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On the Quiver Presentation of the Descent Algebra of the Symmetric Group
Descent algebra symmetric group quiver presentation
2012/6/15
We describe a presentation for the descent algebra of the symmetric group $\sym{n}$ as a quiver with relations. This presentation arises from a new construction of the descent algebra as a homomorphic...
The universal Askey-Wilson algebra and the equitable presentation of $U_q(\mathfrak{sl}_2)$
Askey-Wilson relations Leonard pair Casimir element
2011/9/14
Abstract: Let $F$ denote a field, and fix a nonzero $q \in F$ such that $q^4\not=1$. The universal Askey-Wilson algebra is the associative $F$-algebra $\Delta=\Delta_q$ defined by generators and relat...