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Twisted descent algebras and the Solomon–Tits algebra

✍ Scribed by Frédéric Patras; Manfred Schocker

Book ID
108051431
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
299 KB
Volume
199
Category
Article
ISSN
0001-8708

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📜 SIMILAR VOLUMES

Homomorphisms between Solomon's descent
Homomorphisms between Solomon's descent algebras
✍ F. Bergeron; A. Garsia; C. Reutenauer 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 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 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 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