What does "Coideal Subalgebras" mean?

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Coideal subalgebras are a concept from the field of mathematics, specifically in algebra and representation theory. They arise in the study of algebras, which are structures that combine numbers and operations.

In simpler terms, you can think of a coideal subalgebra as a special kind of set or collection within a larger algebra that has certain rules. These rules help maintain a consistent structure that can be useful for various mathematical problems.

One important aspect of coideal subalgebras is their role in understanding symmetries and interactions in different mathematical and physical contexts. They help researchers analyze how different components of a system relate to one another, especially in areas like quantum mechanics and string theory.

Overall, coideal subalgebras act as building blocks that can help scientists and mathematicians study complex systems and find solutions to challenging problems in their fields.