Adresse
Departement Mathematik und Informatik
Universität Basel
Spiegelgasse 1
CH-4051 Basel
Switzerland
Email: hanspeter.kraft@unibas.ch
2010 -
Small G-varieties (with A. Regeta and S. Zimmermann)
Perpetuants: A lost treasure (with C. Procesi)
Covariants, invariant subsets, and first integrals (with F. Grosshans)
Is the affine space determined by its automorphism group? (with A. Regeta and I. van Santen)
Automorphism groups of affine varieties and a characterization of affine n-space
Trans. Moscow Math. Soc. 78 (2017) 171-186
Automorphisms of the Lie algebra of vector fields (with A. Regeta)
J. Eur. Math. Soc. 19 (2017) 1577-1588
Invariants and separating morphisms for algebraic groups actions (with E. Dufresne)
Math. Z. 280(1) (2015) 231-255
Families of groups actions, generic isotriviality, and linearization (with P. Russel)
Transformation Groups 19 (2014) 779-792
Varieties characterized by their endomorphisms (with R. Andrist).
Math. Research Letters 21 (2014) 225-233
Representations with a reduced null cone (with G.W. Schwarz).
In: Symmetry: Representation Theory and Its Applications (Jeb Willenbring Roger Howe, Markus Hunziker, ed.), Progress in Mathematics, vol. 257, Birkhäuser Boston Inc., 2014, pp. 419–474.
On Automorphisms of the affine Cremona group (with I. Stampfli).
Ann. de l'Institut Fourier 63 (2013) 1137-1148
Degree bounds for separating invariants (with M. Kohls).
Math. Research Letters, 17 (2010) 10001-10012
Polarizations and nullcone of representations of reductive groups (with Nolan R. Wallach).
Progress in Math. Vol. 278 (2010) 153-168
2000 - 2009
Compression of finite group actions and covariant dimension, II (with Roland Lötscher and G. W. Schwarz).
J. Algebra 322 (2009) 94-107
Compression of finite group actions and covariant dimension (with G. W. Schwarz).
J. Algebra 313 (2007) 268-291
On the nullcone of representations of reductive groups (with Nolan R. Wallach).
Pacific J. Math. vol. 224 (2006) 119-140
Nilpotent subspaces of maximal dimension in semisimple Lie algebras (with Jan Draisma and Jochen Kuttler).
Compositio Math. vol. 142 (2006) 464-476
A result of Hermite and equations of degree 5 and 6.
J. Algebra 297 (2006), 234-253
Free C+-actions on affine threefolds.
In: Affine Algebraic Geometry (Jaime Gutierrez, Vladimir Shpilrain, and Jie-Tai Yu, eds.), Contemporary Mathematics vol. 369, AMS, (2005)
On the separation property of orbits in representation spaces (with N. Wallach).
J. Algebra 258 (2002) 228-254
Rational covariants of reductive groups and homaloidal polynomials (with G.W. Schwarz).
Math. Research Letters 8 (2002) 641-650
Properties and examples of FCR-algebras (with L. Small and N. Wallach).
Manuscripta math. 104 (2001) 443-450
1990 - 1999
Hereditary Properties of direct Summands of Algebras (with L. Small and N. Wallach)
Math. Research Letters 6 (1999) 371-376
Principal covariants, multiplicity-free actions, and the K-types of holomorphic discrete series (with R. Howe).
In: Geometry and Representation Theory of Real and p-adic Lie Groups (J. Tirao, D. Vogen, J. Wolf, eds.), Progress in Math. vol. 158, Birkhäuser Verlag, Basel-Boston, 1998, pp. 147-161
Constructive invariant theory (with H. Derksen).
In: Séminaires et Congrès, Collection SMF vol. 2 "Algèbre non-commutative, groupes quantiques et invariants (ed. J. Alev, G. Couchon), 1997, pp. 221-244, Société mathématique de France
Equivariant affine line bundles and linearization (with F. Kutzschebauch).
Math. Research Letters 3 (1996) 619-628
Challenging problems on affine n-space.
Séminaire Bourbaki, Vol. 1994/95, Exp. No. 802, 5, Astérisque 237 (1995) 295-317
On a question of E. Stein.
In: Proceedings of the Curaçao Conference on "Automorphisms of Affine Space," 1995
Finite automorphisms of affine n-space (with G. Schwarz).
In: Proceedings of the Curaçao Conference on "Automorphisms of Affine Space," 1995
Invariant algebras and completely reducible representations (with L. Small).
Math. Research Letters 1 (1994) 297-307
Reductive group actions with one-dimensional quotient (with G. Schwarz).
Publ. Math. de l'IHES 76 (1992) 1-97
Algebraic automorphisms of affine space.
Proceedings of the Hyderabad Conference on Algebraic Groups 1989. Manoj Prakashan, 1991, 251 -274
C*-actions on affine space.
In: "Operator Algebras, Unitary Representations, Envelopping Algebras, and Invariant Theory". Edited by A. Connes, M. Duflo, A. Joseph, R. Rentschler. Progress in Mathematics, vol. 92 (1990), 561-579. Birkhäuser Verlag Basel-Boston, 1990
A special decomposition of the nilpotent cone in a classical Lie algebra (with C. Procesi).
In: Orbites unipotentes et représentations. Astérisque 173-174 (1990), 271-279