Conveners
Representation theory
- Darija Brajkovic Zoric (School of Applied Mathematics and Informatics, Josip Juraj Strossmayer University of Osijek)
There is the conjecture stating that the Aubert involution preserves unitarity. After finding the unitary dual of $p$-adic group $SO(7)$ with support on minimal parabolic subgroup, we found it intriguing to look at all the Aubert duals of all irreducible unitarizable subquotients that form that unitary dual. In doing that we confirmed the aforementioned conjecture for this case. This work is...
We consider composition series of representations of a classical group over p-adic field, induced from two irreducible representations of GL, attached to a certain class of segments, and a cuspidal representation of a smaller classical group, where cuspidal reducibility is one half.
We start with the basic notions of a hyperplane arrangement on $\mathbb{R}^n$ and then explain the braid arrangement on $\mathbb{R}^n$, which consists of $\frac{n(n-1)}{2}$ hyperplanes $H_{ij}=\{(x_1,x_2,\dots, x_n)\in \mathbb{R}^n\mid x_i=x_j\}$, $1\le i < j\le n$. Each region $P_\sigma$ of this arrangement is in one-to-one correspondence with a permutation $\sigma$ as follows...
We present the exact realization of the extended Snyder model.
Using similarity transformations we construct realizations of the original Snyder and the extended Snyder models.
Finally, we present the exact new realization of the $\kappa$–deformed extended Snyder model.
