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J. M. Landsberg | Peter Bürgisser | Laurent Manivel | Jerzy Weyman | J. Landsberg | J. Weyman | L. Manivel | Peter Bürgisser
[1] Arkady Berenstein,et al. Coadjoint orbits, moment polytopes, and the Hilbert-Mumford criterion , 1998 .
[2] Ketan Mulmuley,et al. Geometric Complexity Theory IV: quantum group for the Kronecker problem , 2007, ArXiv.
[3] Laurent Manivel,et al. A note on certain Kronecker coefficients , 2008, 0809.3710.
[4] Vladimir L. Popov,et al. Two Orbits: When is one in the closure of the other? , 2008, 0808.2735.
[5] Ketan Mulmuley,et al. Geometric Complexity Theory II: Towards Explicit Obstructions for Embeddings among Class Varieties , 2006, SIAM J. Comput..
[6] Joe W. Harris,et al. Vector spaces of matrices of low rank , 1988 .
[7] Shrawan Kumar,et al. Kac-Moody Groups, their Flag Varieties and Representation Theory , 2002 .
[8] Leslie G. Valiant,et al. Completeness classes in algebra , 1979, STOC.
[9] Peter Bürgisser,et al. Completeness and Reduction in Algebraic Complexity Theory , 2000, Algorithms and computation in mathematics.
[10] Ketan Mulmuley,et al. Geometric Complexity Theory VI: the flip via saturated and positive integer programming in representation theory and algebraic geometry , 2007, ArXiv.
[11] Kay Magaard,et al. Irreducibility of alternating and¶symmetric squares , 1998 .
[12] Rosa Orellana,et al. A COMBINATORIAL INTERPRETATION FOR THE COEFFICIENTS IN THE KRONECKER PRODUCT s(n p;p) s , 2005 .
[13] Peter Bürgisser. Cook's versus Valiant's hypothesis , 2000, Theor. Comput. Sci..
[14] Michel Brion,et al. Stable properties of plethysm : on two conjectures of Foulkes , 1993 .
[15] Claudio Procesi,et al. Lie Groups: An Approach through Invariants and Representations , 2006 .
[16] Richard P. Stanley,et al. Séminaire Lotharingien de Combinatoire 50 (2004), Article B50d Irreducible Symmetric Group Characters of Rectangular Shape 1 The main result. , 2022 .
[17] J. Weyman. Cohomology of Vector Bundles and Syzygies , 2003 .
[18] Sang Joon Kim,et al. A Mathematical Theory of Communication , 2006 .
[19] Felix Klein,et al. An approach through invariants and representations , 2008 .
[20] A. W. Knapp. Lie groups beyond an introduction , 1988 .
[21] F. Murnaghan. The Analysis of the Kronecker Product of Irreducible Representations of the Symmetric Group , 1938 .
[22] Stuart J. Berkowitz,et al. On Computing the Determinant in Small Parallel Time Using a Small Number of Processors , 1984, Inf. Process. Lett..
[23] Shantala Mukherjee,et al. Coadjoint Orbits for A , 2005 .
[24] Joachim von zur Gathen,et al. Feasible Arithmetic Computations: Valiant's Hypothesis , 1987, J. Symb. Comput..
[25] Matthias Christandl,et al. Nonvanishing of Kronecker coefficients for rectangular shapes , 2009, 0910.4512.
[26] Peter Bürgisser,et al. Geometric complexity theory and tensor rank , 2010, STOC '11.
[27] Ketan D. Mulmuley Hariharan Narayanan. Geometric Complexity Theory V: On deciding nonvanishing of a generalized Littlewood-Richardson coefficient , 2007, ArXiv.
[28] Ketan Mulmuley,et al. Geometric Complexity Theory VII: Nonstandard quantum group for the plethysm problem , 2007, ArXiv.
[29] Shrawan Kumar,et al. Geometry of orbits of permanents and determinants , 2010, 1007.1695.
[30] Matthias Christandl,et al. Even partitions in plethysms , 2010, 1003.4474.
[31] Dominic Welsh,et al. COMPLETENESS AND REDUCTION IN ALGEBRAIC COMPLEXITY THEORY (Algorithms and Computation in Mathematics 7) By PETER BÜRGISSER: 168 pp., $44.50, ISBN 3-540-66752-0 (Springer, Berlin, 2000). , 2002 .
[32] Peter Bürgisser,et al. The Complexity of Factors of Multivariate Polynomials , 2001, Found. Comput. Math..
[33] Nicolas Ressayre,et al. Geometric invariant theory and the generalized eigenvalue problem , 2007, 0704.2127.
[34] A. M. Popov,et al. Irreducible simple linear Lie groups with finite standard subgroups of general position , 1975 .
[35] B. Kostant,et al. Lie Group Representations on Polynomial Rings , 1963 .
[36] G. Kempf,et al. Instability in invariant theory , 1978, 1807.02890.
[37] A. Klyachko. QUANTUM MARGINAL PROBLEM AND REPRESENTATIONS OF THE SYMMETRIC GROUP , 2004, quant-ph/0409113.
[38] Valeri V.Dolotin. On Invariant Theory , 1995, alg-geom/9512011.
[39] Seinosuke Toda,et al. Classes of Arithmetic Circuits Capturing the Complexity of Computing the Determinant , 1992 .
[40] H. Ryser. Combinatorial Mathematics: THE PRINCIPLE OF INCLUSION AND EXCLUSION , 1963 .
[41] Robin Hartshorne,et al. Ample subvarieties of algebraic varieties , 1970 .
[42] Guillaume Malod,et al. Characterizing Valiant's algebraic complexity classes , 2006, J. Complex..
[43] I. G. MacDonald,et al. Symmetric functions and Hall polynomials , 1979 .
[44] Laurent Manivel,et al. Applications de Gauss et pléthysme , 1997 .
[45] Ketan Mulmuley,et al. Geometric Complexity Theory VIII: On canonical bases for the nonstandard quantum groups , 2007, ArXiv.
[46] Joe Harris,et al. Representation Theory: A First Course , 1991 .
[47] Ketan Mulmuley,et al. Geometric Complexity III: on deciding positivity of Littlewood-Richardson coefficients , 2005, ArXiv.
[48] Aram W. Harrow,et al. Nonzero Kronecker Coefficients and What They Tell us about Spectra , 2007 .
[49] Basic Theory,et al. Kac-Moody Groups , 2002 .
[50] Marvin Marcus,et al. The Permanent Function , 1962, Canadian Journal of Mathematics.
[51] M. Franz. Moment Polytopes of Projective G-Varieties and Tensor Products of Symmetric Group Representations , 2002 .
[52] R. Howe,et al. Perspectives on invariant theory : Schur duality, multiplicity-free actions and beyond , 1995 .
[53] D. Eisenbud. Commutative Algebra: with a View Toward Algebraic Geometry , 1995 .
[54] D. Hilbert,et al. Ueber die vollen Invariantensysteme , 1893 .
[55] Rosa C. Orellana,et al. Reduced Kronecker coefficients and counter-examples to Mulmuley's saturation conjecture SH , 2008, ArXiv.
[56] J. M. Landsberg,et al. Hypersurfaces with degenerate duals and the Geometric Complexity Theory Program , 2010, ArXiv.
[57] Hanspeter Kraft,et al. Geometrische Methoden in der Invariantentheorie , 1984 .
[58] D MulmuleyKetan. On P vs. NP and geometric complexity theory , 2011 .
[59] H. Hironaka. Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: II , 1964 .
[60] Rosa C. Orellana,et al. Reduced Kronecker Coefficients and Counter–Examples to Mulmuley’s Strong Saturation Conjecture SH , 2009, computational complexity.
[61] J. Weyman,et al. The algebras of semi-invariants of quivers , 2000 .
[62] Ketan Mulmuley,et al. Geometric Complexity Theory I: An Approach to the P vs. NP and Related Problems , 2002, SIAM J. Comput..
[63] Peter Botta,et al. Linear transformations that preserve the permanent , 1967 .
[64] Erich Kaltofen,et al. Expressing a fraction of two determinants as a determinant , 2008, ISSAC '08.
[65] Laurent Manivel,et al. Gaussian Maps and Plethysm , 1992 .
[66] R. H. Makar. On the Analysis of the Kronecker Product of Irreducible Representations of the Symmetric Group , 1949 .