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papers

Publications (34)

math.CO2013

A lift of the Schur and Hall-Littlewood bases to non-commutative symmetric functions

Chris Berg, Nantel Bergeron, Franco Saliola +2

math.CO2007

On the S_n-module structure of the noncommutative harmonics

Emmanuel Briand, Mercedes Rosas, Mike Zabrocki

math.CO2013

A three shuffle case of the compositional parking function conjecture

Adriano M. Garsia, Guoce Xin, Mike Zabrocki

math.CO2005

Invariants and Coinvariants of the Symmetric Group in Noncommuting Variables

Nantel Bergeron, Christophe Reutenauer, Mercedes Rosas +1

math.CO2012

Expansions of $k$-Schur functions in the affine nilCoxeter algebra

Chris Berg, Nantel Bergeron, Steven Pon +1

math.QA2002

q-Analogs of symmetric function operators

Mike Zabrocki

math.CO2016

Multiplicative structures of the immaculate basis of non-commutative symmetric functions

Chris Berg, Nantel Bergeron, Franco Saliola +2

math.CO2011

The Murnaghan-Nakayama rule for k-Schur functions

Jason Bandlow, Anne Schilling, Mike Zabrocki

math.CO2004

Deformed universal characters for classical and affine algebras

Mark Shimozono, Mike Zabrocki

math.CO2014

The Pieri rule for dual immaculate quasi-symmetric functions

Nantel Bergeron, Juana Sánchez-Ortega, Mike Zabrocki

math.CO2013

The immaculate basis of the non-commutative symmetric functions

Chris Berg, Nantel Bergeron, Franco Saliola +2

math.CO2013

$k$-Schur functions and affine Schubert calculus

Thomas Lam, Luc Lapointe, Jennifer Morse +3

math.CO2003

A bijective proof of an unusual symmetric group generating function

Mike Zabrocki

math.CO2016

Symmetric group characters as symmetric functions (extended abstract)

Rosa Orellana, Mike Zabrocki

math.CO2013

Indecomposable modules for the dual immaculate basis of quasi-symmetric functions

Chris Berg, Nantel Bergeron, Franco Saliola +2

math.CO2010

Words and polynomial invariants of finite groups in non-commutative variables

Anouk Bergeron-Brlek, Christophe Hohlweg, Mike Zabrocki

math.CO2001

q and q,t-Analogs of Non-commutative Symmetric Functions

Nantel Bergeron, Mike Zabrocki

math.CO2008

Expressions for Catalan Kronecker Products

Andrew Brown, Stephanie van Willigenburg, Mike Zabrocki

math.CO2012

A new `dinv' arising from the two part case of the Shuffle Conjecture

Adrian Duane, Adriano M. Garsia, Mike Zabrocki

math.CO2011

Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras

Marcelo Aguiar, Carlos Andre, Carolina Benedetti +25

math.CO2011

A compositional shuffle conjecture specifying touch points of the Dyck path

James Haglund, Jennifer Morse, Mike Zabrocki

math.CO2000

Some remarks on the characters of the general Lie superalgebra

R. C. Orellana, Mike Zabrocki

math.CO1999

Vertex operators for standard bases of the symmetric functions

Mike Zabrocki

math.QA2000

Polynomiality of the q,t-Kostka Revisited

A. M. Garsia, Mike Zabrocki

math.CO2017

Products of characters of the symmetric group

Rosa Orellana, Mike Zabrocki

math.CO2005

Grothendieck bialgebras, Partition lattices and symmetric functions in noncommutative variables

Nantel Bergeron, Christophe Hohlweg, Mercedes Rosas +1

math.CO1999

Positivity for special cases of $(q,t)$-Kostka coefficients and standard tableaux statistics

Mike Zabrocki

math.QA2000

Ribbon Operators and Hall-Littlewood Symmetric Functions

Mike Zabrocki

cs.IT2008

Analytic aspects of the shuffle product

Marni Mishna, Mike Zabrocki

math.CO2014

Symmetries on the lattice of $k$-bounded partitions

Chris Berg, Nathan Williams, Mike Zabrocki

math.CO2012

Expansion of $k$-Schur functions for maximal $k$-rectangles within the affine nilCoxeter algebra

Chris Berg, Nantel Bergeron, Hugh Thomas +1

math.CO2006

Posets related to the connectivity set of Coxeter groups

Nantel Bergeron, Christophe Hohlweg, Mike Zabrocki

math.CO2005

The Hopf algebras of symmetric functions and quasisymmetric functions in non-commutative variables are free and cofree

Nantel Bergeron, Mike Zabrocki

math.QA2000

Hall-Littlewood vertex operators and generalized Kostka polynomials

Mark Shimozono, Mike Zabrocki