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Invariant theory
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==References== {{Reflist}} *{{Citation | last1=Dieudonné | first1=Jean A. |author1-link = Jean A. Dieudonné| last2=Carrell | first2=James B. | title=Invariant theory, old and new | doi=10.1016/0001-8708(70)90015-0 | year=1970 | journal=[[Advances in Mathematics]] | issn=0001-8708 | volume=4 | issue=1 | pages=1–80 | mr=0255525| doi-access=free }} Reprinted as {{Citation | last1=Dieudonné | first1=Jean A. | last2=Carrell | first2=James B. | title=Invariant theory, old and new | publisher=[[Academic Press]] | location=Boston, MA | isbn=978-0-12-215540-6 | year=1971 | mr=0279102 }} *{{Citation | last1=Dolgachev | first1=Igor | title=Lectures on invariant theory | publisher=[[Cambridge University Press]] | series=London Mathematical Society Lecture Note Series | isbn=978-0-521-52548-0 | doi=10.1017/CBO9780511615436 | year=2003 | volume=296 | mr=2004511}} *{{Citation | last1=Grace|first1= J. H.|last2= Young|first2= Alfred | title=The algebra of invariants | location=Cambridge | publisher=Cambridge University Press | year=1903 |url=https://archive.org/details/algebraofinvaria00graciala}} *{{Citation | author=Grosshans, Frank D. | author-link = Frank Grosshans | title=Algebraic homogeneous spaces and invariant theory | location=New York | publisher=Springer | year=1997 | isbn=3-540-63628-5}} *{{Citation | last1=Hilbert | first1=David | author1-link=David Hilbert | title=Ueber die Theorie der algebraischen Formen | doi=10.1007/BF01208503 | year=1890 | journal=[[Mathematische Annalen]] | issn=0025-5831 | volume=36 | issue=4 | pages=473–534 | url=http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN235181684_0036&DMDID=DMDLOG_0045}} *{{citation|last=Hilbert|first=D.|title=Über die vollen Invariantensysteme (On Full Invariant Systems)|journal=Math. Annalen|volume=42|issue=3|page=313|year=1893|doi=10.1007/BF01444162 | url=http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN235181684_0042&DMDID=DMDLOG_0034}} *{{Citation | last1=Kung | first1=Joseph P. S. | last2=Rota | first2=Gian-Carlo | author2-link=Gian-Carlo Rota | title=The invariant theory of binary forms | url=https://www.ams.org/journals/bull/1984-10-01/S0273-0979-1984-15188-7 | doi=10.1090/S0273-0979-1984-15188-7 | year=1984 | journal=Bulletin of the American Mathematical Society |series=New Series | issn=0002-9904 | volume=10 | issue=1 | pages=27–85 | mr=722856| doi-access=free }} *{{Citation |author1=Neusel, Mara D. |author1-link=Mara Neusel |author2=Smith, Larry | title=Invariant Theory of Finite Groups | location=Providence, RI | publisher=American Mathematical Society | year=2002 | isbn=0-8218-2916-5}} A recent resource for learning about modular invariants of finite groups. *{{Citation | author=Olver, Peter J. |author-link=Peter J. Olver | title=Classical invariant theory | location=Cambridge | publisher=Cambridge University Press | year=1999 | isbn=0-521-55821-2}} An undergraduate level introduction to the classical theory of invariants of binary forms, including the [[Omega process]] starting at page 87. *{{springer|id=i/i052350|title=Invariants, theory of|first=V.L. |last=Popov}} *{{Citation | author=Springer, T. A. | title=Invariant Theory | location=New York | publisher=Springer | year=1977 | isbn=0-387-08242-5}} An older but still useful survey. *{{Citation | author=Sturmfels, Bernd | author-link=Bernd Sturmfels | title=Algorithms in Invariant Theory | location=New York | publisher=Springer | year=1993 | isbn=0-387-82445-6}} A beautiful introduction to the theory of invariants of finite groups and techniques for computing them using Gröbner bases. *{{Citation | last1=Weyl | first1=Hermann | author1-link=Hermann Weyl | title=The Classical Groups. Their Invariants and Representations | url=https://books.google.com/books?isbn=0691057567 | publisher=[[Princeton University Press]] | isbn=978-0-691-05756-9 | year=1939 | mr=0000255}} *{{Citation | last1=Weyl | first1=Hermann | author1-link=Hermann Weyl | title=Invariants | url=http://projecteuclid.org/euclid.dmj/1077491405 | year=1939b | journal=[[Duke Mathematical Journal]] | issn=0012-7094 | volume=5 | pages=489–502 | mr=0000030 | doi=10.1215/S0012-7094-39-00540-5 | issue=3}}
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