# Symmetric variety

In algebraic geometry, a **symmetric variety** is an algebraic analogue of a symmetric space in differential geometry, given by a quotient *G*/*H* of a reductive algebraic group *G* by the subgroup *H* fixed by some involution of *G*.

## See also

## References

- Ash, A.; Mumford, David; Rapoport, M.; Tai, Y. (1975),
*Smooth compactification of locally symmetric varieties*(PDF), Brookline, Mass.: Math. Sci. Press, ISBN 978-0-521-73955-9, MR 0457437

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