic geometry (14-XX) 16 Combinatorics (05-XX) 6 Group theory and generalizations (20-XX) 4 General and overarching topics; collections (00-XX) 3 Topological groups, Lie groups (22-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 166 times in 87 Documents Cited by ▼ Year ▼ Description of \(\mathbf B\)-orbit closures of order 2 in upper-triangular matrices. Zbl 1196.14040 Melnikov, Anna 23 2006 \(B\)-orbits in solutions to the equation \(X^2=0\) in triangular matrices. Zbl 0963.15013 Melnikov, Anna 20 2000 On the singularity of the irreducible components of a Springer fiber in \({\mathfrak{s}\mathfrak{l}_n}\). Zbl 1209.14037 Fresse, Lucas; Melnikov, Anna 17 2010 Irreducibility of the associated varieties of simple highest weight modules in \({\mathfrak{sl}}(n)\). Zbl 0780.17005 Melnikov, Anna 13 1993 B-orbits of nilpotency order 2 and link patterns. Zbl 1276.14068 Melnikov, Anna 12 2013 On orbital variety closures in \(\mathfrak{sl}_n\). I: Induced Duflo order. Zbl 1077.17008 Melnikov, Anna 11 2004 Some characterizations of singular components of Springer fibers in the two-column case. Zbl 1244.14037 Fresse, Lucas; Melnikov, Anna 7 2011 B-orbits of square zero in nilradical of the symplectic algebra. Zbl 1426.17004 Barnea, Nurit; Melnikov, Anna 6 2017 Unimodality of the distribution of Betti numbers for some Springer fibers. Zbl 1376.17031 Fresse, Lucas; Mansour, Ronit; Melnikov, Anna 6 2013 Reducibility of the intersections of components of a Springer fiber. Zbl 1172.14033 Melnikov, A.; Pagnon, N. G. J. 5 2008 On intersections of orbital varieties and components of Springer fiber. Zbl 1097.17006 Melnikov, A.; Pagnon, N. G. J. 5 2006 On orbital variety closures in \(\mathfrak{sl}_n\). III: Geometric properties. Zbl 1227.17002 Melnikov, Anna 5 2006 Quantization of hypersurface orbital varieties in \({\mathfrak{sl}}_n\). Zbl 1082.17007 Joseph, Anthony; Melnikov, Anna 5 2003 Smooth orbital varieties and orbital varieties with a dense \(B\)-orbit. Zbl 1361.17011 Fresse, Lucas; Melnikov, Anna 5 2013 Codimension one intersections of the components of a Springer fiber for the two-column case. Zbl 1180.14049 Melnikov, A.; Pagnon, N. G. J. 4 2009 On orbital variety closures in \(\mathfrak{sl}_n\). II: Descendants of a Richardson orbital variety. Zbl 1077.17009 Melnikov, Anna 4 2004 On a remarkable sequence of polynomials. Zbl 0883.15009 Kirillov, A. A.; Melnikov, A. 4 1995 On the structure of smooth components of Springer fibers. Zbl 1329.14096 Fresse, Lucas; Melnikov, Anna; Sakas-Obeid, Sammar 4 2015 Orbital varieties in \({\mathfrak sl}_n\) and the Smith conjecture. Zbl 0895.17005 Melnikov, Anna 3 1998 The combinatorics of orbital varieties closures of nilpotent order 2 in \(\text{sl}_ n\). Zbl 1083.05041 Melnikov, Anna 3 2005 On varieties in an orbital variety closure in semisimple Lie algebras. Zbl 1102.17007 Melnikov, Anna 2 2006 \(B\)-orbits in abelian nilradicals of types \(B\), \(C\) and \(D\): towards a conjecture of Panyushev. Zbl 1394.17026 Barnea, Nurit; Melnikov, Anna 2 2016 Studies in memory of Issai Schur. Zbl 1005.00049 1 2003 Robinson-Schensted procedure and combinatorial properties of the geometric order for \({\mathfrak sl}(n)\). Zbl 0771.17007 Melnikov, Anna 1 1992 The components of the singular locus of a component of a Springer fiber over \(x^2 = 0\). Zbl 1498.14125 Mansour, Ronit; Melnikov, Anna 1 2022 On the existence of smooth orbital varieties in simple Lie algebras. Zbl 1484.17012 Fresse, Lucas; Melnikov, Anna 1 2020 The components of the singular locus of a component of a Springer fiber over \(x^2 = 0\). Zbl 1498.14125 Mansour, Ronit; Melnikov, Anna 1 2022 On the existence of smooth orbital varieties in simple Lie algebras. Zbl 1484.17012 Fresse, Lucas; Melnikov, Anna 1 2020 B-orbits of square zero in nilradical of the symplectic algebra. Zbl 1426.17004 Barnea, Nurit; Melnikov, Anna 6 2017 \(B\)-orbits in abelian nilradicals of types \(B\), \(C\) and \(D\): towards a conjecture of Panyushev. Zbl 1394.17026 Barnea, Nurit; Melnikov, Anna 2 2016 On the structure of smooth components of Springer fibers. Zbl 1329.14096 Fresse, Lucas; Melnikov, Anna; Sakas-Obeid, Sammar 4 2015 B-orbits of nilpotency order 2 and link patterns. Zbl 1276.14068 Melnikov, Anna 12 2013 Unimodality of the distribution of Betti numbers for some Springer fibers. Zbl 1376.17031 Fresse, Lucas; Mansour, Ronit; Melnikov, Anna 6 2013 Smooth orbital varieties and orbital varieties with a dense \(B\)-orbit. Zbl 1361.17011 Fresse, Lucas; Melnikov, Anna 5 2013 Some characterizations of singular components of Springer fibers in the two-column case. Zbl 1244.14037 Fresse, Lucas; Melnikov, Anna 7 2011 On the singularity of the irreducible components of a Springer fiber in \({\mathfrak{s}\mathfrak{l}_n}\). Zbl 1209.14037 Fresse, Lucas; Melnikov, Anna 17 2010 Codimension one intersections of the components of a Springer fiber for the two-column case. Zbl 1180.14049 Melnikov, A.; Pagnon, N. G. J. 4 2009 Reducibility of the intersections of components of a Springer fiber. Zbl 1172.14033 Melnikov, A.; Pagnon, N. G. J. 5 2008 Description of \(\mathbf B\)-orbit closures of order 2 in upper-triangular matrices. Zbl 1196.14040 Melnikov, Anna 23 2006 On intersections of orbital varieties and components of Springer fiber. Zbl 1097.17006 Melnikov, A.; Pagnon, N. G. J. 5 2006 On orbital variety closures in \(\mathfrak{sl}_n\). III: Geometric properties. Zbl 1227.17002 Melnikov, Anna 5 2006 On varieties in an orbital variety closure in semisimple Lie algebras. Zbl 1102.17007 Melnikov, Anna 2 2006 The combinatorics of orbital varieties closures of nilpotent order 2 in \(\text{sl}_ n\). Zbl 1083.05041 Melnikov, Anna 3 2005 On orbital variety closures in \(\mathfrak{sl}_n\). I: Induced Duflo order. Zbl 1077.17008 Melnikov, Anna 11 2004 On orbital variety closures in \(\mathfrak{sl}_n\). II: Descendants of a Richardson orbital variety. Zbl 1077.17009 Melnikov, Anna 4 2004 Quantization of hypersurface orbital varieties in \({\mathfrak{sl}}_n\). Zbl 1082.17007 Joseph, Anthony; Melnikov, Anna 5 2003 Studies in memory of Issai Schur. Zbl 1005.00049 1 2003 \(B\)-orbits in solutions to the equation \(X^2=0\) in triangular matrices. Zbl 0963.15013 Melnikov, Anna 20 2000 Orbital varieties in \({\mathfrak sl}_n\) and the Smith conjecture. Zbl 0895.17005 Melnikov, Anna 3 1998 On a remarkable sequence of polynomials. Zbl 0883.15009 Kirillov, A. A.; Melnikov, A. 4 1995 Irreducibility of the associated varieties of simple highest weight modules in \({\mathfrak{sl}}(n)\). Zbl 0780.17005 Melnikov, Anna 13 1993 Robinson-Schensted procedure and combinatorial properties of the geometric order for \({\mathfrak sl}(n)\). Zbl 0771.17007 Melnikov, Anna 1 1992 all cited Publications top 5 cited Publications all top 5 Cited by 87 Authors 17 Melnikov, Anna 10 Fresse, Lucas 6 Mansour, Ronit 4 Tymoczko, Julianna S. 4 Zinn-Justin, Paul 3 Cherniavsky, Yonah 3 Fittouhi, Yasmine 3 Ignatev, Mikhail V. 3 Joseph, Anthony 3 Pagnon, Ngoc Gioan Jean 3 Precup, Martha E. 2 Barnea, Nurit 2 Boos, Magdalena 2 Drube, Paul 2 Gandini, Jacopo 2 Knutson, Allen 2 Perrin, Nicolas 2 Saunders, Neil 2 Smirnov, Evgeny Yurievich 2 Taşkin, Müge 2 Wilbert, Arik 1 Azam, Faqruddin Ali 1 Bagno, Eli 1 Bai, Zhanqiang 1 Barchini, Leticia 1 Bender, Martin H. 1 Benlolo, Élise 1 Bogale, Meaza 1 Borho, Walter 1 Can, Mahir Bilen 1 Carnovale, Giovanna 1 Cerulli Irelli, Giovanni 1 Chen, Yuan 1 Esposito, Francesco 1 Fauquant-Millet, Florence 1 Fu, Wenhao 1 Graham, William A. 1 Griesemer, Marcel 1 Griffin, Sean T. 1 Hasler, David G. 1 Heckenberger, István 1 Huang, Huajun 1 Im, Mee Seong 1 Insko, Erik 1 Jones, Benjamin F. 1 Lai, Chun-Ju 1 Li, Huanhuan 1 Maeda, Takashi 1 Maffei, Andrea 1 Malvenuto, Claudia 1 McGovern, William Montgomery 1 Möseneder Frajria, Pierluigi 1 Musson, Ian M. 1 Nakano, Daniel K. 1 Novelli, Jean-Christophe 1 Nzeutchap, Janvier 1 Panov, Aleksandr Nikolaevich 1 Panyushev, Dmitri Ivanovich 1 Papi, Paolo 1 Ponsaing, Anita K. 1 Reutenauer, Christophe 1 Rhoades, Brendon 1 Richmond, Edward 1 Rimányi, Richárd 1 Rubey, Martin 1 Rudnicki, Piotr 1 Russell, Amber 1 Russell, Heather M. 1 Sakas-Obeid, Sammar 1 Sanderson, Yasmine B. 1 Sauter, Julia 1 Schneider, Hans-Jürgen 1 Şentürk, Berrin 1 Singh, Rahul 1 Skandera, Mark 1 Tarasov, Vitaly Olegovich 1 Thibon, Jean-Yves 1 Topley, Lewis William 1 Trapa, Peter E. 1 Tsai, Ming Cheng 1 Ünlü, Özgün 1 Varchenko, Alexander Nikolaevich 1 Weber, Andrzej 1 Williamson, Geordie 1 Xu, Yunge 1 Yong, Alexander 1 Zierau, Roger all top 5 Cited in 40 Serials 13 Journal of Algebra 9 Transformation Groups 4 Proceedings of the American Mathematical Society 4 The Electronic Journal of Combinatorics 3 Indagationes Mathematicae. New Series 3 Journal of Algebraic Combinatorics 3 Journal of Mathematical Sciences (New York) 3 Algebras and Representation Theory 2 Journal of Geometry and Physics 2 Advances in Mathematics 2 Journal of Combinatorial Theory. Series A 2 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 European Journal of Combinatorics 2 Linear Algebra and its Applications 2 Representation Theory 1 Communications in Algebra 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Geometriae Dedicata 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Quaestiones Mathematicae 1 Advances in Applied Mathematics 1 International Journal of Algebra and Computation 1 Journal of Lie Theory 1 Annals of Combinatorics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 JP Journal of Algebra, Number Theory and Applications 1 Communications in Mathematics 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions all top 5 Cited in 18 Fields 48 Nonassociative rings and algebras (17-XX) 47 Algebraic geometry (14-XX) 35 Combinatorics (05-XX) 24 Group theory and generalizations (20-XX) 8 Associative rings and algebras (16-XX) 8 Topological groups, Lie groups (22-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Quantum theory (81-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Commutative algebra (13-XX) 2 Algebraic topology (55-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) Citations by Year