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Browsing by Author "Zabrocki, Mike"
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Article
Grothendieck bialgebras, Partition lattices, and symmetric functions in noncommutative variables
Bergeron, Nantel; Hohlweg, Christophe; Rosas Celis, Mercedes Helena; Zabrocki, Mike (American Mathematical Society, 2006)We show that the Grothendieck bialgebra of the semi-tower of partition lattice algebras is isomorphic to the graded dual ...
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Article
Invariants and coinvariants of the symmetric group in noncommuting variables
Bergeron, Nantel; Reutenauer, Christophe; Rosas Celis, Mercedes Helena; Zabrocki, Mike (University of Toronto Press, 2008)We introduce a natural Hopf algebra structure on the space of noncommutative symmetric functions. The bases for this algebra ...
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Article
On the Sn-module structure of the noncommutative harmonics
Briand, Emmanuel; Rosas Celis, Mercedes Helena; Zabrocki, Mike (Elsevier, 2008-08)Using the a noncommutative version of Chevalley’s theorem due to Bergeron, Reutenauer, Rosas, and Zabrocki we compute the ...
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Presentation
Tensor algebras, words, and invariants of polynomials in non-commutative variables
Zabrocki, Mike (2009-11)Consider a vector space V for which we specify a basis, then the tensor algebra T(V) corresponds to the non-commutative ...