Emotional intelligence is the ability to understand and manage your own emotions, and those of the people around you. People with a high degree of emotional intelligence know what they're feeling, what their emotions mean, and how these emotions can affect other people.

Leadership can mean different things to different people, but on a large scale, leadership involves creating and articulating a vision and inspiring others to want to work toward that vision. You can have leadership without having a team, and you can inspire others without being their manager. 

Why are these skills important in the workplace?

Emotional Intelligence is important in order to empathize with your coworkers & stakeholders, to know how to manage your emotions and to adapt your communication style based on the emotional state of others. 

Having leadership at work means that you are accountable, you can communicate your vision and your ideas, and you can inspire others to work for a bigger scope.