×

zbMATH — the first resource for mathematics

Lenart, Cristian

Compute Distance To:
Author ID: lenart.cristian Recent zbMATH articles by "Lenart, Cristian"
Published as: Lenart, C.; Lenart, Cristian
Documents Indexed: 61 Publications since 1987

Publications by Year

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
36
2000
Affine Weyl groups in \(K\)-Theory and representation theory. Zbl 1137.14037
Lenart, Cristian; Postnikov, Alexander
31
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
23
2015
On the combinatorics of crystal graphs. I: Lusztig’s involution. Zbl 1129.05058
Lenart, Cristian
21
2007
A combinatorial model for crystals of Kac-Moody algebras. Zbl 1211.17021
Lenart, Cristian; Postnikov, Alexander
18
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.
16
2017
A unified approach to combinatorial formulas for Schubert polynomials. Zbl 1056.05146
Lenart, Cristian
13
2004
Quantum Lakshmibai-Seshadri paths and root operators. Zbl 1418.17036
Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke; Schilling, Anne; Shimozono, Mark
12
2016
Towards generalized cohomology Schubert calculus via formal root polynomials. Zbl 1393.14048
Lenart, Cristian; Zainoulline, Kirill
10
2017
A generalization of the alcove model and its applications. Zbl 1314.05224
Lenart, Cristian; Lubovsky, Arthur
10
2015
From Macdonald polynomials to a charge statistic beyond type \(A\). Zbl 1234.05233
Lenart, Cristian
10
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
9
2017
Formal group-theoretic generalizations of the necklace algebra, including a \(q\)-deformation. Zbl 0915.05011
Lenart, Cristian
9
1998
A uniform model for Kirillov-Reshetikhin crystals. Zbl 1294.05151
Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke; Schilling, Anne; Shimozono, Mark
8
2013
Grothendieck polynomials via permutation patterns and chains in the Bruhat order. Zbl 1149.14039
Lenart, Cristian; Robinson, Shawn; Sottile, Frank
8
2006
A Schubert basis in equivariant elliptic cohomology. Zbl 1369.14059
Lenart, Cristian; Zainoulline, Kirill
7
2017
Crystal energy functions via the charge in types \(A\) and \(C\). Zbl 1258.05125
Lenart, Cristian; Schilling, Anne
7
2013
Hall-Littlewood polynomials, alcove walks, and fillings of Young diagrams. Zbl 1208.17012
Lenart, Cristian
7
2011
Lagrange inversion and Schur functions. Zbl 0944.05096
Lenart, Cristian
7
2000
Haglund-Haiman-Loehr type formulas for Hall-Littlewood polynomials of type B and C. Zbl 1229.05274
Lenart, Cristian
6
2010
On combinatorial formulas for MacDonald polynomials. Zbl 1247.05261
Lenart, Cristian
6
2009
A \(K\)-theory version of Monk’s formula and some related multiplication formulas. Zbl 1063.14060
Lenart, Cristian
6
2003
Noncommutative Schubert calculus and Grothendieck polynomials. Zbl 0978.05074
Lenart, Cristian
6
1999
Skew Schubert polynomials. Zbl 1033.05097
Lenart, Cristian; Sottile, Frank
5
2003
A uniform realization of the combinatorial \(R\)-matrix. Zbl 1335.05198
Lenart, Cristian; Lubovsky, Arthur
4
2015
Equivariant \(K\)-Chevalley rules for Kac-Moody flag manifolds. Zbl 1328.19012
Lenart, Cristian; Shimozono, Mark
4
2014
A Pieri-type formula for the \({K}\)-theory of a flag manifold. Zbl 1111.14047
Lenart, Cristian; Sottile, Frank
4
2007
The \(K\)-theory of the flag variety and the Fomin–Kirillov quadratic algebra. Zbl 1074.14046
Lenart, Cristian
4
2005
From the weak Bruhat order to crystal posets. Zbl 1371.05315
Hersh, Patricia; Lenart, Cristian
3
2017
On the combinatorics of crystal graphs. II: The crystal commutor. Zbl 1129.05059
Lenart, Cristian
3
2008
The combinatorics of Steenrod operations on the cohomology of Grassmannians. Zbl 0910.55007
Lenart, Cristian
3
1998
Symmetric functions, formal group laws, and Lazard’s theorem. Zbl 0934.14030
Lenart, Cristian
3
1998
Combinatorics of generalized exponents. Zbl 1436.05128
Lecouvey, Cédric; Lenart, Cristian
2
2019
A uniform realization of the combinatorial \(R\)-matrix for column shape Kirillov-Reshetikhin crystals. Zbl 1392.05115
Lenart, Cristian; Lubovsky, Arthur
2
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
2
2015
On Schubert calculus in elliptic cohomology. Zbl 1335.05223
Lenart, Cristian; Zainoulline, Kirill
2
2015
Growth diagrams for the Schubert multiplication. Zbl 1235.05153
Lenart, Cristian
2
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
2
2009
Alcove path and Nichols-Woronowicz model of the equivariant \(K\)-theory of generalized flag varieties. Zbl 1114.14029
Lenart, Cristian; Maeno, Toshiaki
2
2006
Chromatic polynomials of partition systems. Zbl 0872.05013
Lenart, Cristian; Ray, Nigel
2
1997
Convex decomposition of fuzzy partitions. Zbl 0646.04002
Lenart, C.; Dumitrescu, D.
2
1987
Parabolic Kazhdan-Lusztig basis, Schubert classes, and equivariant oriented cohomology. Zbl 07286297
Lenart, Cristian; Zainoulline, Kirill; Zhong, Changlong
1
2020
On higher level Kirillov-Reshetikhin crystals, Demazure crystals, and related uniform models. Zbl 07114369
Lenart, Cristian; Scrimshaw, Travis
1
2019
A generalized distance in graphs and centered partitions. Zbl 0912.05035
Lenart, Cristian
1
1998
Hopf algebras of set systems. Zbl 0895.05068
Lenart, Cristian; Ray, Nigel
1
1998
Parabolic Kazhdan-Lusztig basis, Schubert classes, and equivariant oriented cohomology. Zbl 07286297
Lenart, Cristian; Zainoulline, Kirill; Zhong, Changlong
1
2020
Combinatorics of generalized exponents. Zbl 1436.05128
Lecouvey, Cédric; Lenart, Cristian
2
2019
On higher level Kirillov-Reshetikhin crystals, Demazure crystals, and related uniform models. Zbl 07114369
Lenart, Cristian; Scrimshaw, Travis
1
2019
A uniform realization of the combinatorial \(R\)-matrix for column shape Kirillov-Reshetikhin crystals. Zbl 1392.05115
Lenart, Cristian; Lubovsky, Arthur
2
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.
16
2017
Towards generalized cohomology Schubert calculus via formal root polynomials. Zbl 1393.14048
Lenart, Cristian; Zainoulline, Kirill
10
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
9
2017
A Schubert basis in equivariant elliptic cohomology. Zbl 1369.14059
Lenart, Cristian; Zainoulline, Kirill
7
2017
From the weak Bruhat order to crystal posets. Zbl 1371.05315
Hersh, Patricia; Lenart, Cristian
3
2017
Quantum Lakshmibai-Seshadri paths and root operators. Zbl 1418.17036
Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke; Schilling, Anne; Shimozono, Mark
12
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
23
2015
A generalization of the alcove model and its applications. Zbl 1314.05224
Lenart, Cristian; Lubovsky, Arthur
10
2015
A uniform realization of the combinatorial \(R\)-matrix. Zbl 1335.05198
Lenart, Cristian; Lubovsky, Arthur
4
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
2
2015
On Schubert calculus in elliptic cohomology. Zbl 1335.05223
Lenart, Cristian; Zainoulline, Kirill
2
2015
Equivariant \(K\)-Chevalley rules for Kac-Moody flag manifolds. Zbl 1328.19012
Lenart, Cristian; Shimozono, Mark
4
2014
A uniform model for Kirillov-Reshetikhin crystals. Zbl 1294.05151
Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke; Schilling, Anne; Shimozono, Mark
8
2013
Crystal energy functions via the charge in types \(A\) and \(C\). Zbl 1258.05125
Lenart, Cristian; Schilling, Anne
7
2013
From Macdonald polynomials to a charge statistic beyond type \(A\). Zbl 1234.05233
Lenart, Cristian
10
2012
Hall-Littlewood polynomials, alcove walks, and fillings of Young diagrams. Zbl 1208.17012
Lenart, Cristian
7
2011
Haglund-Haiman-Loehr type formulas for Hall-Littlewood polynomials of type B and C. Zbl 1229.05274
Lenart, Cristian
6
2010
Growth diagrams for the Schubert multiplication. Zbl 1235.05153
Lenart, Cristian
2
2010
On combinatorial formulas for MacDonald polynomials. Zbl 1247.05261
Lenart, Cristian
6
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
2
2009
A combinatorial model for crystals of Kac-Moody algebras. Zbl 1211.17021
Lenart, Cristian; Postnikov, Alexander
18
2008
On the combinatorics of crystal graphs. II: The crystal commutor. Zbl 1129.05059
Lenart, Cristian
3
2008
Affine Weyl groups in \(K\)-Theory and representation theory. Zbl 1137.14037
Lenart, Cristian; Postnikov, Alexander
31
2007
On the combinatorics of crystal graphs. I: Lusztig’s involution. Zbl 1129.05058
Lenart, Cristian
21
2007
A Pieri-type formula for the \({K}\)-theory of a flag manifold. Zbl 1111.14047
Lenart, Cristian; Sottile, Frank
4
2007
Grothendieck polynomials via permutation patterns and chains in the Bruhat order. Zbl 1149.14039
Lenart, Cristian; Robinson, Shawn; Sottile, Frank
8
2006
Alcove path and Nichols-Woronowicz model of the equivariant \(K\)-theory of generalized flag varieties. Zbl 1114.14029
Lenart, Cristian; Maeno, Toshiaki
2
2006
The \(K\)-theory of the flag variety and the Fomin–Kirillov quadratic algebra. Zbl 1074.14046
Lenart, Cristian
4
2005
A unified approach to combinatorial formulas for Schubert polynomials. Zbl 1056.05146
Lenart, Cristian
13
2004
A \(K\)-theory version of Monk’s formula and some related multiplication formulas. Zbl 1063.14060
Lenart, Cristian
6
2003
Skew Schubert polynomials. Zbl 1033.05097
Lenart, Cristian; Sottile, Frank
5
2003
Combinatorial aspects of the \(K\)-theory of Grassmannians. Zbl 0958.05128
Lenart, Cristian
36
2000
Lagrange inversion and Schur functions. Zbl 0944.05096
Lenart, Cristian
7
2000
Noncommutative Schubert calculus and Grothendieck polynomials. Zbl 0978.05074
Lenart, Cristian
6
1999
Formal group-theoretic generalizations of the necklace algebra, including a \(q\)-deformation. Zbl 0915.05011
Lenart, Cristian
9
1998
The combinatorics of Steenrod operations on the cohomology of Grassmannians. Zbl 0910.55007
Lenart, Cristian
3
1998
Symmetric functions, formal group laws, and Lazard’s theorem. Zbl 0934.14030
Lenart, Cristian
3
1998
A generalized distance in graphs and centered partitions. Zbl 0912.05035
Lenart, Cristian
1
1998
Hopf algebras of set systems. Zbl 0895.05068
Lenart, Cristian; Ray, Nigel
1
1998
Chromatic polynomials of partition systems. Zbl 0872.05013
Lenart, Cristian; Ray, Nigel
2
1997
Convex decomposition of fuzzy partitions. Zbl 0646.04002
Lenart, C.; Dumitrescu, D.
2
1987
all top 5

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
all top 5

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

Citations by Year