On Brlek–Reutenauer conjecture
✍ Scribed by L’. Balková; E. Pelantová; Š. Starosta
- Book ID
- 113927471
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 234 KB
- Volume
- 412
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
C. Reutenauer (Adv. in Math. 110 (1995), 234 246) has defined a new class of symmetric functions q \* indexed by partitions \*. He conjectures that for n 2, &q (n) is the sum of Schur symmetric functions. This paper provides a proof of his conjecture.
We present previously unpublished elementary proofs by Dekker and Ottens (1991) and Boyce (private communication) of a special case of the Dinitz conjecture. We prove a special case of a related basis conjecture by Rota, and give a reformulation of Rota's conjecture using the Nullstellensatz. Finall