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Mulmuley and Sohoni (GCT1 in SICOMP 2001, GCT2 in SICOMP 2008) proposed to view the permanent versus determinant problem as a specific orbit closure problem and to attack it by methods from geometric invariant and representation theory.
Yozô Matsushima, Espaces homogènes de Stein des groupes de Lie complexes. II , Nagoya Math. J. 18
1961
Earlier work this paper cites.
Volker Strassen, Vermeidung von Divisionen , J. Reine Angew. Math. 264
1973
Earlier work this paper cites.
James E. Humphreys, Linear algebraic groups , Springer-Verlag, New York, 1975, Graduate Texts in Mathematics, No. 21
1975
Earlier work this paper cites.
by same author, Linear algebraic groups , Springer-Verlag, New York, 1975, Graduate Texts in Mathematics, No. 21
1975
Earlier work this paper cites.
D.A. Gay, Characters of the Weyl group of S U ( n ) SU(n) on zero weight spaces and centralizers of permutation representations , Rocky Mountain J. Math. 6
1976
Earlier work this paper cites.
Robin Hartshorne, Algebraic geometry , Graduate Texts in Mathematics, no. 52, Springer, 1977
1977
Earlier work this paper cites.
Hans F. de Groote, On varieties of optimal algorithms for the computation of bilinear mappings. I. The isotropy group of a bilinear mapping , Theoret. Comput. Sci. 7
1978
Earlier work this paper cites.
George R. Kempf, Instability in invariant theory , Ann. of Math. (2) 108
1978
Earlier work this paper cites.
by same author, Rank and optimal computation of generic tensors , Linear Algebra Appl. 52/53
1983
Earlier work this paper cites.
Hanspeter Kraft, Geometrische Methoden in der Invariantentheorie , Aspects of Mathematics, D1, Friedr. Vieweg & Sohn, Braunschweig, 1984
1984
Earlier work this paper cites.
Thomas Lickteig, A note on border rank , Inform. Process. Lett. 18
1984
Earlier work this paper cites.
Michel Brion, Sur l’image de l’application moment , Séminaire d’algèbre Paul Dubreil et Marie-Paule Malliavin (Paris, 1986), Lecture Notes in Math., vol. 1296, Springer, Berlin, 1987, pp. 177–192
1987
Earlier work this paper cites.
by same author, Relative bilinear complexity and matrix multiplication , J. Reine Angew. Math. 375/376
1987
Earlier work this paper cites.
David Mumford, The red book of varieties and schemes , Lecture Notes in Math., no. 1358, 1988
1988
Cited alongside, same era.
Don Coppersmith and Shmuel Winograd, Matrix multiplication via arithmetic progressions , J. Symbolic Comput. 9
1990
Cited alongside, same era.
William Fulton and Joe Harris, Representation theory , Graduate Texts in Mathematics, vol. 129, Springer-Verlag, New York, 1991
1991
Cited alongside, same era.
Michael Clausen and Helga Meier, Extreme irreduzible Konstituenten in Tensordarstellungen symmetrischer Gruppen , Bayreuth. Math. Schr. (1993), no. 45, 1–17
1993
Cited alongside, same era.
Israel N. Herstein, Noncommutative rings , The Carus Math. Monographs, vol. 15, Math. Assoc. of America, 1994
1994
Cited alongside, same era.
Alexander Klyachko, Quantum marginal problem and representations of the symmetric group , arXiv:quant-ph/0409113, 2003
2003
Later among the works it cites.
Joseph M. Landsberg and L. Manivel, On the ideals of secant varieties of Segre varieties , Found. Comput. Math. 4
2004
Later among the works it cites.
2005
Later among the works it cites.
Matthias Christandl and Graeme Mitchison, The spectra of density operators and the Kronecker coefficients of the symmetric group , Comm. Math. Phys. 261
2006
Later among the works it cites.
Joseph M. Landsberg, The border rank of the multiplication of 2 × 2 2\times 2 matrices is seven , J. Amer. Math. Soc. 19
2006
Later among the works it cites.
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Jeffrey B. Remmel and Tamsen Whitehead, On the Kronecker product of Schur functions of two row shapes , Bull. Belg. Math. Soc. Simon Stevin 1
1994
Cited alongside, same era.
Peter Bürgisser, Michael Clausen, and M. Amin Shokrollahi, Algebraic complexity theory , Grundlehren der Mathematischen Wissenschaften, vol. 315, Springer-Verlag, Berlin, 1997
1997
Cited alongside, same era.
William Fulton, Young tableaux , London Mathematical Society Student Texts, vol. 35, Cambridge University Press, Cambridge, 1997
1997
Cited alongside, same era.
Markus Bläser, A 5 2 n 2 \frac{5}{2}n^{2} -lower bound for the rank of n × n n\times n -matrix multiplication over arbitrary fields , 40th Annual Symposium on Foundations of Computer Science (New York, 1999), IEEE Computer Soc., Los Alamitos, CA, 1999, pp. 45–50
1999
Cited alongside, same era.
Richard P. Stanley, Enumerative combinatorics. Vol. 2 , Cambridge Studies in Advanced Mathematics, vol. 62, Cambridge University Press, Cambridge, 1999
1999
Cited alongside, same era.
Arkady Berenstein and Reyer Sjamaar, Coadjoint orbits, moment polytopes, and the Hilbert-Mumford criterion , J. Amer. Math. Soc. 13
2000
Cited alongside, same era.
Ketan D. Mulmuley and Milind Sohoni, Geometric complexity theory. I. An approach to the P vs. NP and related problems , SIAM J. Comput. 31
2001
Cited alongside, same era.
Andreas Meyer, Geometric complexity theory and matrix multiplication , Ph.D. thesis, ETH Zürich, 2006, No. 16845
2006
Later among the works it cites.
by same author, Geometric complexity theory. II. Towards explicit obstructions for embeddings among class varieties , SIAM J. Comput. 38
2008
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Peter Bürgisser, Matthias Christandl, and Christian Ikenmeyer, Nonvanishing of Kronecker coefficients for rectangular shapes , arXiv 0910.4512v2 (2009)
2009
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2009
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Roe Goodman and Nolan R. Wallach, Symmetry, representations, and invariants , Graduate Texts in Mathematics, vol. 255, Springer, Dordrecht, 2009
2009
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2009
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Shrawan Kumar, Geometry of orbits of permanents and determinants , Preprint, 2010
2010
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