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Author ID: zabrocki.mike Recent zbMATH articles by "Zabrocki, Mike"
Published as: Zabrocki, Mike; Zabrocki, M.; Zabrocki, Michael
Homepage: https://garsia.math.yorku.ca/~zabrocki/
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 361 times in 274 Documents Cited by Year
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
40
2012
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
Invariants and coinvariants of the symmetric group in noncommuting variables. Zbl 1180.16025
Bergeron, Nantel; Reutenauer, Christophe; Rosas, Mercedes; Zabrocki, Mike
27
2008
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
A compositional shuffle conjecture specifying touch points of the Dyck path. Zbl 1246.05163
Haglund, J.; Morse, J.; Zabrocki, M.
26
2012
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
Hall-Littlewood vertex operators and generalized Kostka polynomials. Zbl 0997.17017
Shimozono, Mark; Zabrocki, Mike
15
2001
\(k\)-Schur functions and affine Schubert calculus. Zbl 1360.14004
Lam, Thomas; Lapointe, Luc; Morse, Jennifer; Schilling, Anne; Shimozono, Mark; Zabrocki, Mike
15
2014
On the Stanley–Wilf limit of 4231-avoiding permutations and a conjecture of Arratia. Zbl 1089.05002
Albert, M. H.; Elder, M.; Rechnitzer, A.; Westcott, P.; Zabrocki, M.
15
2006
Products of symmetric group characters. Zbl 1414.05298
Orellana, Rosa; Zabrocki, Mike
11
2019
Deformed universal characters for classical and affine algebras. Zbl 1122.17018
Shimozono, Mark; Zabrocki, Mike
9
2006
\(q\) and \(q, t\)-analogs of non-commutative symmetric functions. Zbl 1070.05080
Bergeron, Nantel; Zabrocki, Michael
9
2005
Hall-Littlewood operators in the theory of parking functions and diagonal harmonics. Zbl 1238.05273
Garsia, A. M.; Xin, G.; Zabrocki, M.
9
2012
Expressions for Catalan Kronecker products. Zbl 1230.05275
Brown, Andrew A. H.; Van Willigenburg, Stephanie; Zabrocki, Mike
9
2010
Kronecker coefficients via symmetric functions and constant term identities. Zbl 1242.05269
Garsia, Adriano; Wallach, Nolan; Xin, Guoce; Zabrocki, Mike
9
2012
Grothendieck bialgebras, partition lattices, and symmetric functions in noncommutative variables. Zbl 1098.05079
Bergeron, N.; Hohlweg, C.; Rosas, M.; Zabrocki, M.
8
2006
A proof of the 4-variable Catalan polynomial of the delta conjecture. Zbl 1417.05244
Zabrocki, Mike
8
2019
Positivity for special cases of \((q,t)\)-Kostka coefficients and standard tableaux statistics. Zbl 0931.05086
Zabrocki, Mike
7
1999
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
A Macdonald vertex operator and standard tableaux statistics for the two-column \((q,t)\)-Kosta coefficients. Zbl 0906.05078
Zabrocki, Mike
7
1998
The Murnaghan-Nakayama rule for \(k\)-Schur functions. Zbl 1232.05228
Bandlow, Jason; Schilling, Anne; Zabrocki, Mike
5
2011
A \(q\)-analog of Schur’s \(Q\)-functions. Zbl 1076.05523
Tudose, Geanina; Zabrocki, Michael
5
2003
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
Ribbon operators and Hall-Littlewood symmetric functions. Zbl 0984.05075
Zabrocki, Mike
4
2000
The Pieri rule for dual immaculate quasi-symmetric functions. Zbl 1344.05146
Bergeron, Nantel; Sánchez-Ortega, Juana; Zabrocki, Mike
4
2016
Posets related to the connectivity set of Coxeter groups. Zbl 1113.06001
Bergeron, N.; Hohlweg, C.; Zabrocki, M.
3
2006
Some new applications of the Stanley-Macdonald Pieri rules. Zbl 1364.05078
Garsia, Adriano; Haglund, Jim; Xin, Guoce; Zabrocki, Mike
3
2016
Hilbert series of invariants, constant terms and Kostka-Foulkes polynomials. Zbl 1228.05289
Garsia, A.; Wallach, N.; Xin, G.; Zabrocki, M.
3
2009
The Hopf structure of symmetric group characters as symmetric functions. Zbl 1467.05271
Orellana, Rosa; Zabrocki, Mike
3
2021
Vertex operators for standard bases of the symmetric functions. Zbl 1160.05341
Zabrocki, Mike
2
2001
Symmetries on the lattice of \(k\)-bounded partitions. Zbl 1339.05431
Berg, Chris; Williams, Nathan; Zabrocki, Mike
2
2016
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
\(q\)-analogs of symmetric function operators. Zbl 1020.05071
Zabrocki, Michael
2
2002
A filtration of \((q,t)\)-Catalan numbers. Zbl 1192.05173
Bergeron, N.; Descouens, F.; Zabrocki, M.
2
2010
Analytic aspects of the shuffle product. Zbl 1259.68111
Mishna, Marni; Zabrocki, Mike
2
2008
Proof of the 2-part compositional shuffle conjecture. Zbl 1312.05141
Garsia, Adriano M.; Xin, Gouce; Zabrocki, Mike
1
2014
A three shuffle case of the compositional parking function conjecture. Zbl 1281.05127
Garsia, Adriano M.; Xin, Guoce; Zabrocki, Mike
1
2014
Polynomiality of the \(q,t\)-Kostka revisited. Zbl 0969.05063
Garsia, A. M.; Zabrocki, M.
1
2001
Symmetric group characters as symmetric functions. Zbl 1473.05309
Orellana, Rosa; Zabrocki, Mike
1
2021
A new “dinv” arising from the two part case of the shuffle conjecture. Zbl 1268.05228
Duane, A.; Garsia, A. M.; Zabrocki, M.
1
2013
An insertion algorithm on multiset partitions with applications to diagram algebras. Zbl 1460.05195
Colmenarejo, Laura; Orellana, Rosa; Saliola, Franco; Schilling, Anne; Zabrocki, Mike
1
2020
A generalization of \((q,t)\)-Catalan and nabla operators. Zbl 1393.05265
Bergeron, N.; Descouens, F.; Zabrocki, M.
1
2008
A combinatorial model for the decomposition of multivariate polynomial rings as \(S_n\)-modules. Zbl 1445.05112
Orellana, Rosa; Zabrocki, Michael
1
2020
The Hopf structure of symmetric group characters as symmetric functions. Zbl 1467.05271
Orellana, Rosa; Zabrocki, Mike
3
2021
Symmetric group characters as symmetric functions. Zbl 1473.05309
Orellana, Rosa; Zabrocki, Mike
1
2021
An insertion algorithm on multiset partitions with applications to diagram algebras. Zbl 1460.05195
Colmenarejo, Laura; Orellana, Rosa; Saliola, Franco; Schilling, Anne; Zabrocki, Mike
1
2020
A combinatorial model for the decomposition of multivariate polynomial rings as \(S_n\)-modules. Zbl 1445.05112
Orellana, Rosa; Zabrocki, Michael
1
2020
Products of symmetric group characters. Zbl 1414.05298
Orellana, Rosa; Zabrocki, Mike
11
2019
A proof of the 4-variable Catalan polynomial of the delta conjecture. Zbl 1417.05244
Zabrocki, Mike
8
2019
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
Some new applications of the Stanley-Macdonald Pieri rules. Zbl 1364.05078
Garsia, Adriano; Haglund, Jim; Xin, Guoce; Zabrocki, Mike
3
2016
Symmetries on the lattice of \(k\)-bounded partitions. Zbl 1339.05431
Berg, Chris; Williams, Nathan; Zabrocki, Mike
2
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
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
\(k\)-Schur functions and affine Schubert calculus. Zbl 1360.14004
Lam, Thomas; Lapointe, Luc; Morse, Jennifer; Schilling, Anne; Shimozono, Mark; Zabrocki, Mike
15
2014
Proof of the 2-part compositional shuffle conjecture. Zbl 1312.05141
Garsia, Adriano M.; Xin, Gouce; Zabrocki, Mike
1
2014
A three shuffle case of the compositional parking function conjecture. Zbl 1281.05127
Garsia, Adriano M.; Xin, Guoce; Zabrocki, Mike
1
2014
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
A new “dinv” arising from the two part case of the shuffle conjecture. Zbl 1268.05228
Duane, A.; Garsia, A. M.; Zabrocki, M.
1
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
40
2012
A compositional shuffle conjecture specifying touch points of the Dyck path. Zbl 1246.05163
Haglund, J.; Morse, J.; Zabrocki, M.
26
2012
Hall-Littlewood operators in the theory of parking functions and diagonal harmonics. Zbl 1238.05273
Garsia, A. M.; Xin, G.; Zabrocki, M.
9
2012
Kronecker coefficients via symmetric functions and constant term identities. Zbl 1242.05269
Garsia, Adriano; Wallach, Nolan; Xin, Guoce; Zabrocki, Mike
9
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
The Murnaghan-Nakayama rule for \(k\)-Schur functions. Zbl 1232.05228
Bandlow, Jason; Schilling, Anne; Zabrocki, Mike
5
2011
Expressions for Catalan Kronecker products. Zbl 1230.05275
Brown, Andrew A. H.; Van Willigenburg, Stephanie; Zabrocki, Mike
9
2010
A filtration of \((q,t)\)-Catalan numbers. Zbl 1192.05173
Bergeron, N.; Descouens, F.; Zabrocki, M.
2
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
Hilbert series of invariants, constant terms and Kostka-Foulkes polynomials. Zbl 1228.05289
Garsia, A.; Wallach, N.; Xin, G.; Zabrocki, M.
3
2009
Invariants and coinvariants of the symmetric group in noncommuting variables. Zbl 1180.16025
Bergeron, Nantel; Reutenauer, Christophe; Rosas, Mercedes; Zabrocki, Mike
27
2008
Analytic aspects of the shuffle product. Zbl 1259.68111
Mishna, Marni; Zabrocki, Mike
2
2008
A generalization of \((q,t)\)-Catalan and nabla operators. Zbl 1393.05265
Bergeron, N.; Descouens, F.; Zabrocki, M.
1
2008
On the Stanley–Wilf limit of 4231-avoiding permutations and a conjecture of Arratia. Zbl 1089.05002
Albert, M. H.; Elder, M.; Rechnitzer, A.; Westcott, P.; Zabrocki, M.
15
2006
Deformed universal characters for classical and affine algebras. Zbl 1122.17018
Shimozono, Mark; Zabrocki, Mike
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
A \(q\)-analog of Schur’s \(Q\)-functions. Zbl 1076.05523
Tudose, Geanina; Zabrocki, Michael
5
2003
\(q\)-analogs of symmetric function operators. Zbl 1020.05071
Zabrocki, Michael
2
2002
Hall-Littlewood vertex operators and generalized Kostka polynomials. Zbl 0997.17017
Shimozono, Mark; Zabrocki, Mike
15
2001
Vertex operators for standard bases of the symmetric functions. Zbl 1160.05341
Zabrocki, Mike
2
2001
Polynomiality of the \(q,t\)-Kostka revisited. Zbl 0969.05063
Garsia, A. M.; Zabrocki, M.
1
2001
Ribbon operators and Hall-Littlewood symmetric functions. Zbl 0984.05075
Zabrocki, Mike
4
2000
Positivity for special cases of \((q,t)\)-Kostka coefficients and standard tableaux statistics. Zbl 0931.05086
Zabrocki, Mike
7
1999
A Macdonald vertex operator and standard tableaux statistics for the two-column \((q,t)\)-Kosta coefficients. Zbl 0906.05078
Zabrocki, Mike
7
1998
all top 5

Cited by 297 Authors

24 Zabrocki, Mike
15 Bergeron, Nantel
11 Novelli, Jean-Christophe
11 Thibon, Jean-Yves
10 Thiem, Nathaniel
8 Garsia, Adriano M.
8 Lecouvey, Cédric
8 Morse, Jennifer
7 D’Adderio, Michele
7 Loehr, Nicholas A.
7 Orellana, Rosa C.
7 Panov, Aleksandr Nikolaevich
7 Van Willigenburg, Stephanie J.
6 Benedetti, Carolina
6 Jing, Naihuan
6 Mason, Sarah K.
6 Tewari, Vasu V.
5 Bessenrodt, Christine
5 Blasiak, Jonah
5 Haglund, James
5 Iraci, Alessandro
5 Lapointe, Luc
5 Saliola, Franco V.
5 Shimozono, Mark
5 Wallach, Nolan Russell
4 Alexandersson, Per
4 Aliniaeifard, Farid
4 Bowman, Christopher David
4 Huang, Jia
4 Marberg, Eric
4 Mellit, Anton S.
4 Searles, Dominic
4 Vanden Wyngaerd, Anna
4 Wilson, Andrew Timothy
4 Xin, Guoce
3 André, Carlos Alberto Martins
3 Aval, Jean-Christophe
3 Berg, Chris
3 Bevan, David I.
3 Carlsson, Erik
3 Diaconis, Persi Warren
3 Foissy, Loïc
3 Hendrickson, Anders O. F.
3 Hicks, Angela Sue
3 Lee, Seungjin
3 Niese, Elizabeth M.
3 Panova, Greta
3 Rhoades, Brendon
3 Schilling, Anne
3 Sergel, Emily
3 Warrington, Gregory S.
3 Williams, Lauren K.
2 Aguiar, Marcelo
2 Andrews, Scott
2 Assaf, Sami H.
2 Ballantine, Cristina M.
2 Bergeron, François
2 Bóna, Miklós
2 Brignall, Robert
2 Cai, Tommy Wuxing
2 Campbell, John Maxwell
2 Chen, Zhi
2 Colmenarejo, Laura
2 Corteel, Sylvie
2 Daugherty, Zajj
2 De Stavola, Dario
2 De Visscher, Maud
2 Enyang, John
2 Fauvet, Frédéric
2 Fındık, Şehmus
2 Garcia, Stephan Ramon
2 Grinberg, Darij
2 Halverson, Thomas
2 Hohlweg, Christophe
2 Karaali, Gizem
2 König, Sebastian
2 Lascoux, Alain
2 Lauve, Aaron
2 Li, Huilan
2 Li, Yunnan
2 Manchon, Dominique
2 Mandelshtam, Olya
2 Manivel, Laurent
2 Narayanan, Sridhar P.
2 Okado, Masato
2 Pak, Igor
2 Pantone, Jay
2 Pascoe, James Eldred
2 Paul, Digjoy
2 Prasad, Amritanshu
2 Price, Andrew Elvey
2 Pun, Anna Ying
2 Roberts, Austin
2 Romero, Marino
2 Rosas, Mercedes Helena
2 Ryba, Christopher
2 Sagan, Bruce Eli
2 Schocker, Manfred
2 Srivastava, Shraddha
2 Summers, Daniel S.
...and 197 more Authors
all top 5

Cited in 55 Serials

36 Journal of Combinatorial Theory. Series A
24 Advances in Mathematics
22 Journal of Algebraic Combinatorics
20 Séminaire Lotharingien de Combinatoire
18 Journal of Algebra
18 The Electronic Journal of Combinatorics
16 Algebraic Combinatorics
13 Annals of Combinatorics
12 Advances in Applied Mathematics
7 European Journal of Combinatorics
6 Discrete Mathematics
6 Transactions of the American Mathematical Society
5 Proceedings of the American Mathematical Society
4 Mathematische Zeitschrift
4 International Journal of Algebra and Computation
4 Selecta Mathematica. New Series
3 Communications in Algebra
3 Journal of the American Mathematical Society
3 The Ramanujan Journal
2 Rocky Mountain Journal of Mathematics
2 Duke Mathematical Journal
2 Memoirs of the American Mathematical Society
2 Theoretical Computer Science
2 SIAM Journal on Discrete Mathematics
2 Combinatorics, Probability and Computing
2 Algebras and Representation Theory
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Theoretical and Mathematical Physics
1 Annales de l’Institut Fourier
1 Journal of the London Mathematical Society. Second Series
1 Journal of Pure and Applied Algebra
1 Mathematische Annalen
1 Combinatorica
1 Acta Applicandae Mathematicae
1 Order
1 Graphs and Combinatorics
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 New Zealand Journal of Mathematics
1 Vestnik St. Petersburg University. Mathematics
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Annales Mathématiques Blaise Pascal
1 Representation Theory
1 Journal of Group Theory
1 Journal of Algebra and its Applications
1 Mediterranean Journal of Mathematics
1 Chebyshevskiĭ Sbornik
1 International Electronic Journal of Algebra (IEJA)
1 Japanese Journal of Mathematics. 3rd Series
1 Research in the Mathematical Sciences
1 Journal of Combinatorial Algebra

Citations by Year