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## Lenart, Cristian

Compute Distance To:
 Author ID: lenart.cristian Published as: Lenart, C.; Lenart, Cristian
 Documents Indexed: 61 Publications since 1987
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#### Co-Authors

 23 single-authored 9 Schilling, Anne 8 Shimozono, Mark 7 Naito, Satoshi 7 Sagaki, Daisuke 5 Lecouvey, Cédric 4 Lubovsky, Arthur 4 Zainoulline, Kirill 3 Sottile, Frank 2 Hersh, Patricia 2 Postnikov, Alexander 2 Ray, Nigel 1 Lee, Kyu-Hwan 1 Liu, Dongwen 1 Maeno, Toshiaki 1 Robinson, Shawn 1 Scrimshaw, Travis 1 Zhong, Changlong
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#### Serials

 7 Advances in Mathematics 5 IMRN. International Mathematics Research Notices 4 Journal of Algebraic Combinatorics 3 Discrete Mathematics 3 Journal of Algebra 3 Studia Universitatis Babeş-Bolyai. Mathematica 2 American Journal of Mathematics 2 Journal of Combinatorial Theory. Series A 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Séminaire Lotharingien de Combinatoire 2 Journal of the Institute of Mathematics of Jussieu 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Journal of Pure and Applied Algebra 1 SIAM Journal on Discrete Mathematics 1 The Electronic Journal of Combinatorics 1 The New York Journal of Mathematics 1 Mathematical Research Letters 1 Transformation Groups 1 Annals of Combinatorics 1 Toyama Mathematical Journal 1 Algebra & Number Theory 1 Preprint. “Babeş-Bolyai” University. Faculty of Mathematics and Physics. Research Seminars
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#### Fields

 47 Combinatorics (05-XX) 22 Nonassociative rings and algebras (17-XX) 17 Algebraic geometry (14-XX) 14 Group theory and generalizations (20-XX) 10 $$K$$-theory (19-XX) 5 Topological groups, Lie groups (22-XX) 5 Special functions (33-XX) 5 Algebraic topology (55-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Statistics (62-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Approximations and expansions (41-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH

45 Publications have been cited 341 times in 190 Documents Cited by Year
Combinatorial aspects of the $$K$$-theory of Grassmannians. Zbl 0958.05128
Lenart, Cristian
2000
Affine Weyl groups in $$K$$-Theory and representation theory. Zbl 1137.14037
Lenart, Cristian; Postnikov, Alexander
2007
A uniform model for Kirillov-Reshetikhin crystals. I: Lifting the parabolic quantum Bruhat graph. Zbl 1394.05143
Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke; Schilling, Anne; Shimozono, Mark
2015
On the combinatorics of crystal graphs. I: Lusztig’s involution. Zbl 1129.05058
Lenart, Cristian
2007
A combinatorial model for crystals of Kac-Moody algebras. Zbl 1211.17021
Lenart, Cristian; Postnikov, Alexander
2008
A uniform model for Kirillov-Reshetikhin crystals. III: Nonsymmetric Macdonald polynomials at $$t = 0$$ and Demazure characters. Zbl 1428.05325
Lenart, C.; Naito, S.; Sagaki, D.; Schilling, A.; Shimozono, M.
2017
A unified approach to combinatorial formulas for Schubert polynomials. Zbl 1056.05146
Lenart, Cristian
2004
Quantum Lakshmibai-Seshadri paths and root operators. Zbl 1418.17036
Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke; Schilling, Anne; Shimozono, Mark
2016
Towards generalized cohomology Schubert calculus via formal root polynomials. Zbl 1393.14048
Lenart, Cristian; Zainoulline, Kirill
2017
A generalization of the alcove model and its applications. Zbl 1314.05224
Lenart, Cristian; Lubovsky, Arthur
2015
From Macdonald polynomials to a charge statistic beyond type $$A$$. Zbl 1234.05233
Lenart, Cristian
2012
A uniform model for Kirillov-Reshetikhin crystals. II: Alcove model, path model, and $$P=X$$. Zbl 1405.05194
Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke; Schilling, Anne; Shimozono, Mark
2017
Formal group-theoretic generalizations of the necklace algebra, including a $$q$$-deformation. Zbl 0915.05011
Lenart, Cristian
1998
A uniform model for Kirillov-Reshetikhin crystals. Zbl 1294.05151
Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke; Schilling, Anne; Shimozono, Mark
2013
Grothendieck polynomials via permutation patterns and chains in the Bruhat order. Zbl 1149.14039
Lenart, Cristian; Robinson, Shawn; Sottile, Frank
2006
A Schubert basis in equivariant elliptic cohomology. Zbl 1369.14059
Lenart, Cristian; Zainoulline, Kirill
2017
Crystal energy functions via the charge in types $$A$$ and $$C$$. Zbl 1258.05125
Lenart, Cristian; Schilling, Anne
2013
Hall-Littlewood polynomials, alcove walks, and fillings of Young diagrams. Zbl 1208.17012
Lenart, Cristian
2011
Lagrange inversion and Schur functions. Zbl 0944.05096
Lenart, Cristian
2000
Haglund-Haiman-Loehr type formulas for Hall-Littlewood polynomials of type B and C. Zbl 1229.05274
Lenart, Cristian
2010
On combinatorial formulas for MacDonald polynomials. Zbl 1247.05261
Lenart, Cristian
2009
A $$K$$-theory version of Monk’s formula and some related multiplication formulas. Zbl 1063.14060
Lenart, Cristian
2003
Noncommutative Schubert calculus and Grothendieck polynomials. Zbl 0978.05074
Lenart, Cristian
1999
Skew Schubert polynomials. Zbl 1033.05097
Lenart, Cristian; Sottile, Frank
2003
A uniform realization of the combinatorial $$R$$-matrix. Zbl 1335.05198
Lenart, Cristian; Lubovsky, Arthur
2015
Equivariant $$K$$-Chevalley rules for Kac-Moody flag manifolds. Zbl 1328.19012
Lenart, Cristian; Shimozono, Mark
2014
A Pieri-type formula for the $${K}$$-theory of a flag manifold. Zbl 1111.14047
Lenart, Cristian; Sottile, Frank
2007
The $$K$$-theory of the flag variety and the Fomin–Kirillov quadratic algebra. Zbl 1074.14046
Lenart, Cristian
2005
From the weak Bruhat order to crystal posets. Zbl 1371.05315
Hersh, Patricia; Lenart, Cristian
2017
On the combinatorics of crystal graphs. II: The crystal commutor. Zbl 1129.05059
Lenart, Cristian
2008
The combinatorics of Steenrod operations on the cohomology of Grassmannians. Zbl 0910.55007
Lenart, Cristian
1998
Symmetric functions, formal group laws, and Lazard’s theorem. Zbl 0934.14030
Lenart, Cristian
1998
Combinatorics of generalized exponents. Zbl 1436.05128
Lecouvey, Cédric; Lenart, Cristian
2019
A uniform realization of the combinatorial $$R$$-matrix for column shape Kirillov-Reshetikhin crystals. Zbl 1392.05115
Lenart, Cristian; Lubovsky, Arthur
2018
Explicit description of the degree function in terms of quantum Lakshmibai-Seshadri paths. Zbl 1368.17027
Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke; Schilling, Anne; Shimozono, Mark
2015
On Schubert calculus in elliptic cohomology. Zbl 1335.05223
Lenart, Cristian; Zainoulline, Kirill
2015
Growth diagrams for the Schubert multiplication. Zbl 1235.05153
Lenart, Cristian
2010
On $$q$$-analogs of weight multiplicities for the Lie superalgebras $$\mathfrak{gl}(n,m)$$ and $$\mathfrak{spo}(2n,M)$$. Zbl 1232.17014
Lecouvey, Cédric; Lenart, Cristian
2009
Alcove path and Nichols-Woronowicz model of the equivariant $$K$$-theory of generalized flag varieties. Zbl 1114.14029
Lenart, Cristian; Maeno, Toshiaki
2006
Chromatic polynomials of partition systems. Zbl 0872.05013
Lenart, Cristian; Ray, Nigel
1997
Convex decomposition of fuzzy partitions. Zbl 0646.04002
Lenart, C.; Dumitrescu, D.
1987
Parabolic Kazhdan-Lusztig basis, Schubert classes, and equivariant oriented cohomology. Zbl 07286297
Lenart, Cristian; Zainoulline, Kirill; Zhong, Changlong
2020
On higher level Kirillov-Reshetikhin crystals, Demazure crystals, and related uniform models. Zbl 07114369
Lenart, Cristian; Scrimshaw, Travis
2019
A generalized distance in graphs and centered partitions. Zbl 0912.05035
Lenart, Cristian
1998
Hopf algebras of set systems. Zbl 0895.05068
Lenart, Cristian; Ray, Nigel
1998
Parabolic Kazhdan-Lusztig basis, Schubert classes, and equivariant oriented cohomology. Zbl 07286297
Lenart, Cristian; Zainoulline, Kirill; Zhong, Changlong
2020
Combinatorics of generalized exponents. Zbl 1436.05128
Lecouvey, Cédric; Lenart, Cristian
2019
On higher level Kirillov-Reshetikhin crystals, Demazure crystals, and related uniform models. Zbl 07114369
Lenart, Cristian; Scrimshaw, Travis
2019
A uniform realization of the combinatorial $$R$$-matrix for column shape Kirillov-Reshetikhin crystals. Zbl 1392.05115
Lenart, Cristian; Lubovsky, Arthur
2018
A uniform model for Kirillov-Reshetikhin crystals. III: Nonsymmetric Macdonald polynomials at $$t = 0$$ and Demazure characters. Zbl 1428.05325
Lenart, C.; Naito, S.; Sagaki, D.; Schilling, A.; Shimozono, M.
2017
Towards generalized cohomology Schubert calculus via formal root polynomials. Zbl 1393.14048
Lenart, Cristian; Zainoulline, Kirill
2017
A uniform model for Kirillov-Reshetikhin crystals. II: Alcove model, path model, and $$P=X$$. Zbl 1405.05194
Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke; Schilling, Anne; Shimozono, Mark
2017
A Schubert basis in equivariant elliptic cohomology. Zbl 1369.14059
Lenart, Cristian; Zainoulline, Kirill
2017
From the weak Bruhat order to crystal posets. Zbl 1371.05315
Hersh, Patricia; Lenart, Cristian
2017
Quantum Lakshmibai-Seshadri paths and root operators. Zbl 1418.17036
Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke; Schilling, Anne; Shimozono, Mark
2016
A uniform model for Kirillov-Reshetikhin crystals. I: Lifting the parabolic quantum Bruhat graph. Zbl 1394.05143
Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke; Schilling, Anne; Shimozono, Mark
2015
A generalization of the alcove model and its applications. Zbl 1314.05224
Lenart, Cristian; Lubovsky, Arthur
2015
A uniform realization of the combinatorial $$R$$-matrix. Zbl 1335.05198
Lenart, Cristian; Lubovsky, Arthur
2015
Explicit description of the degree function in terms of quantum Lakshmibai-Seshadri paths. Zbl 1368.17027
Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke; Schilling, Anne; Shimozono, Mark
2015
On Schubert calculus in elliptic cohomology. Zbl 1335.05223
Lenart, Cristian; Zainoulline, Kirill
2015
Equivariant $$K$$-Chevalley rules for Kac-Moody flag manifolds. Zbl 1328.19012
Lenart, Cristian; Shimozono, Mark
2014
A uniform model for Kirillov-Reshetikhin crystals. Zbl 1294.05151
Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke; Schilling, Anne; Shimozono, Mark
2013
Crystal energy functions via the charge in types $$A$$ and $$C$$. Zbl 1258.05125
Lenart, Cristian; Schilling, Anne
2013
From Macdonald polynomials to a charge statistic beyond type $$A$$. Zbl 1234.05233
Lenart, Cristian
2012
Hall-Littlewood polynomials, alcove walks, and fillings of Young diagrams. Zbl 1208.17012
Lenart, Cristian
2011
Haglund-Haiman-Loehr type formulas for Hall-Littlewood polynomials of type B and C. Zbl 1229.05274
Lenart, Cristian
2010
Growth diagrams for the Schubert multiplication. Zbl 1235.05153
Lenart, Cristian
2010
On combinatorial formulas for MacDonald polynomials. Zbl 1247.05261
Lenart, Cristian
2009
On $$q$$-analogs of weight multiplicities for the Lie superalgebras $$\mathfrak{gl}(n,m)$$ and $$\mathfrak{spo}(2n,M)$$. Zbl 1232.17014
Lecouvey, Cédric; Lenart, Cristian
2009
A combinatorial model for crystals of Kac-Moody algebras. Zbl 1211.17021
Lenart, Cristian; Postnikov, Alexander
2008
On the combinatorics of crystal graphs. II: The crystal commutor. Zbl 1129.05059
Lenart, Cristian
2008
Affine Weyl groups in $$K$$-Theory and representation theory. Zbl 1137.14037
Lenart, Cristian; Postnikov, Alexander
2007
On the combinatorics of crystal graphs. I: Lusztig’s involution. Zbl 1129.05058
Lenart, Cristian
2007
A Pieri-type formula for the $${K}$$-theory of a flag manifold. Zbl 1111.14047
Lenart, Cristian; Sottile, Frank
2007
Grothendieck polynomials via permutation patterns and chains in the Bruhat order. Zbl 1149.14039
Lenart, Cristian; Robinson, Shawn; Sottile, Frank
2006
Alcove path and Nichols-Woronowicz model of the equivariant $$K$$-theory of generalized flag varieties. Zbl 1114.14029
Lenart, Cristian; Maeno, Toshiaki
2006
The $$K$$-theory of the flag variety and the Fomin–Kirillov quadratic algebra. Zbl 1074.14046
Lenart, Cristian
2005
A unified approach to combinatorial formulas for Schubert polynomials. Zbl 1056.05146
Lenart, Cristian
2004
A $$K$$-theory version of Monk’s formula and some related multiplication formulas. Zbl 1063.14060
Lenart, Cristian
2003
Skew Schubert polynomials. Zbl 1033.05097
Lenart, Cristian; Sottile, Frank
2003
Combinatorial aspects of the $$K$$-theory of Grassmannians. Zbl 0958.05128
Lenart, Cristian
2000
Lagrange inversion and Schur functions. Zbl 0944.05096
Lenart, Cristian
2000
Noncommutative Schubert calculus and Grothendieck polynomials. Zbl 0978.05074
Lenart, Cristian
1999
Formal group-theoretic generalizations of the necklace algebra, including a $$q$$-deformation. Zbl 0915.05011
Lenart, Cristian
1998
The combinatorics of Steenrod operations on the cohomology of Grassmannians. Zbl 0910.55007
Lenart, Cristian
1998
Symmetric functions, formal group laws, and Lazard’s theorem. Zbl 0934.14030
Lenart, Cristian
1998
A generalized distance in graphs and centered partitions. Zbl 0912.05035
Lenart, Cristian
1998
Hopf algebras of set systems. Zbl 0895.05068
Lenart, Cristian; Ray, Nigel
1998
Chromatic polynomials of partition systems. Zbl 0872.05013
Lenart, Cristian; Ray, Nigel
1997
Convex decomposition of fuzzy partitions. Zbl 0646.04002
Lenart, C.; Dumitrescu, D.
1987
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#### Cited by 198 Authors

 24 Lenart, Cristian 15 Scrimshaw, Travis 9 Sagaki, Daisuke 8 Naito, Satoshi 7 Skovsted Buch, Anders 7 Oh, Young-Tak 7 Schilling, Anne 6 Pechenik, Oliver 6 Yong, Alexander 5 Kato, Syu 5 Morse, Jennifer 4 Naruse, Hiroshi 4 Shimozono, Mark 4 Westbury, Bruce W. 4 Yeliussizov, Damir 4 Zainoulline, Kirill 4 Zhong, Changlong 3 Calmès, Baptiste 3 Feigin, Evgeny 3 Hawkes, Graham 3 Lecouvey, Cédric 3 Lubovsky, Arthur 3 Makedonskyi, Ievgen 3 Matsumura, Tomoo 3 Miller, Ezra 3 Monical, Cara 3 Nomoto, Fumihiko 3 Pan, Jianping 3 Rubey, Martin 3 Willis, Matthew J. 2 Assaf, Sami H. 2 Bergeron, Nantel 2 Brubaker, Ben 2 Bultel, Jean-Paul 2 Bump, Daniel 2 Chari, Vyjayanthi 2 Corteel, Sylvie 2 Duan, Haibao 2 Dumitrescu, Dragos 2 Gunawan, Emily 2 Hersh, Patricia 2 Hudson, Thomas 2 Ishii, Motohiro 2 Knutson, Allen 2 Kwon, Jae-Hoon 2 Liu, Ricky Ini 2 Marberg, Eric 2 Mészáros, Karola 2 Novelli, Jean-Christophe 2 Okada, Soichi 2 Orr, Daniel 2 Pawlowski, Brendan Alexander 2 Pfannerer, Stephan 2 Poh, Wencin 2 Pop, Horia F. 2 Postnikov, Alexander 2 Rimányi, Richárd 2 Searles, Dominic 2 Sottile, Frank 2 Su, Changjian 2 Thibon, Jean-Yves 2 Yip, Martha 1 Abłamowicz, Rafał 1 Adeyemo, Praise 1 Allman, Justin M. 1 Anderson, Dave Edward 1 Aval, Jean-Christophe 1 Avrachenkov, Konstantin Evgen’evich 1 Azenhas, Olga 1 Bazlov, Yuri 1 Beazley, Elizabeth T. 1 Berenstein, Arkady 1 Billey, Sara C. 1 Biswal, Rekha 1 Blasiak, Jonah 1 Borodin, Alexei 1 Braverman, Alexander 1 Buciumas, Valentin 1 Can, Mahir Bilen 1 Chebotarev, Pavel Yu. 1 Chen, William Yong-Chuan 1 Cherednik, Ivan V. 1 Coşkun, Olcay 1 Crew, Logan 1 Descouens, Francois 1 Dołȩga, Maciej 1 Emami, Aram 1 Emsiz, Erdal 1 Escobar, Laura 1 Fan, Neil J. Y. 1 Fauser, Bertfried 1 Feigin, E. B. 1 Finkelberg, Michael Vladlenovich 1 Fischer, Ilse 1 Friedberg, Solomon 1 Frieden, Gabriel 1 Galashin, Pavel 1 Gerber, Thomas 1 Gorbounov, Vassily 1 Guilhot, Jérémie ...and 98 more Authors
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#### Cited in 45 Serials

 21 Advances in Mathematics 18 Journal of Combinatorial Theory. Series A 16 Séminaire Lotharingien de Combinatoire 13 Journal of Algebra 11 Journal of Algebraic Combinatorics 8 Mathematische Zeitschrift 8 European Journal of Combinatorics 7 Discrete Mathematics 7 Algebraic Combinatorics 6 Algebras and Representation Theory 5 Journal für die Reine und Angewandte Mathematik 5 Selecta Mathematica. New Series 4 Duke Mathematical Journal 4 Transactions of the American Mathematical Society 4 Advances in Applied Mathematics 4 Transformation Groups 3 Journal of Pure and Applied Algebra 3 Mathematische Annalen 3 The Electronic Journal of Combinatorics 2 Canadian Journal of Mathematics 2 Fuzzy Sets and Systems 2 International Journal of Algebra and Computation 2 Annals of Combinatorics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of the Institute of Mathematics of Jussieu 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Theoretical and Mathematical Physics 1 Acta Mathematica 1 Compositio Mathematica 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Manuscripta Mathematica 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Journal of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Computational Complexity 1 Annals of Mathematics. Second Series 1 Forum of Mathematics, Pi
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#### Cited in 23 Fields

 141 Combinatorics (05-XX) 81 Algebraic geometry (14-XX) 51 Nonassociative rings and algebras (17-XX) 36 Group theory and generalizations (20-XX) 24 $$K$$-theory (19-XX) 16 Associative rings and algebras (16-XX) 16 Special functions (33-XX) 10 Commutative algebra (13-XX) 10 Quantum theory (81-XX) 9 Topological groups, Lie groups (22-XX) 7 Algebraic topology (55-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Manifolds and cell complexes (57-XX) 5 Number theory (11-XX) 5 Computer science (68-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Probability theory and stochastic processes (60-XX) 2 Category theory; homological algebra (18-XX) 2 Convex and discrete geometry (52-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX)