symmetric variety

{{Short description|Mathematical concept}}

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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

{{Citation | last1=Ash | first1=A. | last2=Mumford | first2=David | author2-link=David Mumford | last3=Rapoport | first3=M. | last4=Tai | first4=Y. | title=Smooth compactification of locally symmetric varieties | publisher=Math. Sci. Press | location=Brookline, Mass. | isbn=978-0-521-73955-9 |mr=0457437 | year=1975 | url=http://www.uni-due.de/~mat903/sem/ss08/ash_mumford_rapoport_tai_Compactifications.pdf}}

Category:Algebraic geometry

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