@article{benim_dometrius_helminck_wu_2016, title={Isomorphy classes of involutions of SO(n, k, beta), n > 2}, volume={26}, number={2}, journal={Journal of Lie Theory}, author={Benim, R. W. and Dometrius, C. E. and Helminck, A. G. and Wu, L.}, year={2016}, pages={383–438} } @article{benim_helminck_ward_2016, title={Isomorphy classes of involutions of SP(2n, k), n > 2 (vol 25, pg 903, 2015)}, volume={26}, number={1}, journal={Journal of Lie Theory}, author={Benim, R. W. and Helminck, A. G. and Ward, F. J.}, year={2016}, pages={293–295} } @article{helminck_helminck_panasenko_2014, title={Cauchy problems related to integrable deformations of pseudo differential operators}, volume={85}, DOI={10.1016/j.geomphys.2014.05.004}, journal={Journal of Geometry and Physics}, author={Helminck, G. F. and Helminck, A. G. and Panasenko, E. A.}, year={2014}, pages={196–205} } @article{helminck_helminck_2014, title={Infinite dimensional symmetric spaces and Lax equations compatible with the infinite Toda chain}, volume={85}, DOI={10.1016/j.geomphys.2014.05.023}, journal={Journal of Geometry and Physics}, author={Helminck, G. F. and Helminck, A. G.}, year={2014}, pages={60–74} } @article{helminck_helminck_panasenko_2013, title={Integrable deformations in the algebra of pseudodifferential operators from a Lie algebraic perspective}, volume={174}, DOI={10.1007/s11232-013-0011-7}, number={1}, journal={Theoretical and Mathematical Physics}, author={Helminck, G. F. and Helminck, A. G. and Panasenko, E. A.}, year={2013}, pages={134–153} } @inproceedings{haas_helminck_2012, title={Algorithms for twisted involutions in Weyl groups}, volume={19}, DOI={10.1142/s100538671200017x}, number={2}, booktitle={Algebra Colloquium}, author={Haas, R. and Helminck, A. G.}, year={2012}, pages={263–282} } @article{haas_helminck_2011, title={Admissible sequences for twisted involutions in Weyl groups}, volume={54}, DOI={10.4153/cmb-2011-075-1}, number={4}, journal={Canadian Mathematical Bulletin}, author={Haas, R. and Helminck, A. G.}, year={2011}, pages={663–675} } @article{helminck_helminck_opimakh_2011, title={Equivalent forms of multi component Toda hierarchies}, volume={61}, DOI={10.1016/j.geomphys.2010.11.013}, number={4}, journal={Journal of Geometry and Physics}, author={Helminck, G. F. and Helminck, A. G. and Opimakh, A. V.}, year={2011}, pages={847–873} } @article{helminck_helminck_opimakh_2011, title={Equivalent forms of multi component Toda hierarchies (Reprinted from Journal of Geometry and Physics, vol 61, pg 847, 2011)}, volume={61}, DOI={10.1016/j.geomphys.2011.06.012}, number={9}, journal={Journal of Geometry and Physics}, author={Helminck, G. F. and Helminck, A. G. and Opimakh, A. V.}, year={2011}, pages={1755–1781} } @article{helminck_schwarz_2011, title={On generalized Cartan subspaces}, volume={16}, DOI={10.1007/s00031-011-9151-8}, number={3}, journal={Transformation Groups}, author={Helminck, A. G. and Schwarz, G. W.}, year={2011}, pages={783–805} } @inproceedings{helminck_2010, title={On orbit decompositions for symmetric k-varieties}, volume={278}, DOI={10.1007/978-0-8176-4875-6_6}, booktitle={Symmetry and spaces - in honor of gerry schwarz}, author={Helminck, A. G.}, year={2010}, pages={83–127} } @article{helminck_helminck_opimakh_2010, title={The relative frame bundle of an infinite-dimensional flag variety and solutions of integrable hierarchies}, volume={165}, DOI={10.1007/s11232-010-0133-0}, number={3}, journal={Theoretical and Mathematical Physics}, author={Helminck, G. F. and Helminck, A. G. and Opimakh, A. V.}, year={2010}, pages={1610–1636} } @article{beun_helminck_2009, title={On the classification of orbits of symmetric subgroups acting on flag varieties of SL(2, k)}, volume={37}, DOI={10.1080/00927870802466983}, number={4}, journal={Communications in Algebra}, author={Beun, S. L. and Helminck, A. G.}, year={2009}, pages={1334–1352} } @article{helminck_schwarz_2009, title={Real double coset spaces and their invariants}, volume={322}, DOI={10.1016/j.jalgebra.2009.01.028}, number={1}, journal={Journal of Algebra}, author={Helminck, A. G. and Schwarz, G. W.}, year={2009}, pages={219–236} } @article{daniel_helminck_2008, title={Algorithms for computations in local symmetric spaces}, volume={36}, DOI={10.1080/00927870801940434}, number={5}, journal={Communications in Algebra}, author={Daniel, J. R. and Helminck, A. G.}, year={2008}, pages={1758–1788} } @article{gagliardi_helminck_2007, title={Algorithms for computing characters for symmetric spaces}, volume={99}, DOI={10.1007/s10440-007-9171-5}, number={3}, journal={Acta Applicandae Mathematicae}, author={Gagliardi, D. and Helminck, A. G.}, year={2007}, pages={339–365} } @article{daniel_helminck_2007, title={Computing the fine structure of real reductive symmetric spaces}, volume={42}, DOI={10.1016/j.jsc.2006.08.003}, number={5}, journal={Journal of Symbolic Computation}, author={Daniel, J. R. and Helminck, A. G.}, year={2007}, pages={497–510} } @article{helminck_wu_dometrius_2006, title={Involutions of SL(n,k), (n < 2)}, volume={90}, DOI={10.1007/s10440-006-9032-7}, number={2-Jan}, journal={Acta Applicandae Mathematicae}, author={Helminck, A. G. and Wu, L. and Dometrius, C. E.}, year={2006}, pages={91–119} } @article{helminck_helminck_2005, title={Multiplicity one for representations corresponding to spherical distribution vectors of class rho}, volume={86}, DOI={10.1007/s10440-005-0461-5}, number={02-Jan}, journal={Acta Applicandae Mathematicae}, author={Helminck, A. G. and Helminck, G. F.}, year={2005}, pages={21–48} } @article{helminck_schwarz_2004, title={Smoothness of quotients associated with a pair of commuting involutions}, volume={56}, DOI={10.4153/CJM-2004-043-7}, number={5}, journal={Canadian Journal of Mathematics}, author={Helminck, A. G. and Schwarz, G. W.}, year={2004}, pages={945–962} } @article{helminck_wu_2002, title={Classification of involutions of SL(2, k)}, volume={30}, DOI={10.1081/AGB-120006486}, number={1}, journal={Communications in Algebra}, author={Helminck, A. G. and Wu, L.}, year={2002}, pages={193–203} } @article{helminck_helminck_2002, title={Hilbert flag varieties and their Kahler structure}, volume={35}, DOI={10.1088/0305-4470/35/40/312}, number={40}, journal={Journal of Physics. A, Mathematical and General}, author={Helminck, G. F. and Helminck, A. G.}, year={2002}, pages={8531–8550} } @article{helminck_schwarz_2002, title={Orbits and invariants associated with a pair of spherical varieties: Some examples}, volume={73}, DOI={10.1023/A:1019726804264}, number={1-2}, journal={Acta Applicandae Mathematicae}, author={Helminck, A. G. and Schwarz, G. W.}, year={2002}, pages={103–113} } @article{helminck_helminck_2002, title={Spherical distribution vectors}, volume={73}, DOI={10.1023/A:1019762302447}, number={1-2}, journal={Acta Applicandae Mathematicae}, author={Helminck, A. G. and Helminck, G. F.}, year={2002}, pages={39–57} } @article{helminck_schwarz_2001, title={Orbits and invariants associated with a pair of commuting involutions}, volume={106}, DOI={10.1215/s0012-7094-01-10622-4}, number={2}, journal={Duke Mathematical Journal}, author={Helminck, A. G. and Schwarz, G. W.}, year={2001}, pages={237–279} } @article{helminck_2000, title={Computing orbits of minimal parabolic k-subgroups acting on symmetric k-varieties}, volume={30}, DOI={10.1006/jsco.2000.0395}, number={5}, journal={Journal of Symbolic Computation}, author={Helminck, A. G.}, year={2000}, pages={521–553} } @article{brion_helminck_2000, title={On orbit closures of symmetric subgroups in flag varieties}, volume={52}, DOI={10.4153/CJM-2000-012-9}, number={2}, journal={Canadian Journal of Mathematics}, author={Brion, M. and Helminck, A. G.}, year={2000}, pages={265–292} } @article{helminck_2000, title={On the classification of k-involutions}, volume={153}, DOI={10.1006/aima.1998.1884}, number={1}, journal={Advances in Mathematics}, author={Helminck, A. G.}, year={2000}, pages={1–117} } @article{helminck_hilgert_neumam_olafsson_1999, title={A conjugacy theorem for symmetric spaces}, volume={313}, DOI={10.1007/s002080050282}, number={4}, journal={Mathematische Annalen}, author={Helminck, A. G. and Hilgert, J. and Neumam, A. and Olafsson, G.}, year={1999}, pages={785–791} } @article{helminck_helminck_1998, title={A class of parabolic k-subgroups associated with symmetric k-varieties}, volume={350}, DOI={10.1090/S0002-9947-98-02029-7}, number={11}, journal={Transactions of the American Mathematical Society}, author={Helminck, A. G. and Helminck, G. F.}, year={1998}, pages={4669–4691} } @article{helminck_1997, title={Tori invariant under an involutorial automorphism II}, volume={131}, DOI={10.1006/aima.1997.1633}, number={1}, journal={Advances in Mathematics}, author={Helminck, A. G.}, year={1997}, pages={1–92} }