@article{34846, abstract = {{Given a field extension K/k of degree n we are interested in finding the subfields of K containing k. There can be more than polynomially many subfields. We introduce the notion of generating subfields, a set of up to n subfields whose intersections give the rest. We provide an efficient algorithm which uses linear algebra in k or lattice reduction along with factorization in any extension of K. Implementations show that previously difficult cases can now be handled.}}, author = {{van Hoeij, Mark and Klüners, Jürgen and Novocin, Andrew}}, issn = {{0747-7171}}, journal = {{Journal of Symbolic Computation}}, keywords = {{Computational Mathematics, Algebra and Number Theory}}, pages = {{17--34}}, publisher = {{Elsevier BV}}, title = {{{Generating subfields}}}, doi = {{10.1016/j.jsc.2012.05.010}}, volume = {{52}}, year = {{2011}}, } @article{42798, abstract = {{This paper classifies the maximal finite subgroups of SP₂ₙ(Q) for 1⩽n⩽11 up to GL₂ₙ(Q) conjugacy in .}}, author = {{Kirschmer, Markus}}, issn = {{1058-6458}}, journal = {{Experimental Mathematics}}, keywords = {{General Mathematics}}, number = {{2}}, pages = {{217--228}}, publisher = {{Informa UK Limited}}, title = {{{Finite Symplectic Matrix Groups}}}, doi = {{10.1080/10586458.2011.564964}}, volume = {{20}}, year = {{2011}}, } @article{44349, author = {{Burban, Igor and Drozd, Yu.}}, journal = {{Mathematische Annalen}}, number = {{3}}, pages = {{665–709}}, title = {{{Tilting on non–commutative rational projective curves}}}, volume = {{351}}, year = {{2011}}, } @article{45691, author = {{Bruns, Julia and Eichen, L. and Pfiffner, M. and Walter-Laager, C.}}, journal = {{gruppe & spiel}}, number = {{4}}, pages = {{6–9}}, title = {{{Freies Spiel beobachten. Chancen und Stolpersteine}}}, volume = {{11}}, year = {{2011}}, } @inbook{64675, author = {{Glöckner, Helge}}, booktitle = {{Developments and trends in infinite-dimensional Lie theory}}, isbn = {{978-0-8176-4740-7; 978-0-8176-4741-4}}, keywords = {{22E65, 22E15, 46A13, 46T05, 54D50}}, pages = {{243–280}}, publisher = {{Basel: Birkhäuser}}, title = {{{Direct limits of infinite-dimensional Lie groups}}}, doi = {{10.1007/978-0-8176-4741-4_8}}, year = {{2011}}, } @phdthesis{64745, author = {{Dahmen, Rafael}}, title = {{{Direct limit constructions in infinite dimensional Lie theory}}}, year = {{2011}}, } @inbook{16575, author = {{Dellnitz, Michael and Padberg, Kathrin and Preis, Robert and Thiere, Bianca}}, booktitle = {{Nonlinear Science and Complexity}}, isbn = {{9789048198832}}, title = {{{Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem}}}, doi = {{10.1007/978-90-481-9884-9_12}}, year = {{2010}}, } @article{16590, author = {{Flaßkamp, Kathrin and Ober-Blöbaum, Sina and Kobilarov, Marin}}, issn = {{1617-7061}}, journal = {{PAMM}}, pages = {{577--578}}, title = {{{Solving optimal control problems by using inherent dynamical properties}}}, doi = {{10.1002/pamm.201010281}}, year = {{2010}}, } @article{16673, author = {{Tantardini, Marco and Fantino, Elena and Ren, Yuan and Pergola, Pierpaolo and Gómez, Gerard and Masdemont, Josep J.}}, issn = {{0923-2958}}, journal = {{Celestial Mechanics and Dynamical Astronomy}}, pages = {{215--232}}, title = {{{Spacecraft trajectories to the L3 point of the Sun–Earth three-body problem}}}, doi = {{10.1007/s10569-010-9299-x}}, year = {{2010}}, } @inproceedings{16675, author = {{Thiere, Bianca and Ober-Blöbaum, Sina and Pergola, Pierpaolo}}, booktitle = {{AIAA/AAS Astrodynamics Specialist Conference}}, isbn = {{9781624101502}}, title = {{{Detecting Initial Guesses for Trajectories in the (P)CRTBP}}}, doi = {{10.2514/6.2010-7962}}, year = {{2010}}, } @article{29411, author = {{Leyendecker, S. and Ober-Blöbaum, Sina and Marsden, J. E. and Ortiz, M.}}, journal = {{Optimal Control, Applications and Methods}}, pages = {{505--528}}, title = {{{Discrete mechanics and optimal control for constrained systems}}}, volume = {{31(6)}}, year = {{2010}}, } @inproceedings{29468, author = {{Moore, A. and Ober-Blöbaum, Sina and Marsden, J.E.}}, booktitle = {{4th European Conference on Computational Mechanics }}, location = {{Paris, France}}, title = {{{The effect of mesh refinement on spacecraft trajectory design using descrete mechanics and optimal control}}}, year = {{2010}}, } @inproceedings{29467, author = {{Thiere, B. and Ober-Blöbaum, Sina and Pergola, P.}}, booktitle = {{AIAA/AAS Astrodynamics Specialist Conference}}, location = {{Toronto, Canada, USA}}, title = {{{Detecting initial guesses for trajectories in the (P)CRTBP}}}, year = {{2010}}, } @inproceedings{29496, author = {{Ober-Blöbaum, Sina and Walther, A.}}, booktitle = {{Proceedings of Applied Mathematics and Mechanics}}, pages = {{585--586}}, title = {{{Computation of derivatives for structure preserving optimal control using automatic differentiation}}}, volume = {{10(1)}}, year = {{2010}}, } @inproceedings{29495, author = {{Flaßkamp, K. and Ober-Blöbaum, Sina and Kobilarov, M.}}, booktitle = {{Proceedings of Applied Mathematics and Mechanics}}, pages = {{577--578}}, title = {{{Solving optimal control problems by using inherent dynamical properties}}}, volume = {{10(1)}}, year = {{2010}}, } @article{51402, author = {{Hilgert, Joachim and Zirnbauer, M. and Alldridge, A.}}, journal = {{J. Algebra}}, pages = {{1159--1185}}, title = {{{Chevalley's Restriction Theorem for Reductive Symmetric Superpairs}}}, volume = {{323}}, year = {{2010}}, } @article{51401, author = {{Hilgert, Joachim and Alldridge, A.}}, journal = {{J. Lie Theory}}, pages = {{65--91}}, title = {{{Invariant Berezin integration on homogeneous supermanifolds}}}, volume = {{20}}, year = {{2010}}, } @inbook{54337, author = {{Hesse, Kerstin and H. Sloan, Ian and S. Womersley, Robert }}, booktitle = {{Handbook of Geomathematics }}, editor = {{Freeden, Willi and Nashed , Zuhair and Sonar, Thomas}}, pages = {{1187--1220.}}, publisher = {{Springer Verlag}}, title = {{{Numerical integration on the sphere}}}, year = {{2010}}, } @article{39924, author = {{Rösler, Margit}}, issn = {{0022-1236}}, journal = {{Journal of Functional Analysis}}, keywords = {{Analysis}}, number = {{8}}, pages = {{2779--2800}}, publisher = {{Elsevier BV}}, title = {{{Positive convolution structure for a class of Heckman–Opdam hypergeometric functions of type BC}}}, doi = {{10.1016/j.jfa.2009.12.007}}, volume = {{258}}, year = {{2010}}, } @article{34886, abstract = {{We give asymptotic upper and lower bounds for the number of squarefree d (0 < d ≤ X) such that the equation x² − dy²= −1 is solvable. These estimates, as usual, can equivalently be interpreted in terms of real quadratic fields with a fundamental unit with norm −1 and give strong evidence in the direction of a conjecture due to P. Stevenhagen.}}, author = {{Fouvry, Étienne and Klüners, Jürgen}}, issn = {{0003-486X}}, journal = {{Annals of Mathematics}}, keywords = {{Statistics, Probability and Uncertainty, Mathematics (miscellaneous)}}, number = {{3}}, pages = {{2035--2104}}, publisher = {{Annals of Mathematics}}, title = {{{On the negative Pell equation}}}, doi = {{10.4007/annals.2010.172.2035}}, volume = {{172}}, year = {{2010}}, }