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Haboush's theorem
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==References== *{{citation|mr=0444786 |last=Demazure|first= Michel|author-link=Michel Demazure |chapter=Démonstration de la conjecture de Mumford (d'après W. Haboush)|title= Séminaire Bourbaki (1974/1975: Exposés Nos. 453--470)|pages= 138–144|series= Lecture Notes in Mathematics|volume= 514|publisher= Springer|place= Berlin|year= 1976|doi=10.1007/BFb0080063|isbn=978-3-540-07686-5|url=http://www.numdam.org/item/SB_1974-1975__17__138_0/}} *{{citation|author-link=William Haboush|first=W. J. |last=Haboush|title=Reductive groups are geometrically reductive|journal=Annals of Mathematics |volume=102|year=1975|pages=67–83|doi=10.2307/1970974|issue=1|jstor=1970974}} *Mumford, D.; Fogarty, J.; Kirwan, F. ''Geometric invariant theory''. Third edition. [[Ergebnisse der Mathematik und ihrer Grenzgebiete]] (2) (Results in Mathematics and Related Areas (2)), 34. Springer-Verlag, Berlin, 1994. xiv+292 pp. {{MathSciNet|id=1304906}} {{ISBN|3-540-56963-4}} *{{Citation | last1=Nagata | first1=Masayoshi | author1-link=Masayoshi Nagata | title=Invariants of a group in an affine ring | url=http://projecteuclid.org/euclid.kjm/1250524787 | year=1963 | journal=Journal of Mathematics of Kyoto University | issn=0023-608X | volume=3 | issue=3 | pages=369–377 | mr=0179268 | doi=10.1215/kjm/1250524787| doi-access=free }} *{{cite journal | last1 = Nagata | first1 = M. | last2 = Miyata | first2 = T. | year = 1964 | title = Note on semi-reductive groups | journal = Journal of Mathematics of Kyoto University | volume = 3 | issue = 3| pages = 379–382 | doi=10.1215/kjm/1250524788| doi-access = free }} *{{springer|id=M/m065570|first=V.L. |last=Popov|authorlink=Vladimir L. Popov|title=Mumford hypothesis}} *{{cite journal | last1 = Seshadri | first1 = C.S. | year = 1977 | title = Geometric reductivity over arbitrary base | journal = [[Advances in Mathematics]] | volume = 26 | issue = 3| pages = 225–274 | doi=10.1016/0001-8708(77)90041-x| doi-access = free }} [[Category:Representation theory of algebraic groups]] [[Category:Invariant theory]] [[Category:Theorems in representation theory]] [[Category:Conjectures that have been proved]]
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