I think pendants will ruin the nice, clean look of the aesthetic and seem like an afterthought. Do you feel like you need more lighting?

Where? It appears you will have stools across the front elevation and to the right looking at your over hang. If you put a line of pendants on one eleveation you have to do both and that would get to be a lot of hanging things. Once you get the stools in, there will a lot to see.

Agree that pendants around that hood would not look right.

Thanks everyone for the response! Yeah I don't need more lighting. We have enough of ceiling lights, under cabinet lights and planning to put a couple of floor lamps in the adjoining dining and living rooms. Was just wondering if I should put some lights over the island from design perspective.

Personally NOT a fan of can lights, but right here - since the lighting you have is sufficient for your workspaces - adding pendants to this just won't work from a design perspective. Stick with what you have.

Maybe two pendants on the larger area on the right with downlighting for the seating/work area there. Parallel to the right edge. The task light comes in handy in our kitchen and provides a bright light and is on a dimmer for more soothing light.

if you pick the correct size/style, I'd like it. the above choice from trace emphasizing the light in a specific area for the seated people makes a nice final complement and the size of the island allows this as a welcome detail..... a smaller island .....maybe not so great .....but with yours I think its a good idea but care w the actual piece . its a nice hood but allow the visuals to have something else for interest in this generally large open spot. here's a few picks: simplified style .but enough to enhance things ....I like her cylinder shape , above, also.

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you cant call a row of dark blue cabinet doors [hardware barely noticeble ]...white backsplash white counters / and a stainless hood anywhere near "visual clutter" ..... probably one of the MOST spare on detail kitchens .

No pendants, not with the hood fan there -- too much visual clutter.

i agree with herbflavor: the right pendants will look fine...

i would use: downlight, stainless or black finish to match your fixtures, on a dimmer, streamlined - not 'gaudy' and i think they will look fab!