Symmetrization of brace algebra

Daily, Marilyn; Lada, Tom

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Clifford and Grassmann like algebra

Kwaśniewski, A. K.

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Diagonal Temperley-Lieb invariants and harmonics.

Aval, J.-C., Bergeron, F., Bergeron, N. (2005)

Séminaire Lotharingien de Combinatoire [electronic only]

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Hopf algebras and dendriform structures arising from parking functions

Jean-Christophe Novelli, Jean-Yves Thibon (2007)

Fundamenta Mathematicae

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We introduce a graded Hopf algebra based on the set of parking functions (hence of dimension ${(n + 1)}^{n - 1}$ in degree n). This algebra can be embedded into a noncommutative polynomial algebra in infinitely many variables. We determine its structure, and show that it admits natural quotients and subalgebras whose graded components have dimensions respectively given by the Schröder numbers (plane trees), the Catalan numbers, and powers of 3. These smaller algebras are always bialgebras and belong to...

Distributive laws and Koszulness

Martin Markl (1996)

Annales de l'institut Fourier

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Distributive law is a way to compose two algebraic structures, say $𝒰$ and $𝒱$ , into a more complex algebraic structure $𝒲$ . The aim of this paper is to understand distributive laws in terms of operads. The central result says that if the operads corresponding respectively to $𝒰$ and $𝒱$ are Koszul, then the operad corresponding to $𝒲$ is Koszul as well. An application to the cohomology of configuration spaces is given.

Some zero-dimensional generic singularities ; finite algebras having small tangent space

A. Iarrobino, J. Emsalem (1978)

Compositio Mathematica

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Ext-algebras and derived equivalences

Dag Madsen (2006)

Colloquium Mathematicae

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Using derived categories, we develop an alternative approach to defining Koszulness for positively graded algebras where the degree zero part is not necessarily semisimple.

$ℤ_{k + l} \times ℤ_{2}$ -graded polynomial identities for $M_{k, l} (E) \otimes E$

Onofrio Mario Di Vincenzo, Vincenzo Nardozza (2002)

Rendiconti del Seminario Matematico della Università di Padova

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Displaying similar documents to “Symmetrization of brace algebra”

Clifford and Grassmann like algebra

Diagonal Temperley-Lieb invariants and harmonics.

Hopf algebras and dendriform structures arising from parking functions

Distributive laws and Koszulness

Some zero-dimensional generic singularities ; finite algebras having small tangent space

Ext-algebras and derived equivalences

ℤ k + l × ℤ 2 -graded polynomial identities for M k , l ( E ) ⊗ E

$ℤ_{k + l} \times ℤ_{2}$ -graded polynomial identities for $M_{k, l} (E) \otimes E$