A hyperoctahedral analogue of the free Lie algebra
From MaRDI portal
Publication:1180554
DOI10.1016/0097-3165(91)90061-KzbMath0759.17003WikidataQ115363915 ScholiaQ115363915MaRDI QIDQ1180554
Publication date: 27 June 1992
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
free Lie algebraOrlik-Solomon algebrahyperoctahedral grouphyperoctahedral hyperplane complements lattice
Trees (05C05) Combinatorial aspects of block designs (05B05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Identities, free Lie (super)algebras (17B01) Free lattices, projective lattices, word problems (06B25)
Related Items
On the free Lie algebra with multiple brackets, Eigenspace arrangements of reflection groups, Hyperoctahedral decomposition of Hochschild homology, Eulerian representations for real reflection groups, The Orlik-Solomon algebra on the partition lattice and the free Lie algebra, A decomposition of the descent algebra of the hyperoctahedral group. I, II, Orthogonal idempotents in the descent algebra of \(B_ n\) and applications, Applications of the Brauer complex: card shuffling, permutation statistics, and dynamical systems, Internal zonotopal algebras and the monomial reflection groups \(G(m,1,n)\), The \(h,k\)-equal partition lattice is EL-shellable when \(h \geq k\), Eulerian representations for real reflection groups, Unnamed Item, A decomposition of Solomon's descent algebra, Cohomology of Dowling lattices and Lie (super)algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A decomposition of Solomon's descent algebra
- The Orlik-Solomon algebra on the partition lattice and the free Lie algebra
- On the action of the symmetric group on the free Lie algebra and the partition lattice
- On the action of the symmetric group on the cohomology of the complement of its reflecting hyperplanes
- Combinatorics and topology of complements of hyperplanes
- Some aspects of groups acting on finite posets
- Broken circuit complexes: Factorizations and generalizations
- Lyndon Words, Free Algebras and Shuffles
- On the Poincaré-Birkhoff-Witt theorem
- Free differential calculus. IV: The quotient groups of the lower central series
