## Melnikov, Anna

Compute Distance To:
 Author ID: melnikov.anna Published as: Melnikov, Anna; Melnikov, A.
 Documents Indexed: 27 Publications since 1992 5 Contributions as Editor Co-Authors: 11 Co-Authors with 18 Joint Publications 109 Co-Co-Authors
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### Co-Authors

 12 single-authored 7 Fresse, Lucas 3 Hinich, Vladimir 3 Joseph, Anthony 3 Pagnon, Ngoc Gioan Jean 2 Barnea, Nurit 2 Gorelik, Maria 1 Bernstein, Joseph 1 Kirillov, Alexandre Aleksandrovich 1 Mansour, Ronit 1 Penkov, Ivan B. 1 Rentschler, Rudolf 1 Sakas-Obeid, Sammar
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### Serials

 8 Journal of Algebra 4 Progress in Mathematics 3 Indagationes Mathematicae. New Series 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Transformation Groups 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
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### Fields

 25 Nonassociative rings and algebras (17-XX) 16 Algebraic geometry (14-XX) 14 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 Probability theory and stochastic processes (60-XX)

### Citations contained in zbMATH Open

22 Publications have been cited 145 times in 73 Documents Cited by Year
Description of $$\mathbf B$$-orbit closures of order 2 in upper-triangular matrices. Zbl 1196.14040
Melnikov, Anna
2006
$$B$$-orbits in solutions to the equation $$X^2=0$$ in triangular matrices. Zbl 0963.15013
Melnikov, Anna
2000
Irreducibility of the associated varieties of simple highest weight modules in $${\mathfrak{sl}}(n)$$. Zbl 0780.17005
Melnikov, Anna
1993
On the singularity of the irreducible components of a Springer fiber in $${\mathfrak{s}\mathfrak{l}_n}$$. Zbl 1209.14037
Fresse, Lucas; Melnikov, Anna
2010
On orbital variety closures in $$\mathfrak{sl}_n$$. I: Induced Duflo order. Zbl 1077.17008
Melnikov, Anna
2004
B-orbits of nilpotency order 2 and link patterns. Zbl 1276.14068
Melnikov, Anna
2013
B-orbits of square zero in nilradical of the symplectic algebra. Zbl 1426.17004
Barnea, Nurit; Melnikov, Anna
2017
Reducibility of the intersections of components of a Springer fiber. Zbl 1172.14033
Melnikov, A.; Pagnon, N. G. J.
2008
On intersections of orbital varieties and components of Springer fiber. Zbl 1097.17006
Melnikov, A.; Pagnon, N. G. J.
2006
On orbital variety closures in $$\mathfrak{sl}_n$$. III: Geometric properties. Zbl 1227.17002
Melnikov, Anna
2006
Some characterizations of singular components of Springer fibers in the two-column case. Zbl 1244.14037
Fresse, Lucas; Melnikov, Anna
2011
Codimension one intersections of the components of a Springer fiber for the two-column case. Zbl 1180.14049
Melnikov, A.; Pagnon, N. G. J.
2009
On orbital variety closures in $$\mathfrak{sl}_n$$. II: Descendants of a Richardson orbital variety. Zbl 1077.17009
Melnikov, Anna
2004
Unimodality of the distribution of Betti numbers for some Springer fibers. Zbl 1376.17031
Fresse, Lucas; Mansour, Ronit; Melnikov, Anna
2013
Smooth orbital varieties and orbital varieties with a dense $$B$$-orbit. Zbl 1361.17011
Fresse, Lucas; Melnikov, Anna
2013
The combinatorics of orbital varieties closures of nilpotent order 2 in $$\text{sl}_ n$$. Zbl 1083.05041
Melnikov, Anna
2005
On a remarkable sequence of polynomials. Zbl 0883.15009
Kirillov, A. A.; Melnikov, A.
1995
Orbital varieties in $${\mathfrak sl}_n$$ and the Smith conjecture. Zbl 0895.17005
Melnikov, Anna
1998
$$B$$-orbits in abelian nilradicals of types $$B$$, $$C$$ and $$D$$: towards a conjecture of Panyushev. Zbl 1394.17026
Barnea, Nurit; Melnikov, Anna
2016
Quantization of hypersurface orbital varieties in $${\mathfrak{sl}}_n$$. Zbl 1082.17007
Joseph, Anthony; Melnikov, Anna
2003
On varieties in an orbital variety closure in semisimple Lie algebras. Zbl 1102.17007
Melnikov, Anna
2006
Robinson-Schensted procedure and combinatorial properties of the geometric order for $${\mathfrak sl}(n)$$. Zbl 0771.17007
Melnikov, Anna
1992
B-orbits of square zero in nilradical of the symplectic algebra. Zbl 1426.17004
Barnea, Nurit; Melnikov, Anna
2017
$$B$$-orbits in abelian nilradicals of types $$B$$, $$C$$ and $$D$$: towards a conjecture of Panyushev. Zbl 1394.17026
Barnea, Nurit; Melnikov, Anna
2016
B-orbits of nilpotency order 2 and link patterns. Zbl 1276.14068
Melnikov, Anna
2013
Unimodality of the distribution of Betti numbers for some Springer fibers. Zbl 1376.17031
Fresse, Lucas; Mansour, Ronit; Melnikov, Anna
2013
Smooth orbital varieties and orbital varieties with a dense $$B$$-orbit. Zbl 1361.17011
Fresse, Lucas; Melnikov, Anna
2013
Some characterizations of singular components of Springer fibers in the two-column case. Zbl 1244.14037
Fresse, Lucas; Melnikov, Anna
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
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.
2009
Reducibility of the intersections of components of a Springer fiber. Zbl 1172.14033
Melnikov, A.; Pagnon, N. G. J.
2008
Description of $$\mathbf B$$-orbit closures of order 2 in upper-triangular matrices. Zbl 1196.14040
Melnikov, Anna
2006
On intersections of orbital varieties and components of Springer fiber. Zbl 1097.17006
Melnikov, A.; Pagnon, N. G. J.
2006
On orbital variety closures in $$\mathfrak{sl}_n$$. III: Geometric properties. Zbl 1227.17002
Melnikov, Anna
2006
On varieties in an orbital variety closure in semisimple Lie algebras. Zbl 1102.17007
Melnikov, Anna
2006
The combinatorics of orbital varieties closures of nilpotent order 2 in $$\text{sl}_ n$$. Zbl 1083.05041
Melnikov, Anna
2005
On orbital variety closures in $$\mathfrak{sl}_n$$. I: Induced Duflo order. Zbl 1077.17008
Melnikov, Anna
2004
On orbital variety closures in $$\mathfrak{sl}_n$$. II: Descendants of a Richardson orbital variety. Zbl 1077.17009
Melnikov, Anna
2004
Quantization of hypersurface orbital varieties in $${\mathfrak{sl}}_n$$. Zbl 1082.17007
Joseph, Anthony; Melnikov, Anna
2003
$$B$$-orbits in solutions to the equation $$X^2=0$$ in triangular matrices. Zbl 0963.15013
Melnikov, Anna
2000
Orbital varieties in $${\mathfrak sl}_n$$ and the Smith conjecture. Zbl 0895.17005
Melnikov, Anna
1998
On a remarkable sequence of polynomials. Zbl 0883.15009
Kirillov, A. A.; Melnikov, A.
1995
Irreducibility of the associated varieties of simple highest weight modules in $${\mathfrak{sl}}(n)$$. Zbl 0780.17005
Melnikov, Anna
1993
Robinson-Schensted procedure and combinatorial properties of the geometric order for $${\mathfrak sl}(n)$$. Zbl 0771.17007
Melnikov, Anna
1992
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### Cited by 77 Authors

 14 Melnikov, Anna 9 Fresse, Lucas 4 Ignatev, Mikhail V. 4 Tymoczko, Julianna S. 4 Zinn-Justin, Paul 3 Cherniavsky, Yonah 3 Joseph, Anthony 3 Pagnon, Ngoc Gioan Jean 2 Barnea, Nurit 2 Boos, Magdalena 2 Drube, Paul 2 Gandini, Jacopo 2 Knutson, Allen 2 Mansour, Ronit 2 Precup, Martha E. 2 Taşkin, Müge 1 Bagno, Eli 1 Bai, Zhanqiang 1 Barchini, Leticia 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 Griffin, Sean T. 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 Perrin, Nicolas 1 Ponsaing, Anita K. 1 Reutenauer, Christophe 1 Rhoades, Brendon 1 Rimányi, Richárd 1 Rubey, Martin 1 Rudnicki, Piotr 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 Smirnov, Evgeny Yurievich 1 Tarasov, Vitaly Olegovich 1 Thibon, Jean-Yves 1 Trapa, Peter E. 1 Tsai, Ming Cheng 1 Ünlü, Özgün 1 Varchenko, Alexander Nikolaevich 1 Weber, Andrzej 1 Wilbert, Arik 1 Williamson, Geordie 1 Xu, Yunge 1 Yong, Alexander 1 Zierau, Roger
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### Cited in 36 Serials

 11 Journal of Algebra 6 Transformation Groups 3 Proceedings of the American Mathematical Society 3 Indagationes Mathematicae. New Series 3 Journal of Mathematical Sciences (New York) 3 The Electronic Journal of Combinatorics 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 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 Geometriae Dedicata 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 International Journal of Algebra and Computation 1 Journal of Algebraic Combinatorics 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 (AIHPD)
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### Cited in 17 Fields

 40 Nonassociative rings and algebras (17-XX) 38 Algebraic geometry (14-XX) 26 Combinatorics (05-XX) 20 Group theory and generalizations (20-XX) 8 Associative rings and algebras (16-XX) 8 Topological groups, Lie groups (22-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Commutative algebra (13-XX) 3 Quantum theory (81-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 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX)