When the Batsheva Dance Company takes the stage at the Brooklyn Academy of Music this week, it will look very much like the company that audiences have come to love: a bit mysterious, a bit cheeky — qualities associated with its longtime director and choreographer Ohad Naharin.

The company, based in Tel Aviv, will perform Mr. Naharin’s latest work, “Venezuela,” which contains familiar ingredients like ferocious solos, kaleidoscopic ensemble scenes and moments of theatrical audaciousness. Here, it’s all hung on a bold conceptual structure: It’s performed twice. After 40 minutes, the choreography repeats, although with different music, different lighting and different dancers.

And something else will be different on this visit: Mr. Naharin is no longer in charge of Batsheva. Last September, after nearly 30 years as the company’s artistic director, he handed the reins to Gili Navot, a former dancer with the company, while he assumed the position of house choreographer. In that role, Mr. Naharin will continue to create new work, while Ms. Navot will be responsible for the daily decision-making and long-term direction of the company.

Is this the beginning of a new era or just an administrative reorganization? “Sometimes it feels like, wow, it’s a huge change,” Ms. Navot said in a phone interview from Tel Aviv. “And I feel that we’re different, very different, Ohad and I.” On the other hand, she said: “Ohad’s here. He’s creating. He’s very vital and continuing to invent himself every day. So, it feels like both at the same time.”