**An Introduction to Symmetric Spaces**

by Ulrika Magnea

**Publisher**: arXiv 2002**Number of pages**: 66

**Description**:

Recently, the theory of symmetric spaces has come to play an increased role in the physics of integrable systems and in quantum transport problems. In addition, it provides a classification of random matrix theories. In this paper we give a self--contained introduction to symmetric spaces and their main characteristics. We take an algebraic approach; therefore it is not necessary to know almost anything about differential geometry to be able to follow the outline.

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