Event calendar file
19-25 June 2011
Bled, Slovenia
Europe/Ljubljana timezone
Dual polar graphs and the quantum algebra $U_q(sl_2)$
Presented by Mr. Chalermpong WORAWANNOTAI
Type: Oral presentation
Track: Representations of Graphs
Content
Let $\Gamma = (X,R)$ denote a dual polar graph.
Let $A$ denote the adjacency matrix of $\Gamma$.
Fix a vertex $x \in X$. Let $A^* = A^*(x)$ denote the dual adjacency matrix of $\Gamma$ with respect to $x$.
Let $T = T(x)$ denote the subalgebra of $\mbox{Mat}_X(\C)$ generated by $A,A^*$.
Let $V = \C^X$;
view $V$ as a left $T$-module.
In this talk we discuss certain nice maps in $T$ and show how they naturally give a $U_q(\mathfrak{sl}_2)$-module structure on $V$.
Place
Location: Bled, Slovenia
Address: Best Western Hotel Kompas Bled
