Publications of Harm Derksen

Papers in dark red can be downloaded in preprint form, and the typesetting may be different from the printed version.

Books

Derksen, Harm ; Kemper, Gregor . Computational Invariant Theory. Invariant Theory and Algebraic Transformation Groups, I. Encyclopaedia of Mathematical Sciences, 130. Springer-Verlag, Berlin, 2002. x+268 pp. ISBN: 3-540-43476-3

Journal Publications

Derksen, Harm . Kruskal's uniqueness inequality is sharp. Linear Algebra Appl. 438 (2013), no. 2, 708--712.
Derksen, H. ; Masser, D. Linear equations over multiplicative groups, recurrences, and mixing I. Proc. Lond. Math. Soc. (3) 104 (2012), no. 5, 1045--1083.
Derksen, Harm ; Weyman, Jerzy . The combinatorics of quiver representations. Ann. Inst. Fourier (Grenoble) 61 (2011), no. 3, 1061--1131.
Derksen, H. ; van den Essen, A. ; Finston, D. R. ; Maubach, S. Unipotent group actions on affine varieties. J. Algebra 336 (2011), 200--208.
Derksen, Harm ; Weyman, Jerzy ; Zelevinsky, Andrei . Quivers with potentials and their representations II: applications to cluster algebras. J. Amer. Math. Soc. 23 (2010), no. 3, 749--790.
Derksen, Harm ; Fink, Alex . Valuative invariants for polymatroids. Adv. Math. 225 (2010), no. 4, 1840--1892.
Derksen, Harm . Symmetric and quasi-symmetric functions associated to polymatroids. J. Algebraic Combin. 30 (2009), no. 1, 43--86.
Derksen, Harm ; Weyman, Jerzy ; Zelevinsky, Andrei . Quivers with potentials and their representations. I. Mutations. Selecta Math. (N.S.) 14 (2008), no. 1, 59--119.
Derksen, Harm ; Owen, Theodore . New graphs of finite mutation type. Electron. J. Combin. 15 (2008), no. 1, Research Paper 139, 15 pp.
Ma, Yi ; Yang, Allen Y. ; Derksen, Harm ; Fossum, Robert . Estimation of subspace arrangements with applications in modeling and segmenting mixed data. SIAM Rev. 50 (2008), no. 3, 413--458.
Derksen, Harm ; Kemper, Gregor . Computing invariants of algebraic groups in arbitrary characteristic. Adv. Math. 217 (2008), no. 5, 2089--2129.
Ma, Yi ; Derksen, Harm ; Hong, Wei ; Wright, John . Segmentation of Multivariate Mixed Data via Lossy Coding and Compression. IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI), 29 (2007) , no. 9, 1546-1562.
Chindris, Calin ; Derksen, Harm ; Weyman, Jerzy . Counterexamples to Okounkov's log-concavity conjecture. Compos. Math. 143 (2007), no. 6, 1545--1557.
Derksen, Harm ; Schofield, Aidan ; Weyman, Jerzy . On the number of subrepresentations of a general quiver representation. J. Lond. Math. Soc. (2) 76 (2007), no. 1, 135--147.
Derksen, Harm ; Eggermont, Christian ; van den Essen, Arno . Multimagic squares. Amer. Math. Monthly 114 (2007), no. 8, 703--713.
Derksen, Harm . A Skolem-Mahler-Lech theorem in positive characteristic and finite automata. Invent. Math. 168 (2007), no. 1, 175--224.
Derksen, Harm . Hilbert series of subspace arrangements. J. Pure Appl. Algebra 209 (2007), no. 1, 91--98.
Derksen, Harm ; Jeandel, Emmanuel ; Koiran, Pascal . Quantum automata and algebraic groups. J. Symbolic Comput. 39 (2005), no. 3-4, 357--371.
Derksen, Harm . Universal denominators of Hilbert series. J. Algebra 285 (2005), no. 2, 586--607.
Derksen, Harm ; Weyman, Jerzy . Quiver representations. Notices Amer. Math. Soc. 52 (2005), no. 2, 200--206.
Derksen, Harm ; Sidman, Jessica . Castelnuovo-Mumford regularity by approximation. Adv. Math. 188 (2004), no. 1, 104--123.
Derksen, H. ; Kemper, Gregor . On global degree bounds for invariants. Invariant theory in all characteristics, 37--41, CRM Proc. Lecture Notes, 35, Amer. Math. Soc., Providence, RI, 2004.
Derksen, H. Constructive invariant theory. Invariant theory in all characteristics, 11--36, CRM Proc. Lecture Notes, 35, Amer. Math. Soc., Providence, RI, 2004.
Derksen, Harm . Degree bounds for syzygies of invariants. Adv. Math. 185 (2004), no. 2, 207--214.
Derksen, Harm . Error-correcting codes and Bh-sequences. IEEE Trans. Inform. Theory 50 (2004), no. 3, 476--485.
Derksen, Harm . The fundamental theorem of algebra and linear algebra. Amer. Math. Monthly 110 (2003), no. 7, 620--623.
Derksen, Harm ; Weyman, Jerzy . Generalized quivers associated to reductive groups. Colloq. Math. 94 (2002), no. 2, 151--173.
Derksen, Harm ; Weyman, Jerzy . Semi-invariants for quivers with relations. Special issue in celebration of Claudio Procesi's 60th birthday. J. Algebra 258 (2002), no. 1, 216--227.
Derksen, Harm ; Sidman, Jessica . A sharp bound for the Castelnuovo-Mumford regularity of subspace arrangements. Adv. Math. 172 (2002), no. 2, 151--157.
Derksen, Harm ; Weyman, Jerzy . On the Littlewood-Richardson polynomials. J. Algebra 255 (2002), no. 2, 247--257.
Derksen, Harm ; Weyman, Jerzy . On the canonical decomposition of quiver representations. Compositio Math. 133 (2002), no. 3, 245--265.
Derksen, Harm . Restrictions of algebraic group representations to finite subgroups. Bull. London Math. Soc. 34 (2002), no. 2, 165--173.
Derksen, Harm . Polynomial bounds for rings of invariants. Proc. Amer. Math. Soc. 129 (2001), no. 4, 955--963.
Derksen, Harm ; Hadas, Ofer ; Makar-Limanov, Leonid . Newton polytopes of invariants of additive group actions. J. Pure Appl. Algebra 156 (2001), no. 2-3, 187--197.
Derksen, Harm ; Weyman, Jerzy . Semi-invariants of quivers and saturation for Littlewood-Richardson coefficients. J. Amer. Math. Soc. 13 (2000), no. 3, 467--479.
Derksen, Harm ; Kutzschebauch, Frank ; Winkelmann, Jörg . Subvarieties of Cⁿ with non-extendable automorphisms. J. Reine Angew. Math. 508 (1999), 213--235.
Derksen, Harm . Computation of invariants for reductive groups. Adv. Math. 141 (1999), no. 2, 366--384.
Derksen, Harm ; Kutzschebauch, Frank . Nonlinearizable holomorphic group actions. Math. Ann. 311 (1998), no. 1, 41--53.
Derksen, Harm ; Kraft, Hanspeter . Constructive invariant theory. Algèbre non commutative, groupes quantiques et invariants (Reims, 1995), 221--244, Sémin. Congr., 2, Soc. Math. France, Paris, 1997.
Derksen, Harm . Inverse degrees and the Jacobian conjecture. Comm. Algebra 22 (1994), no. 12, 4793--4794.
Derksen, H. G. J. The kernel of a derivation. J. Pure Appl. Algebra 84 (1993), no. 1, 13--16.

Conference Proceedings

Derksen, Harm ; Fink, Alex . Valuative invariants for polymatroids. 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), 271--282, Discrete Math. Theor. Comput. Sci. Proc., AN, Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2010.
Wright, John ; Hong, Wei ; Ma, Yi ; Derksen, Harm .Segmentation of Multivariate Mixed Data via Lossy Coding and Compression . SPIE conference on Visual Communications and Image Processing (VCIP), January 2007.
Rao, Shankar ; Derksen, Harm ; Fossum, Robert ; Ma, Yi, Wagner, Andrew ; Yang, Allen . The Algebra and Statistics of Generalized Principal Component Analysis . SPIE conference on Visual Communications and Image Processing (VCIP), January 2007.
Derksen, Harm ; Kutzschebauch, Frank . Global holomorphic linearization of actions of compact Lie groups on Cⁿ. Complex geometric analysis in Pohang (1997), 201--210, Contemp. Math., 222, Amer. Math. Soc., Providence, RI, 1999.
Derksen, Harm . Quotients of algebraic group actions. Automorphisms of affine spaces (Curaçao, 1994), 191--200, Kluwer Acad. Publ., Dordrecht, 1995.

Preprints