Edit Profile (opens in new tab) Bergeron, Nantel Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 5 single-authored 17 Zabrocki, Mike 9 Benedetti, Carolina 9 Bergeron, François 9 Sottile, Frank 8 Aval, Jean-Christophe 8 Berg, Chris 8 Saliola, Franco V. 6 Ceballos, Cesar 6 Li, Huilan 5 Aguiar, Marcelo 5 Garsia, Adriano M. 5 Thiem, Nathaniel 4 Hohlweg, Christophe 4 Machacek, John M. 3 Chen, Zhi 3 Descouens, Francois 3 Thibon, Jean-Yves 3 Van Willigenburg, Stephanie J. 2 André, Carlos Alberto Martins 2 Bhargava, Sandeep 2 Diaconis, Persi Warren 2 Gao, Yun 2 Hendrickson, Anders O. F. 2 Hsiao, Samuel K. 2 Hu, Naihong 2 Isaacs, I. Martin 2 Jedwab, Andrea 2 Johnson, Kenneth W. 2 Karaali, Gizem 2 Küstner, Josef 2 Labbé, Jean-Philippe 2 Lam, Thomas F. 2 Lauve, Aaron 2 Le, Tung 2 Livernet, Muriel 2 Magaard, Kay 2 Marberg, Eric 2 Mykytiuk, Stefan 2 Novelli, Jean-Christophe 2 Pang, Amy 2 Reutenauer, Christophe 2 Rosas, Mercedes Helena 2 Tevlin, Lenny 2 Thomas, Hugh Ross 2 Venkateswaran, Vidya 2 Vinroot, C. Ryan 2 Yan, Ning 1 Assaf, Sami H. 1 Baker-Jarvis, Duff 1 Barcelo, Hélène 1 Billey, Sara C. 1 Cesar, Ceballos 1 Choquette, Philippe 1 Cruz, Lilian J. 1 Dermenjian, Aram 1 Goulden, Ian P. 1 Haiman, Mark D. 1 Hivert, Florent 1 Howlett, Robert B. 1 Lange, Carsten 1 Loday, Jean-Louis 1 Nyman, Kathryn L. 1 Patras, Frédéric 1 Pon, Steven 1 Ram, Arun 1 Sánchez Ortega, Juana 1 Tesler, Glenn 1 Vincent, Pilaud 1 Wolfgang, H. Lewis all top 5 Serials 8 Journal of Combinatorial Theory. Series A 7 Journal of Algebra 7 Séminaire Lotharingien de Combinatoire 6 Discrete Mathematics 5 Advances in Mathematics 4 Journal of Algebraic Combinatorics 4 The Electronic Journal of Combinatorics 3 Journal of Pure and Applied Algebra 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 European Journal of Combinatorics 3 Advances in Applied Mathematics 2 Canadian Journal of Mathematics 2 Journal of Combinatorics 1 Linear and Multilinear Algebra 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Symbolic Computation 1 Discrete & Computational Geometry 1 Lecturas Matemáticas 1 International Journal of Algebra and Computation 1 Experimental Mathematics 1 Journal of Lie Theory 1 Mathematical Research Letters 1 Algebras and Representation Theory 1 Annals of Combinatorics 1 Journal of Algebra and its Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 International Journal of Algebra 1 Algebra & Number Theory 1 Algebraic Combinatorics all top 5 Fields 70 Combinatorics (05-XX) 38 Associative rings and algebras (16-XX) 32 Group theory and generalizations (20-XX) 13 Algebraic geometry (14-XX) 12 Nonassociative rings and algebras (17-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 7 Category theory; homological algebra (18-XX) 4 Commutative algebra (13-XX) 3 Number theory (11-XX) 2 \(K\)-theory (19-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications 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 1092.05070Aguiar, Marcelo; Bergeron, Nantel; Sottile, Frank 96 2006 rc-graphs and Schubert polynomials. Zbl 0803.05054Bergeron, Nantel; Billey, Sara 72 1993 Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras. Zbl 1237.05208Aguiar, 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 0798.20031Bergeron, F.; Bergeron, N.; Howlett, R. B.; Taylor, D. E. 39 1992 Schubert polynomials, the Bruhat order, and the geometry of flag manifolds. Zbl 0939.05084Bergeron, Nantel; Sottile, Frank 37 1998 Drinfel’d doubles and Lusztig’s symmetries of two-parameter quantum groups. Zbl 1148.17007Bergeron, Nantel; Gao, Yun; Hu, Naihong 34 2006 The peak algebra and the descent algebras of types B and D. Zbl 1043.05115Aguiar, Marcelo; Bergeron, Nantel; Nyman, Kathryn 30 2004 A lift of the Schur and Hall-Littlewood bases to non-commutative symmetric functions. Zbl 1291.05206Berg, Chris; Bergeron, Nantel; Saliola, Franco; Serrano, Luis; Zabrocki, Mike 29 2014 Noncommutative Pieri operators on posets. Zbl 0969.05064Bergeron, 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 1188.16030Bergeron, Nantel; Zabrocki, Mike 27 2009 Invariants and coinvariants of the symmetric group in noncommuting variables. Zbl 1180.16025Bergeron, Nantel; Reutenauer, Christophe; Rosas, Mercedes; Zabrocki, Mike 27 2008 Orthogonal idempotents in the descent algebra of \(B_ n\) and applications. Zbl 0793.20004Bergeron, François; Bergeron, Nantel 25 1992 Idempotents for the free Lie algebra and q-enumeration. Zbl 0721.17006Bergeron, F.; Bergeron, N.; Garsia, A. M. 21 1990 A decomposition of the descent algebra of the hyperoctahedral group. I, II. Zbl 0798.20008Bergeron, F.; Bergeron, N. 20 1992 Indecomposable modules for the dual immaculate basis of quasi-symmetric functions. Zbl 1306.05243Berg, Chris; Bergeron, Nantel; Saliola, Franco; Serrano, Luis; Zabrocki, Mike 20 2015 The peak algebra and the Hecke-Clifford algebras at \(q=0\). Zbl 1107.05092Bergeron, Nantel; Hivert, Florent; Thibon, Jean-Yves 18 2004 A Pieri-type formula for isotropic flag manifolds. Zbl 0992.14014Bergeron, Nantel; Sottile, Frank 17 2002 Algebraic structures on Grothendieck groups of a tower of algebras. Zbl 1185.16008Bergeron, Nantel; Li, Huilan 16 2009 Lattice diagram polynomials and extended Pieri rules. Zbl 0934.05122Bergeron, François; Bergeron, Nantel; Garsia, Adriano M.; Haiman, Mark; Tesler, Glenn 16 1999 Hopf monoids from class functions on unitriangular matrices. Zbl 1276.05127Aguiar, Marcelo; Bergeron, Nantel; Thiem, Nathaniel 16 2013 Skew Schubert functions and the Pieri formula for flag manifolds. Zbl 0982.05111Bergeron, Nantel; Sottile, Frank 15 2002 Representations of two-parameter quantum orthogonal and symplectic groups. Zbl 1148.17008Bergeron, Nantel; Gao, Yun; Hu, Naihong 15 2007 Combinatorial Hopf algebras and towers of algebras – dimension, quantization and functorality. Zbl 1281.16036Bergeron, Nantel; Lam, Thomas; Li, Huilan 14 2012 Ideals of quasi-symmetric functions and super-covariant polynomials for \(\mathcal S_n\). Zbl 1031.05127Aval, J.-C.; Bergeron, F.; Bergeron, N. 13 2004 Shifted quasi-symmetric functions and the Hopf algebra of peak functions. Zbl 0996.05117Bergeron, Nantel; Mykytiuk, Stefan; Sottile, Frank; van Willigenburg, Stephanie 13 2002 A supercharacter table decomposition via power-sum symmetric functions. Zbl 1283.20004Bergeron, Nantel; Thiem, Nathaniel 13 2013 The Orlik-Solomon algebra on the partition lattice and the free Lie algebra. Zbl 0709.17004Barcelo, Hélène; Bergeron, Nantel 13 1990 Fan realizations of type \(A\) subword complexes and multi-associahedra of rank 3. Zbl 1327.52014Bergeron, Nantel; Ceballos, Cesar; Labbé, Jean-Philippe 12 2015 A hyperoctahedral analogue of the free Lie algebra. Zbl 0759.17003Bergeron, Nantel 11 1991 On certain spaces of harmonic polynomials. Zbl 0798.05073Bergeron, N.; Garsia, A. M. 11 1992 Primitive orthogonal idempotents for \(R\)-trivial monoids. Zbl 1252.20053Berg, Chris; Bergeron, Nantel; Bhargava, Sandeep; Saliola, Franco 10 2011 A combinatorial construction of the Schubert polynomials. Zbl 0771.05097Bergeron, Nantel 9 1992 Hopf algebras and edge-labeled posets. Zbl 0933.05149Bergeron, Nantel; Sottile, Frank 9 1999 \(q\) and \(q, t\)-analogs of non-commutative symmetric functions. Zbl 1070.05080Bergeron, Nantel; Zabrocki, Michael 9 2005 The decomposition of Hochschild cohomology and Gerstenhaber operations. Zbl 0851.16004Bergeron, Nantel; Wolfgang, H. Lewis 9 1995 Coloured peak algebras and Hopf algebras. Zbl 1103.16023Bergeron, Nantel; Hohlweg, Christophe 9 2006 Sergeev’s formula and the Littlewood-Richardson rule. Zbl 0732.05060Bergeron, N.; Garsia, A. M. 9 1990 A monoid for the Grassmannian Bruhat order. Zbl 0926.05034Bergeron, Nantel; Sottile, Frank 8 1999 Grothendieck bialgebras, partition lattices, and symmetric functions in noncommutative variables. Zbl 1098.05079Bergeron, N.; Hohlweg, C.; Rosas, M.; Zabrocki, M. 8 2006 The antipode and primitive elements in the Hopf monoid of supercharacters. Zbl 1304.05147Baker-Jarvis, Duff; Bergeron, Nantel; Thiem, Nathaniel 7 2014 Expansion of \(k\)-Schur functions for maximal rectangles within the affine nilCoxeter algebra. Zbl 1291.05218Berg, Chris; Bergeron, Nantel; Thomas, Hugh; Zabrocki, Mike 7 2012 The symmetric operation in a free pre-Lie algebra is magmatic. Zbl 1264.17001Bergeron, Nantel; Loday, Jean-Louis 7 2011 A Hopf algebra of subword complexes. Zbl 1359.16029Bergeron, Nantel; Ceballos, Cesar 7 2017 Isometry classes of generalized associahedra. Zbl 1227.05273Bergeron, Nantel; Hohlweg, Christophe; Lange, Carsten; Thomas, Hugh 7 2009 Zonal polynomials and domino tableaux. Zbl 0759.05098Bergeron, Nantel; Garsia, Adriano M. 6 1992 Catalan paths and quasi-symmetric functions. Zbl 1006.05064Aval, J.-C.; Bergeron, N. 5 2003 Vanishing ideals of lattice diagram determinants. Zbl 1009.05137Aval, J.-C.; Bergeron, N. 4 2002 A multiplication rule for the descent algebra of type \(D\). Zbl 0973.20004Bergeron, Nantel; van Willigenburg, Stephanie 4 1998 Symbolic manipulation for the study of the descent algebra of finite Coxeter groups. Zbl 0790.20058Bergeron, François; Bergeron, Nantel 4 1992 Flagged \(( \mathcal{P}, \rho)\)-partitions. Zbl 1442.14154Assaf, Sami; Bergeron, Nantel 4 2020 Immaculate basis of the non-commutative symmetric functions (extended abstract). Zbl 1294.05154Berg, Chris; Bergeron, Nantel; Saliola, Franco; Serrano, Luis; Zabrocki, Mike 4 2013 The Pieri rule for dual immaculate quasi-symmetric functions. Zbl 1344.05146Bergeron, Nantel; Sánchez-Ortega, Juana; Zabrocki, Mike 4 2016 Hypergraphic polytopes: combinatorial properties and antipode. Zbl 1411.05193Benedetti, Carolina; Bergeron, Nantel; Machacek, John 3 2019 The antipode of linearized Hopf monoids. Zbl 1384.05177Benedetti, Carolina; Bergeron, Nantel 3 2017 A combinatorial basis for the free Lie algebra of the labelled rooted trees. Zbl 1229.18010Bergeron, Nantel; Livernet, Muriel 3 2010 Diagonal Temperley-Lieb invariants and harmonics. Zbl 1192.16032Aval, J.-C.; Bergeron, F.; Bergeron, N. 3 2005 Posets related to the connectivity set of Coxeter groups. Zbl 1113.06001Bergeron, N.; Hohlweg, C.; Zabrocki, M. 3 2006 Spaces of lattice diagram polynomials in one set of variables. Zbl 1009.05135Aval, Jean-Christophe; Bergeron, François; Bergeron, Nantel 2 2002 Hopf dreams. Zbl 1436.05119Bergeron, Nantel; Cesar, Ceballos; Vincent, Pilaud 2 2019 Schubert polynomials and \(k\)-Schur functions. Zbl 1302.05203Benedetti, Carolina; Bergeron, Nantel 2 2014 Hyperoctahedral operations on Hochschild homology. Zbl 0833.16006Bergeron, Nantel 2 1995 A filtration of \((q,t)\)-Catalan numbers. Zbl 1192.05173Bergeron, N.; Descouens, F.; Zabrocki, M. 2 2010 Multiplicative structures of the immaculate basis of non-commutative symmetric functions. Zbl 1369.05202Berg, Chris; Bergeron, Nantel; Saliola, Franco; Serrano, Luis; Zabrocki, Mike 2 2017 The antipode of linearized Hopf monoids. Zbl 1422.16037Benedetti, Carolina; Bergeron, Nantel 1 2019 Combinatorial Hopf algebras and towers of algebras. Zbl 1394.16044Bergeron, Nantel; Lam, Thomas; Li, Huilan 1 2008 A generalization of \((q,t)\)-Catalan and nabla operators. Zbl 1393.05265Bergeron, N.; Descouens, F.; Zabrocki, M. 1 2008 Hypergraphic polytopes: combinatorial properties and antipode. Zbl 1411.05192Benedetti, Carolina; Bergeron, Nantel; Machacek, John 1 2018 Fomin-Greene monoids and Pieri operations. Zbl 1434.16017Benedetti, Carolina; Bergeron, Nantel 1 2014 The non-symmetric operad pre-Lie is free. Zbl 1219.18005Bergeron, Nantel; Livernet, Muriel 1 2010 Bases for diagonally alternating harmonic polynomials of low degree. Zbl 1241.05147Bergeron, Nantel; Chen, Zhi 1 2011 The structure of the universal exponential solution of the Yang-Baxter equation. Zbl 0833.17004Bergeron, Nantel 1 1994 Elliptic and \(q\)-analogs of the fibonomial numbers. Zbl 1447.05037Bergeron, Nantel; Ceballos, Cesar; Küstner, Josef 1 2020 New invariants for permutations, orders and graphs. Zbl 1462.16036Aval, Jean-Christophe; Bergeron, Nantel; Machacek, John 1 2020 Flagged \(( \mathcal{P}, \rho)\)-partitions. Zbl 1442.14154Assaf, Sami; Bergeron, Nantel 4 2020 Elliptic and \(q\)-analogs of the fibonomial numbers. Zbl 1447.05037Bergeron, Nantel; Ceballos, Cesar; Küstner, Josef 1 2020 New invariants for permutations, orders and graphs. Zbl 1462.16036Aval, Jean-Christophe; Bergeron, Nantel; Machacek, John 1 2020 Hypergraphic polytopes: combinatorial properties and antipode. Zbl 1411.05193Benedetti, Carolina; Bergeron, Nantel; Machacek, John 3 2019 Hopf dreams. Zbl 1436.05119Bergeron, Nantel; Cesar, Ceballos; Vincent, Pilaud 2 2019 The antipode of linearized Hopf monoids. Zbl 1422.16037Benedetti, Carolina; Bergeron, Nantel 1 2019 Hypergraphic polytopes: combinatorial properties and antipode. Zbl 1411.05192Benedetti, Carolina; Bergeron, Nantel; Machacek, John 1 2018 A Hopf algebra of subword complexes. Zbl 1359.16029Bergeron, Nantel; Ceballos, Cesar 7 2017 The antipode of linearized Hopf monoids. Zbl 1384.05177Benedetti, Carolina; Bergeron, Nantel 3 2017 Multiplicative structures of the immaculate basis of non-commutative symmetric functions. Zbl 1369.05202Berg, Chris; Bergeron, Nantel; Saliola, Franco; Serrano, Luis; Zabrocki, Mike 2 2017 The Pieri rule for dual immaculate quasi-symmetric functions. Zbl 1344.05146Bergeron, Nantel; Sánchez-Ortega, Juana; Zabrocki, Mike 4 2016 Indecomposable modules for the dual immaculate basis of quasi-symmetric functions. Zbl 1306.05243Berg, 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 1327.52014Bergeron, Nantel; Ceballos, Cesar; Labbé, Jean-Philippe 12 2015 A lift of the Schur and Hall-Littlewood bases to non-commutative symmetric functions. Zbl 1291.05206Berg, Chris; Bergeron, Nantel; Saliola, Franco; Serrano, Luis; Zabrocki, Mike 29 2014 The antipode and primitive elements in the Hopf monoid of supercharacters. Zbl 1304.05147Baker-Jarvis, Duff; Bergeron, Nantel; Thiem, Nathaniel 7 2014 Schubert polynomials and \(k\)-Schur functions. Zbl 1302.05203Benedetti, Carolina; Bergeron, Nantel 2 2014 Fomin-Greene monoids and Pieri operations. Zbl 1434.16017Benedetti, Carolina; Bergeron, Nantel 1 2014 Hopf monoids from class functions on unitriangular matrices. Zbl 1276.05127Aguiar, Marcelo; Bergeron, Nantel; Thiem, Nathaniel 16 2013 A supercharacter table decomposition via power-sum symmetric functions. Zbl 1283.20004Bergeron, Nantel; Thiem, Nathaniel 13 2013 Immaculate basis of the non-commutative symmetric functions (extended abstract). Zbl 1294.05154Berg, Chris; Bergeron, Nantel; Saliola, Franco; Serrano, Luis; Zabrocki, Mike 4 2013 Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras. Zbl 1237.05208Aguiar, 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 1281.16036Bergeron, Nantel; Lam, Thomas; Li, Huilan 14 2012 Expansion of \(k\)-Schur functions for maximal rectangles within the affine nilCoxeter algebra. Zbl 1291.05218Berg, Chris; Bergeron, Nantel; Thomas, Hugh; Zabrocki, Mike 7 2012 Primitive orthogonal idempotents for \(R\)-trivial monoids. Zbl 1252.20053Berg, Chris; Bergeron, Nantel; Bhargava, Sandeep; Saliola, Franco 10 2011 The symmetric operation in a free pre-Lie algebra is magmatic. Zbl 1264.17001Bergeron, Nantel; Loday, Jean-Louis 7 2011 Bases for diagonally alternating harmonic polynomials of low degree. Zbl 1241.05147Bergeron, Nantel; Chen, Zhi 1 2011 A combinatorial basis for the free Lie algebra of the labelled rooted trees. Zbl 1229.18010Bergeron, Nantel; Livernet, Muriel 3 2010 A filtration of \((q,t)\)-Catalan numbers. Zbl 1192.05173Bergeron, N.; Descouens, F.; Zabrocki, M. 2 2010 The non-symmetric operad pre-Lie is free. Zbl 1219.18005Bergeron, 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 1188.16030Bergeron, Nantel; Zabrocki, Mike 27 2009 Algebraic structures on Grothendieck groups of a tower of algebras. Zbl 1185.16008Bergeron, Nantel; Li, Huilan 16 2009 Isometry classes of generalized associahedra. Zbl 1227.05273Bergeron, Nantel; Hohlweg, Christophe; Lange, Carsten; Thomas, Hugh 7 2009 Invariants and coinvariants of the symmetric group in noncommuting variables. Zbl 1180.16025Bergeron, Nantel; Reutenauer, Christophe; Rosas, Mercedes; Zabrocki, Mike 27 2008 Combinatorial Hopf algebras and towers of algebras. Zbl 1394.16044Bergeron, Nantel; Lam, Thomas; Li, Huilan 1 2008 A generalization of \((q,t)\)-Catalan and nabla operators. Zbl 1393.05265Bergeron, N.; Descouens, F.; Zabrocki, M. 1 2008 Representations of two-parameter quantum orthogonal and symplectic groups. Zbl 1148.17008Bergeron, Nantel; Gao, Yun; Hu, Naihong 15 2007 Combinatorial Hopf algebras and generalized Dehn-Sommerville relations. Zbl 1092.05070Aguiar, Marcelo; Bergeron, Nantel; Sottile, Frank 96 2006 Drinfel’d doubles and Lusztig’s symmetries of two-parameter quantum groups. Zbl 1148.17007Bergeron, Nantel; Gao, Yun; Hu, Naihong 34 2006 Coloured peak algebras and Hopf algebras. Zbl 1103.16023Bergeron, Nantel; Hohlweg, Christophe 9 2006 Grothendieck bialgebras, partition lattices, and symmetric functions in noncommutative variables. Zbl 1098.05079Bergeron, N.; Hohlweg, C.; Rosas, M.; Zabrocki, M. 8 2006 Posets related to the connectivity set of Coxeter groups. Zbl 1113.06001Bergeron, N.; Hohlweg, C.; Zabrocki, M. 3 2006 \(q\) and \(q, t\)-analogs of non-commutative symmetric functions. Zbl 1070.05080Bergeron, Nantel; Zabrocki, Michael 9 2005 Diagonal Temperley-Lieb invariants and harmonics. Zbl 1192.16032Aval, J.-C.; Bergeron, F.; Bergeron, N. 3 2005 The peak algebra and the descent algebras of types B and D. Zbl 1043.05115Aguiar, Marcelo; Bergeron, Nantel; Nyman, Kathryn 30 2004 The peak algebra and the Hecke-Clifford algebras at \(q=0\). Zbl 1107.05092Bergeron, Nantel; Hivert, Florent; Thibon, Jean-Yves 18 2004 Ideals of quasi-symmetric functions and super-covariant polynomials for \(\mathcal S_n\). Zbl 1031.05127Aval, J.-C.; Bergeron, F.; Bergeron, N. 13 2004 Catalan paths and quasi-symmetric functions. Zbl 1006.05064Aval, J.-C.; Bergeron, N. 5 2003 A Pieri-type formula for isotropic flag manifolds. Zbl 0992.14014Bergeron, Nantel; Sottile, Frank 17 2002 Skew Schubert functions and the Pieri formula for flag manifolds. Zbl 0982.05111Bergeron, Nantel; Sottile, Frank 15 2002 Shifted quasi-symmetric functions and the Hopf algebra of peak functions. Zbl 0996.05117Bergeron, Nantel; Mykytiuk, Stefan; Sottile, Frank; van Willigenburg, Stephanie 13 2002 Vanishing ideals of lattice diagram determinants. Zbl 1009.05137Aval, J.-C.; Bergeron, N. 4 2002 Spaces of lattice diagram polynomials in one set of variables. Zbl 1009.05135Aval, Jean-Christophe; Bergeron, François; Bergeron, Nantel 2 2002 Noncommutative Pieri operators on posets. Zbl 0969.05064Bergeron, Nantel; Mykytiuk, Stefan; Sottile, Frank; van Willigenburg, Stephanie 27 2000 Lattice diagram polynomials and extended Pieri rules. Zbl 0934.05122Bergeron, François; Bergeron, Nantel; Garsia, Adriano M.; Haiman, Mark; Tesler, Glenn 16 1999 Hopf algebras and edge-labeled posets. Zbl 0933.05149Bergeron, Nantel; Sottile, Frank 9 1999 A monoid for the Grassmannian Bruhat order. Zbl 0926.05034Bergeron, Nantel; Sottile, Frank 8 1999 Schubert polynomials, the Bruhat order, and the geometry of flag manifolds. Zbl 0939.05084Bergeron, Nantel; Sottile, Frank 37 1998 A multiplication rule for the descent algebra of type \(D\). Zbl 0973.20004Bergeron, Nantel; van Willigenburg, Stephanie 4 1998 The decomposition of Hochschild cohomology and Gerstenhaber operations. Zbl 0851.16004Bergeron, Nantel; Wolfgang, H. Lewis 9 1995 Hyperoctahedral operations on Hochschild homology. Zbl 0833.16006Bergeron, Nantel 2 1995 The structure of the universal exponential solution of the Yang-Baxter equation. Zbl 0833.17004Bergeron, Nantel 1 1994 rc-graphs and Schubert polynomials. Zbl 0803.05054Bergeron, Nantel; Billey, Sara 72 1993 A decomposition of the descent algebra of a finite Coxeter group. Zbl 0798.20031Bergeron, F.; Bergeron, N.; Howlett, R. B.; Taylor, D. E. 39 1992 Orthogonal idempotents in the descent algebra of \(B_ n\) and applications. Zbl 0793.20004Bergeron, François; Bergeron, Nantel 25 1992 A decomposition of the descent algebra of the hyperoctahedral group. I, II. Zbl 0798.20008Bergeron, F.; Bergeron, N. 20 1992 On certain spaces of harmonic polynomials. Zbl 0798.05073Bergeron, N.; Garsia, A. M. 11 1992 A combinatorial construction of the Schubert polynomials. Zbl 0771.05097Bergeron, Nantel 9 1992 Zonal polynomials and domino tableaux. Zbl 0759.05098Bergeron, Nantel; Garsia, Adriano M. 6 1992 Symbolic manipulation for the study of the descent algebra of finite Coxeter groups. Zbl 0790.20058Bergeron, François; Bergeron, Nantel 4 1992 A hyperoctahedral analogue of the free Lie algebra. Zbl 0759.17003Bergeron, Nantel 11 1991 Idempotents for the free Lie algebra and q-enumeration. Zbl 0721.17006Bergeron, F.; Bergeron, N.; Garsia, A. M. 21 1990 The Orlik-Solomon algebra on the partition lattice and the free Lie algebra. Zbl 0709.17004Barcelo, Hélène; Bergeron, Nantel 13 1990 Sergeev’s formula and the Littlewood-Richardson rule. Zbl 0732.05060Bergeron, N.; Garsia, A. M. 9 1990 all cited Publications top 5 cited Publications 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