AbstractWe explore the well-known relationship between the representations of the symmetric group on the homology of the partition lattice and on the ln component of the free Lie algebra. We give two new combinatorial proofs of the sign twisted isomorphism between the two modules. One involves a bijection between bases and the other involves a bijection between generating sets which takes relations to relations
It follows from the work of Hanlon (Ha1), Stanley (St1), Witt (Wi), and Brandt (Br) that the cohomol...
AbstractDefine Lien to be the subspace of the free Lie algebra Lie[1 ··· n] (over the complex number...
The aim is to investigate the structure of the free Lie algebra and free algebras of the varieties a...
AbstractWe give a homotopy equivalence to explain an Sn−1-module isomorphism which occurs frequently...
AbstractWe extend a well-known relationship between the representation of the symmetric group on the...
AbstractWe extend a well-known relationship between the representation of the symmetric group on the...
AbstractThe Free Lie Algebra over an alphabet A, denoted here by LIE[A], is the smallest subspace of...
Abstract. It is a classical result that the multilinear component of the free Lie algebra is isomorp...
AbstractThe free Lie algebra Lie[A] over the complex held, on an alphabet A, is the smallest subspac...
Abstract. The authors compute the mod p homology of groups of the form n1 nk with coecients...
The free Lie algebra Lie[A] over the complex held, on an alphabet A, is the smallest subspace of the...
During the past decade numerous fruitful contributions to the theory of the free Lie algebra have be...
AbstractDefine Lien to be the subspace of the free Lie algebra Lie[1 ··· n] (over the complex number...
Abstract. The observation that a graph of rank n can be assembled from graphs of smaller rank k with...
this paper is to illustrate the use of a well-known technique of algebraic topology, the Hopf trace ...
It follows from the work of Hanlon (Ha1), Stanley (St1), Witt (Wi), and Brandt (Br) that the cohomol...
AbstractDefine Lien to be the subspace of the free Lie algebra Lie[1 ··· n] (over the complex number...
The aim is to investigate the structure of the free Lie algebra and free algebras of the varieties a...
AbstractWe give a homotopy equivalence to explain an Sn−1-module isomorphism which occurs frequently...
AbstractWe extend a well-known relationship between the representation of the symmetric group on the...
AbstractWe extend a well-known relationship between the representation of the symmetric group on the...
AbstractThe Free Lie Algebra over an alphabet A, denoted here by LIE[A], is the smallest subspace of...
Abstract. It is a classical result that the multilinear component of the free Lie algebra is isomorp...
AbstractThe free Lie algebra Lie[A] over the complex held, on an alphabet A, is the smallest subspac...
Abstract. The authors compute the mod p homology of groups of the form n1 nk with coecients...
The free Lie algebra Lie[A] over the complex held, on an alphabet A, is the smallest subspace of the...
During the past decade numerous fruitful contributions to the theory of the free Lie algebra have be...
AbstractDefine Lien to be the subspace of the free Lie algebra Lie[1 ··· n] (over the complex number...
Abstract. The observation that a graph of rank n can be assembled from graphs of smaller rank k with...
this paper is to illustrate the use of a well-known technique of algebraic topology, the Hopf trace ...
It follows from the work of Hanlon (Ha1), Stanley (St1), Witt (Wi), and Brandt (Br) that the cohomol...
AbstractDefine Lien to be the subspace of the free Lie algebra Lie[1 ··· n] (over the complex number...
The aim is to investigate the structure of the free Lie algebra and free algebras of the varieties a...
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