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Author ID: bergeron.nantel Recent zbMATH articles by "Bergeron, Nantel"
Published as: Bergeron, Nantel; Bergeron, N.
Homepage: http://www.math.yorku.ca/bergeron/
External Links: MGP
Documents Indexed: 87 Publications since 1990
2 Contributions as Editor
Reviewing Activity: 17 Reviews
Co-Authors: 69 Co-Authors with 84 Joint Publications
1,362 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

73 Publications have been cited 943 times in 579 Documents Cited by Year
Combinatorial Hopf algebras and generalized Dehn-Sommerville relations. Zbl 1092.05070
Aguiar, Marcelo; Bergeron, Nantel; Sottile, Frank
96
2006
rc-graphs and Schubert polynomials. Zbl 0803.05054
Bergeron, Nantel; Billey, Sara
72
1993
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras. Zbl 1237.05208
Aguiar, Marcelo; André, Carlos; Benedetti, Carolina; Bergeron, Nantel; Chen, Zhi; Diaconis, Persi; Hendrickson, Anders; Hsiao, Samuel; Isaacs, I. Martin; Jedwab, Andrea; Johnson, Kenneth; Karaali, Gizem; Lauve, Aaron; Le, Tung; Lewis, Stephen; Li, Huilan; Magaard, Kay; Marberg, Eric; Novelli, Jean-Christophe; Pang, Amy; Saliola, Franco; Tevlin, Lenny; Thibon, Jean-Yves; Thiem, Nathaniel; Venkateswaran, Vidya; Vinroot, C. Ryan; Yan, Ning; Zabrocki, Mike
39
2012
A decomposition of the descent algebra of a finite Coxeter group. Zbl 0798.20031
Bergeron, F.; Bergeron, N.; Howlett, R. B.; Taylor, D. E.
39
1992
Schubert polynomials, the Bruhat order, and the geometry of flag manifolds. Zbl 0939.05084
Bergeron, Nantel; Sottile, Frank
37
1998
Drinfel’d doubles and Lusztig’s symmetries of two-parameter quantum groups. Zbl 1148.17007
Bergeron, Nantel; Gao, Yun; Hu, Naihong
34
2006
The peak algebra and the descent algebras of types B and D. Zbl 1043.05115
Aguiar, Marcelo; Bergeron, Nantel; Nyman, Kathryn
30
2004
A lift of the Schur and Hall-Littlewood bases to non-commutative symmetric functions. Zbl 1291.05206
Berg, Chris; Bergeron, Nantel; Saliola, Franco; Serrano, Luis; Zabrocki, Mike
29
2014
Noncommutative Pieri operators on posets. Zbl 0969.05064
Bergeron, Nantel; Mykytiuk, Stefan; Sottile, Frank; van Willigenburg, Stephanie
27
2000
The Hopf algebras of symmetric functions and quasi-symmetric functions in non-commutative variables are free and co-free. Zbl 1188.16030
Bergeron, Nantel; Zabrocki, Mike
27
2009
Invariants and coinvariants of the symmetric group in noncommuting variables. Zbl 1180.16025
Bergeron, Nantel; Reutenauer, Christophe; Rosas, Mercedes; Zabrocki, Mike
27
2008
Orthogonal idempotents in the descent algebra of \(B_ n\) and applications. Zbl 0793.20004
Bergeron, François; Bergeron, Nantel
25
1992
Idempotents for the free Lie algebra and q-enumeration. Zbl 0721.17006
Bergeron, F.; Bergeron, N.; Garsia, A. M.
21
1990
A decomposition of the descent algebra of the hyperoctahedral group. I, II. Zbl 0798.20008
Bergeron, F.; Bergeron, N.
20
1992
Indecomposable modules for the dual immaculate basis of quasi-symmetric functions. Zbl 1306.05243
Berg, Chris; Bergeron, Nantel; Saliola, Franco; Serrano, Luis; Zabrocki, Mike
20
2015
The peak algebra and the Hecke-Clifford algebras at \(q=0\). Zbl 1107.05092
Bergeron, Nantel; Hivert, Florent; Thibon, Jean-Yves
18
2004
A Pieri-type formula for isotropic flag manifolds. Zbl 0992.14014
Bergeron, Nantel; Sottile, Frank
17
2002
Algebraic structures on Grothendieck groups of a tower of algebras. Zbl 1185.16008
Bergeron, Nantel; Li, Huilan
16
2009
Lattice diagram polynomials and extended Pieri rules. Zbl 0934.05122
Bergeron, François; Bergeron, Nantel; Garsia, Adriano M.; Haiman, Mark; Tesler, Glenn
16
1999
Hopf monoids from class functions on unitriangular matrices. Zbl 1276.05127
Aguiar, Marcelo; Bergeron, Nantel; Thiem, Nathaniel
16
2013
Skew Schubert functions and the Pieri formula for flag manifolds. Zbl 0982.05111
Bergeron, Nantel; Sottile, Frank
15
2002
Representations of two-parameter quantum orthogonal and symplectic groups. Zbl 1148.17008
Bergeron, Nantel; Gao, Yun; Hu, Naihong
15
2007
Combinatorial Hopf algebras and towers of algebras – dimension, quantization and functorality. Zbl 1281.16036
Bergeron, Nantel; Lam, Thomas; Li, Huilan
14
2012
Ideals of quasi-symmetric functions and super-covariant polynomials for \(\mathcal S_n\). Zbl 1031.05127
Aval, J.-C.; Bergeron, F.; Bergeron, N.
13
2004
Shifted quasi-symmetric functions and the Hopf algebra of peak functions. Zbl 0996.05117
Bergeron, Nantel; Mykytiuk, Stefan; Sottile, Frank; van Willigenburg, Stephanie
13
2002
A supercharacter table decomposition via power-sum symmetric functions. Zbl 1283.20004
Bergeron, Nantel; Thiem, Nathaniel
13
2013
The Orlik-Solomon algebra on the partition lattice and the free Lie algebra. Zbl 0709.17004
Barcelo, Hélène; Bergeron, Nantel
13
1990
Fan realizations of type \(A\) subword complexes and multi-associahedra of rank 3. Zbl 1327.52014
Bergeron, Nantel; Ceballos, Cesar; Labbé, Jean-Philippe
12
2015
A hyperoctahedral analogue of the free Lie algebra. Zbl 0759.17003
Bergeron, Nantel
11
1991
On certain spaces of harmonic polynomials. Zbl 0798.05073
Bergeron, N.; Garsia, A. M.
11
1992
Primitive orthogonal idempotents for \(R\)-trivial monoids. Zbl 1252.20053
Berg, Chris; Bergeron, Nantel; Bhargava, Sandeep; Saliola, Franco
10
2011
A combinatorial construction of the Schubert polynomials. Zbl 0771.05097
Bergeron, Nantel
9
1992
Hopf algebras and edge-labeled posets. Zbl 0933.05149
Bergeron, Nantel; Sottile, Frank
9
1999
\(q\) and \(q, t\)-analogs of non-commutative symmetric functions. Zbl 1070.05080
Bergeron, Nantel; Zabrocki, Michael
9
2005
The decomposition of Hochschild cohomology and Gerstenhaber operations. Zbl 0851.16004
Bergeron, Nantel; Wolfgang, H. Lewis
9
1995
Coloured peak algebras and Hopf algebras. Zbl 1103.16023
Bergeron, Nantel; Hohlweg, Christophe
9
2006
Sergeev’s formula and the Littlewood-Richardson rule. Zbl 0732.05060
Bergeron, N.; Garsia, A. M.
9
1990
A monoid for the Grassmannian Bruhat order. Zbl 0926.05034
Bergeron, Nantel; Sottile, Frank
8
1999
Grothendieck bialgebras, partition lattices, and symmetric functions in noncommutative variables. Zbl 1098.05079
Bergeron, N.; Hohlweg, C.; Rosas, M.; Zabrocki, M.
8
2006
The antipode and primitive elements in the Hopf monoid of supercharacters. Zbl 1304.05147
Baker-Jarvis, Duff; Bergeron, Nantel; Thiem, Nathaniel
7
2014
Expansion of \(k\)-Schur functions for maximal rectangles within the affine nilCoxeter algebra. Zbl 1291.05218
Berg, Chris; Bergeron, Nantel; Thomas, Hugh; Zabrocki, Mike
7
2012
The symmetric operation in a free pre-Lie algebra is magmatic. Zbl 1264.17001
Bergeron, Nantel; Loday, Jean-Louis
7
2011
A Hopf algebra of subword complexes. Zbl 1359.16029
Bergeron, Nantel; Ceballos, Cesar
7
2017
Isometry classes of generalized associahedra. Zbl 1227.05273
Bergeron, Nantel; Hohlweg, Christophe; Lange, Carsten; Thomas, Hugh
7
2009
Zonal polynomials and domino tableaux. Zbl 0759.05098
Bergeron, Nantel; Garsia, Adriano M.
6
1992
Catalan paths and quasi-symmetric functions. Zbl 1006.05064
Aval, J.-C.; Bergeron, N.
5
2003
Vanishing ideals of lattice diagram determinants. Zbl 1009.05137
Aval, J.-C.; Bergeron, N.
4
2002
A multiplication rule for the descent algebra of type \(D\). Zbl 0973.20004
Bergeron, Nantel; van Willigenburg, Stephanie
4
1998
Symbolic manipulation for the study of the descent algebra of finite Coxeter groups. Zbl 0790.20058
Bergeron, François; Bergeron, Nantel
4
1992
Flagged \(( \mathcal{P}, \rho)\)-partitions. Zbl 1442.14154
Assaf, Sami; Bergeron, Nantel
4
2020
Immaculate basis of the non-commutative symmetric functions (extended abstract). Zbl 1294.05154
Berg, Chris; Bergeron, Nantel; Saliola, Franco; Serrano, Luis; Zabrocki, Mike
4
2013
The Pieri rule for dual immaculate quasi-symmetric functions. Zbl 1344.05146
Bergeron, Nantel; Sánchez-Ortega, Juana; Zabrocki, Mike
4
2016
Hypergraphic polytopes: combinatorial properties and antipode. Zbl 1411.05193
Benedetti, Carolina; Bergeron, Nantel; Machacek, John
3
2019
The antipode of linearized Hopf monoids. Zbl 1384.05177
Benedetti, Carolina; Bergeron, Nantel
3
2017
A combinatorial basis for the free Lie algebra of the labelled rooted trees. Zbl 1229.18010
Bergeron, Nantel; Livernet, Muriel
3
2010
Diagonal Temperley-Lieb invariants and harmonics. Zbl 1192.16032
Aval, J.-C.; Bergeron, F.; Bergeron, N.
3
2005
Posets related to the connectivity set of Coxeter groups. Zbl 1113.06001
Bergeron, N.; Hohlweg, C.; Zabrocki, M.
3
2006
Spaces of lattice diagram polynomials in one set of variables. Zbl 1009.05135
Aval, Jean-Christophe; Bergeron, François; Bergeron, Nantel
2
2002
Hopf dreams. Zbl 1436.05119
Bergeron, Nantel; Cesar, Ceballos; Vincent, Pilaud
2
2019
Schubert polynomials and \(k\)-Schur functions. Zbl 1302.05203
Benedetti, Carolina; Bergeron, Nantel
2
2014
Hyperoctahedral operations on Hochschild homology. Zbl 0833.16006
Bergeron, Nantel
2
1995
A filtration of \((q,t)\)-Catalan numbers. Zbl 1192.05173
Bergeron, N.; Descouens, F.; Zabrocki, M.
2
2010
Multiplicative structures of the immaculate basis of non-commutative symmetric functions. Zbl 1369.05202
Berg, Chris; Bergeron, Nantel; Saliola, Franco; Serrano, Luis; Zabrocki, Mike
2
2017
The antipode of linearized Hopf monoids. Zbl 1422.16037
Benedetti, Carolina; Bergeron, Nantel
1
2019
Combinatorial Hopf algebras and towers of algebras. Zbl 1394.16044
Bergeron, Nantel; Lam, Thomas; Li, Huilan
1
2008
A generalization of \((q,t)\)-Catalan and nabla operators. Zbl 1393.05265
Bergeron, N.; Descouens, F.; Zabrocki, M.
1
2008
Hypergraphic polytopes: combinatorial properties and antipode. Zbl 1411.05192
Benedetti, Carolina; Bergeron, Nantel; Machacek, John
1
2018
Fomin-Greene monoids and Pieri operations. Zbl 1434.16017
Benedetti, Carolina; Bergeron, Nantel
1
2014
The non-symmetric operad pre-Lie is free. Zbl 1219.18005
Bergeron, Nantel; Livernet, Muriel
1
2010
Bases for diagonally alternating harmonic polynomials of low degree. Zbl 1241.05147
Bergeron, Nantel; Chen, Zhi
1
2011
The structure of the universal exponential solution of the Yang-Baxter equation. Zbl 0833.17004
Bergeron, Nantel
1
1994
Elliptic and \(q\)-analogs of the fibonomial numbers. Zbl 1447.05037
Bergeron, Nantel; Ceballos, Cesar; Küstner, Josef
1
2020
New invariants for permutations, orders and graphs. Zbl 1462.16036
Aval, Jean-Christophe; Bergeron, Nantel; Machacek, John
1
2020
Flagged \(( \mathcal{P}, \rho)\)-partitions. Zbl 1442.14154
Assaf, Sami; Bergeron, Nantel
4
2020
Elliptic and \(q\)-analogs of the fibonomial numbers. Zbl 1447.05037
Bergeron, Nantel; Ceballos, Cesar; Küstner, Josef
1
2020
New invariants for permutations, orders and graphs. Zbl 1462.16036
Aval, Jean-Christophe; Bergeron, Nantel; Machacek, John
1
2020
Hypergraphic polytopes: combinatorial properties and antipode. Zbl 1411.05193
Benedetti, Carolina; Bergeron, Nantel; Machacek, John
3
2019
Hopf dreams. Zbl 1436.05119
Bergeron, Nantel; Cesar, Ceballos; Vincent, Pilaud
2
2019
The antipode of linearized Hopf monoids. Zbl 1422.16037
Benedetti, Carolina; Bergeron, Nantel
1
2019
Hypergraphic polytopes: combinatorial properties and antipode. Zbl 1411.05192
Benedetti, Carolina; Bergeron, Nantel; Machacek, John
1
2018
A Hopf algebra of subword complexes. Zbl 1359.16029
Bergeron, Nantel; Ceballos, Cesar
7
2017
The antipode of linearized Hopf monoids. Zbl 1384.05177
Benedetti, Carolina; Bergeron, Nantel
3
2017
Multiplicative structures of the immaculate basis of non-commutative symmetric functions. Zbl 1369.05202
Berg, Chris; Bergeron, Nantel; Saliola, Franco; Serrano, Luis; Zabrocki, Mike
2
2017
The Pieri rule for dual immaculate quasi-symmetric functions. Zbl 1344.05146
Bergeron, Nantel; Sánchez-Ortega, Juana; Zabrocki, Mike
4
2016
Indecomposable modules for the dual immaculate basis of quasi-symmetric functions. Zbl 1306.05243
Berg, Chris; Bergeron, Nantel; Saliola, Franco; Serrano, Luis; Zabrocki, Mike
20
2015
Fan realizations of type \(A\) subword complexes and multi-associahedra of rank 3. Zbl 1327.52014
Bergeron, Nantel; Ceballos, Cesar; Labbé, Jean-Philippe
12
2015
A lift of the Schur and Hall-Littlewood bases to non-commutative symmetric functions. Zbl 1291.05206
Berg, Chris; Bergeron, Nantel; Saliola, Franco; Serrano, Luis; Zabrocki, Mike
29
2014
The antipode and primitive elements in the Hopf monoid of supercharacters. Zbl 1304.05147
Baker-Jarvis, Duff; Bergeron, Nantel; Thiem, Nathaniel
7
2014
Schubert polynomials and \(k\)-Schur functions. Zbl 1302.05203
Benedetti, Carolina; Bergeron, Nantel
2
2014
Fomin-Greene monoids and Pieri operations. Zbl 1434.16017
Benedetti, Carolina; Bergeron, Nantel
1
2014
Hopf monoids from class functions on unitriangular matrices. Zbl 1276.05127
Aguiar, Marcelo; Bergeron, Nantel; Thiem, Nathaniel
16
2013
A supercharacter table decomposition via power-sum symmetric functions. Zbl 1283.20004
Bergeron, Nantel; Thiem, Nathaniel
13
2013
Immaculate basis of the non-commutative symmetric functions (extended abstract). Zbl 1294.05154
Berg, Chris; Bergeron, Nantel; Saliola, Franco; Serrano, Luis; Zabrocki, Mike
4
2013
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras. Zbl 1237.05208
Aguiar, Marcelo; André, Carlos; Benedetti, Carolina; Bergeron, Nantel; Chen, Zhi; Diaconis, Persi; Hendrickson, Anders; Hsiao, Samuel; Isaacs, I. Martin; Jedwab, Andrea; Johnson, Kenneth; Karaali, Gizem; Lauve, Aaron; Le, Tung; Lewis, Stephen; Li, Huilan; Magaard, Kay; Marberg, Eric; Novelli, Jean-Christophe; Pang, Amy; Saliola, Franco; Tevlin, Lenny; Thibon, Jean-Yves; Thiem, Nathaniel; Venkateswaran, Vidya; Vinroot, C. Ryan; Yan, Ning; Zabrocki, Mike
39
2012
Combinatorial Hopf algebras and towers of algebras – dimension, quantization and functorality. Zbl 1281.16036
Bergeron, Nantel; Lam, Thomas; Li, Huilan
14
2012
Expansion of \(k\)-Schur functions for maximal rectangles within the affine nilCoxeter algebra. Zbl 1291.05218
Berg, Chris; Bergeron, Nantel; Thomas, Hugh; Zabrocki, Mike
7
2012
Primitive orthogonal idempotents for \(R\)-trivial monoids. Zbl 1252.20053
Berg, Chris; Bergeron, Nantel; Bhargava, Sandeep; Saliola, Franco
10
2011
The symmetric operation in a free pre-Lie algebra is magmatic. Zbl 1264.17001
Bergeron, Nantel; Loday, Jean-Louis
7
2011
Bases for diagonally alternating harmonic polynomials of low degree. Zbl 1241.05147
Bergeron, Nantel; Chen, Zhi
1
2011
A combinatorial basis for the free Lie algebra of the labelled rooted trees. Zbl 1229.18010
Bergeron, Nantel; Livernet, Muriel
3
2010
A filtration of \((q,t)\)-Catalan numbers. Zbl 1192.05173
Bergeron, N.; Descouens, F.; Zabrocki, M.
2
2010
The non-symmetric operad pre-Lie is free. Zbl 1219.18005
Bergeron, Nantel; Livernet, Muriel
1
2010
The Hopf algebras of symmetric functions and quasi-symmetric functions in non-commutative variables are free and co-free. Zbl 1188.16030
Bergeron, Nantel; Zabrocki, Mike
27
2009
Algebraic structures on Grothendieck groups of a tower of algebras. Zbl 1185.16008
Bergeron, Nantel; Li, Huilan
16
2009
Isometry classes of generalized associahedra. Zbl 1227.05273
Bergeron, Nantel; Hohlweg, Christophe; Lange, Carsten; Thomas, Hugh
7
2009
Invariants and coinvariants of the symmetric group in noncommuting variables. Zbl 1180.16025
Bergeron, Nantel; Reutenauer, Christophe; Rosas, Mercedes; Zabrocki, Mike
27
2008
Combinatorial Hopf algebras and towers of algebras. Zbl 1394.16044
Bergeron, Nantel; Lam, Thomas; Li, Huilan
1
2008
A generalization of \((q,t)\)-Catalan and nabla operators. Zbl 1393.05265
Bergeron, N.; Descouens, F.; Zabrocki, M.
1
2008
Representations of two-parameter quantum orthogonal and symplectic groups. Zbl 1148.17008
Bergeron, Nantel; Gao, Yun; Hu, Naihong
15
2007
Combinatorial Hopf algebras and generalized Dehn-Sommerville relations. Zbl 1092.05070
Aguiar, Marcelo; Bergeron, Nantel; Sottile, Frank
96
2006
Drinfel’d doubles and Lusztig’s symmetries of two-parameter quantum groups. Zbl 1148.17007
Bergeron, Nantel; Gao, Yun; Hu, Naihong
34
2006
Coloured peak algebras and Hopf algebras. Zbl 1103.16023
Bergeron, Nantel; Hohlweg, Christophe
9
2006
Grothendieck bialgebras, partition lattices, and symmetric functions in noncommutative variables. Zbl 1098.05079
Bergeron, N.; Hohlweg, C.; Rosas, M.; Zabrocki, M.
8
2006
Posets related to the connectivity set of Coxeter groups. Zbl 1113.06001
Bergeron, N.; Hohlweg, C.; Zabrocki, M.
3
2006
\(q\) and \(q, t\)-analogs of non-commutative symmetric functions. Zbl 1070.05080
Bergeron, Nantel; Zabrocki, Michael
9
2005
Diagonal Temperley-Lieb invariants and harmonics. Zbl 1192.16032
Aval, J.-C.; Bergeron, F.; Bergeron, N.
3
2005
The peak algebra and the descent algebras of types B and D. Zbl 1043.05115
Aguiar, Marcelo; Bergeron, Nantel; Nyman, Kathryn
30
2004
The peak algebra and the Hecke-Clifford algebras at \(q=0\). Zbl 1107.05092
Bergeron, Nantel; Hivert, Florent; Thibon, Jean-Yves
18
2004
Ideals of quasi-symmetric functions and super-covariant polynomials for \(\mathcal S_n\). Zbl 1031.05127
Aval, J.-C.; Bergeron, F.; Bergeron, N.
13
2004
Catalan paths and quasi-symmetric functions. Zbl 1006.05064
Aval, J.-C.; Bergeron, N.
5
2003
A Pieri-type formula for isotropic flag manifolds. Zbl 0992.14014
Bergeron, Nantel; Sottile, Frank
17
2002
Skew Schubert functions and the Pieri formula for flag manifolds. Zbl 0982.05111
Bergeron, Nantel; Sottile, Frank
15
2002
Shifted quasi-symmetric functions and the Hopf algebra of peak functions. Zbl 0996.05117
Bergeron, Nantel; Mykytiuk, Stefan; Sottile, Frank; van Willigenburg, Stephanie
13
2002
Vanishing ideals of lattice diagram determinants. Zbl 1009.05137
Aval, J.-C.; Bergeron, N.
4
2002
Spaces of lattice diagram polynomials in one set of variables. Zbl 1009.05135
Aval, Jean-Christophe; Bergeron, François; Bergeron, Nantel
2
2002
Noncommutative Pieri operators on posets. Zbl 0969.05064
Bergeron, Nantel; Mykytiuk, Stefan; Sottile, Frank; van Willigenburg, Stephanie
27
2000
Lattice diagram polynomials and extended Pieri rules. Zbl 0934.05122
Bergeron, François; Bergeron, Nantel; Garsia, Adriano M.; Haiman, Mark; Tesler, Glenn
16
1999
Hopf algebras and edge-labeled posets. Zbl 0933.05149
Bergeron, Nantel; Sottile, Frank
9
1999
A monoid for the Grassmannian Bruhat order. Zbl 0926.05034
Bergeron, Nantel; Sottile, Frank
8
1999
Schubert polynomials, the Bruhat order, and the geometry of flag manifolds. Zbl 0939.05084
Bergeron, Nantel; Sottile, Frank
37
1998
A multiplication rule for the descent algebra of type \(D\). Zbl 0973.20004
Bergeron, Nantel; van Willigenburg, Stephanie
4
1998
The decomposition of Hochschild cohomology and Gerstenhaber operations. Zbl 0851.16004
Bergeron, Nantel; Wolfgang, H. Lewis
9
1995
Hyperoctahedral operations on Hochschild homology. Zbl 0833.16006
Bergeron, Nantel
2
1995
The structure of the universal exponential solution of the Yang-Baxter equation. Zbl 0833.17004
Bergeron, Nantel
1
1994
rc-graphs and Schubert polynomials. Zbl 0803.05054
Bergeron, Nantel; Billey, Sara
72
1993
A decomposition of the descent algebra of a finite Coxeter group. Zbl 0798.20031
Bergeron, F.; Bergeron, N.; Howlett, R. B.; Taylor, D. E.
39
1992
Orthogonal idempotents in the descent algebra of \(B_ n\) and applications. Zbl 0793.20004
Bergeron, François; Bergeron, Nantel
25
1992
A decomposition of the descent algebra of the hyperoctahedral group. I, II. Zbl 0798.20008
Bergeron, F.; Bergeron, N.
20
1992
On certain spaces of harmonic polynomials. Zbl 0798.05073
Bergeron, N.; Garsia, A. M.
11
1992
A combinatorial construction of the Schubert polynomials. Zbl 0771.05097
Bergeron, Nantel
9
1992
Zonal polynomials and domino tableaux. Zbl 0759.05098
Bergeron, Nantel; Garsia, Adriano M.
6
1992
Symbolic manipulation for the study of the descent algebra of finite Coxeter groups. Zbl 0790.20058
Bergeron, François; Bergeron, Nantel
4
1992
A hyperoctahedral analogue of the free Lie algebra. Zbl 0759.17003
Bergeron, Nantel
11
1991
Idempotents for the free Lie algebra and q-enumeration. Zbl 0721.17006
Bergeron, F.; Bergeron, N.; Garsia, A. M.
21
1990
The Orlik-Solomon algebra on the partition lattice and the free Lie algebra. Zbl 0709.17004
Barcelo, Hélène; Bergeron, Nantel
13
1990
Sergeev’s formula and the Littlewood-Richardson rule. Zbl 0732.05060
Bergeron, N.; Garsia, A. M.
9
1990
all top 5

Cited by 544 Authors

45 Bergeron, Nantel
19 Thibon, Jean-Yves
17 Novelli, Jean-Christophe
15 Van Willigenburg, Stephanie J.
11 Aval, Jean-Christophe
11 Bergeron, François
11 Fulman, Jason E.
11 Marberg, Eric
11 Sottile, Frank
11 Thiem, Nathaniel
10 Hu, Naihong
10 Mason, Sarah K.
10 Zabrocki, Mike
9 Benedetti, Carolina
8 Diaconis, Persi Warren
8 Garsia, Adriano M.
8 Hivert, Florent
8 Hsiao, Samuel K.
8 Jing, Naihuan
8 Mészáros, Karola
8 Searles, Dominic
8 Tewari, Vasu V.
8 Yong, Alexander
8 Zhang, Honglian
7 Huang, Jia
7 Panov, Aleksandr Nikolaevich
7 Saliola, Franco V.
6 Aguiar, Marcelo
6 Skovsted Buch, Anders
6 Hohlweg, Christophe
6 Li, Yunnan
6 Loehr, Nicholas A.
6 Petersen, T. Kyle
6 Pfeiffer, Götz
6 Reutenauer, Christophe
6 Schocker, Manfred
6 Weigandt, Anna E.
5 Aliniaeifard, Farid
5 Billera, Louis J.
5 Ceballos, Cesar
5 Douglass, J. Matthew
5 Ehrenborg, Richard
5 Hamaker, Zachary
5 Lam, Thomas F.
5 Lenart, Cristian
5 Machacek, John M.
5 Miller, Ezra
5 Patras, Frédéric
5 Sagan, Bruce Eli
5 Stojadinović, Tanja
4 Adin, Ron M.
4 Assaf, Sami H.
4 Berg, Chris
4 Dizier, Avery St.
4 Foissy, Loïc
4 Gessel, Ira Martin
4 Grujić, Vladimir N.
4 Haglund, James
4 Knutson, Allen
4 Kresch, Andrew
4 Li, Huilan
4 Manchon, Dominique
4 Pang, C. Y. Amy
4 Pawlowski, Brendan Alexander
4 Pechenik, Oliver
4 Reiner, Victor
4 Remmel, Jeffrey B.
4 Rhoades, Brendon
4 Röhrle, Gerhard E.
4 Roichman, Yuval
4 Ronco, María Ofelia
4 Rosas, Mercedes Helena
4 Tamvakis, Harry
4 Warrington, Gregory S.
3 André, Carlos Alberto Martins
3 Andrews, Scott
3 Barcelo, Hélène
3 Bennett, Curtis D.
3 Billey, Sara C.
3 Bishop, Marcus
3 Ebrahimi-Fard, Kurusch
3 Grinberg, Darij
3 Guo, Li
3 Haiman, Mark D.
3 Hendrickson, Anders O. F.
3 Karaali, Gizem
3 Kharchenko, Vladislav K.
3 Kirillov, Anatol N.
3 Kogan, Mikhail N.
3 Labbé, Jean-Philippe
3 Lange, Carsten
3 Lauve, Aaron
3 Liu, Ricky Ini
3 Luoto, Kurt W.
3 Morse, Jennifer
3 Niese, Elizabeth M.
3 Nyman, Kathryn L.
3 Oda, Fumihito
3 Orellana, Rosa C.
3 Pei, Yufeng
...and 444 more Authors
all top 5

Cited in 96 Serials

57 Journal of Combinatorial Theory. Series A
57 Journal of Algebraic Combinatorics
43 Journal of Algebra
41 Advances in Mathematics
34 Séminaire Lotharingien de Combinatoire
26 The Electronic Journal of Combinatorics
22 Discrete Mathematics
22 Advances in Applied Mathematics
21 Annals of Combinatorics
20 Transactions of the American Mathematical Society
17 Algebraic Combinatorics
14 European Journal of Combinatorics
13 Proceedings of the American Mathematical Society
11 Communications in Algebra
11 Journal of Pure and Applied Algebra
7 International Journal of Algebra and Computation
7 Algebras and Representation Theory
6 Selecta Mathematica. New Series
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Journal of Algebra and its Applications
5 Journal of Mathematical Physics
5 Mathematische Zeitschrift
5 SIAM Journal on Discrete Mathematics
4 Annales de l’Institut Fourier
4 Order
4 Acta Mathematica Sinica. English Series
3 Israel Journal of Mathematics
3 Letters in Mathematical Physics
3 Duke Mathematical Journal
3 Journal of the American Mathematical Society
3 Experimental Mathematics
3 Algebra Colloquium
3 The Ramanujan Journal
2 Communications in Mathematical Physics
2 Rocky Mountain Journal of Mathematics
2 Journal of Geometry and Physics
2 The Annals of Probability
2 Compositio Mathematica
2 Inventiones Mathematicae
2 Mathematische Annalen
2 Memoirs of the American Mathematical Society
2 Theoretical Computer Science
2 Combinatorica
2 Acta Applicandae Mathematicae
2 Discrete & Computational Geometry
2 Journal of Mathematical Sciences (New York)
2 Mediterranean Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Nuclear Physics. B
1 Theoretical and Mathematical Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Czechoslovak Mathematical Journal
1 Functional Analysis and its Applications
1 Illinois Journal of Mathematics
1 Journal für die Reine und Angewandte Mathematik
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Results in Mathematics
1 Graphs and Combinatorics
1 Journal of Symbolic Computation
1 Journal of Theoretical Probability
1 Science in China. Series A
1 The Annals of Applied Probability
1 Linear Algebra and its Applications
1 Proceedings of the National Academy of Sciences of the United States of America
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Knot Theory and its Ramifications
1 The Australasian Journal of Combinatorics
1 New Zealand Journal of Mathematics
1 Vestnik St. Petersburg University. Mathematics
1 Computational Complexity
1 Journal of Algebraic Geometry
1 Applied Mathematics. Series B (English Edition)
1 St. Petersburg Mathematical Journal
1 Annales Mathématiques Blaise Pascal
1 Bulletin des Sciences Mathématiques
1 Transformation Groups
1 Journal of Group Theory
1 Communications in Contemporary Mathematics
1 Journal of the Australian Mathematical Society
1 Chebyshevskiĭ Sbornik
1 Frontiers of Mathematics in China
1 International Electronic Journal of Algebra (IEJA)
1 Applicable Analysis and Discrete Mathematics
1 Japanese Journal of Mathematics. 3rd Series
1 São Paulo Journal of Mathematical Sciences
1 International Journal of Combinatorics
1 Quantum Topology
1 Communications in Mathematics and Statistics
1 Journal of Computational Dynamics
1 Research in the Mathematical Sciences
1 European Journal of Mathematics
1 Open Mathematics
1 Journal of Algebra, Combinatorics, Discrete Structures and Applications
1 AIMS Mathematics
all top 5

Cited in 40 Fields

447 Combinatorics (05-XX)
184 Group theory and generalizations (20-XX)
167 Associative rings and algebras (16-XX)
118 Algebraic geometry (14-XX)
76 Nonassociative rings and algebras (17-XX)
60 Order, lattices, ordered algebraic structures (06-XX)
43 Convex and discrete geometry (52-XX)
22 Probability theory and stochastic processes (60-XX)
20 Commutative algebra (13-XX)
18 Category theory; homological algebra (18-XX)
16 Quantum theory (81-XX)
13 Number theory (11-XX)
10 \(K\)-theory (19-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Computer science (68-XX)
7 Special functions (33-XX)
6 Manifolds and cell complexes (57-XX)
5 Algebraic topology (55-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Abstract harmonic analysis (43-XX)
3 Geometry (51-XX)
3 Differential geometry (53-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 General algebraic systems (08-XX)
2 Topological groups, Lie groups (22-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Functional analysis (46-XX)
2 Statistics (62-XX)
1 Real functions (26-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Ordinary differential equations (34-XX)
1 Partial differential equations (35-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Operator theory (47-XX)
1 Numerical analysis (65-XX)
1 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)

Citations by Year