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Solomon's Descent Algebra Revisited

✍ Scribed by Atkinson, M. D.

Book ID
120092975
Publisher
Oxford University Press
Year
1992
Tongue
English
Weight
159 KB
Volume
24
Category
Article
ISSN
0024-6093

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πŸ“œ SIMILAR VOLUMES

Around Solomon’s Descent Algebras
Around Solomon’s Descent Algebras
✍ C. BonnafΓ©; G. Pfeiffer πŸ“‚ Article πŸ“… 2008 πŸ› Springer Netherlands 🌐 English βš– 647 KB
Homomorphisms between Solomon's descent
Homomorphisms between Solomon's descent algebras
✍ F. Bergeron; A. Garsia; C. Reutenauer πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 582 KB

In a previous paper (see A. Garsia and C. Reutenauer (Adt,. in Math. 77, 1989, 189-262)). we have studied algebraic properties of the descent algebras X,,, and shown how these are related to the canonical decomposition of the free Lie algebra corresponding to a version of the PoincarE-Birkhoff-Witt

A generating set of Solomon's descent al
A generating set of Solomon's descent algebra
✍ Manfred Schocker πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 90 KB

Solomon's descent algebra is generated by sums of descent classes corresponding to certain hook shapes. This particularly implies that the ring of class functions of any finite symmetric group S n is generated by the irreducible characters corresponding to certain hook partitions of n. As another co