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Helminck, Aloysius G.

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Author ID: helminck.aloysius-g Recent zbMATH articles by "Helminck, Aloysius G."
Published as: Helminck, A.; Helminck, A. G.; Helminck, Aloysius G.
Documents Indexed: 57 Publications since 1986, including 2 Books

Publications by Year

Citations contained in zbMATH

42 Publications have been cited 278 times in 146 Documents Cited by Year
On rationality properties of involutions of reductive groups. Zbl 0788.22022
Helminck, A. G.; Wang, S. P.
56
1993
Algebraic groups with a commuting pair of involutions and semisimple symmetric spaces. Zbl 0685.22007
Helminck, Aloysius G.
33
1988
Trilinear alternating forms on a vector space of dimension 7. Zbl 0646.15019
Cohen, Arjeh M.; Helminck, Aloysius G.
29
1988
A class of parabolic \(k\)-subgroups associated with symmetric \(k\)-varieties. Zbl 0912.20041
Helminck, A. G.; Helminck, G. F.
16
1998
On the classification of \(k\)-involutions. Zbl 0974.20033
Helminck, A. G.
13
2000
On orbit closures of symmetric subgroups in flag varieties. Zbl 0972.14039
Brion, Michel; Helminck, Aloysius G.
13
2000
Integrable deformations in the algebra of pseudodifferential operators from a Lie algebraic perspective. Zbl 1352.17030
Helminck, G. F.; Helminck, A. G.; Panasenko, E. A.
11
2013
Tori invariant under an involutorial automorphism. I. Zbl 0731.20029
Helminck, A. G.
10
1991
Classification of involutions of \(\text{SL}(2,k)\). Zbl 1001.20044
Helminck, Aloysius G.; Wu, Ling
9
2002
Orbits and invariants associated with a pair of commuting involutions. Zbl 1015.20031
Helminck, Aloysius G.; Schwarz, Gerald W.
9
2001
Tori invariant under an involutorial automorphism. II. Zbl 0911.20034
Helminck, A. G.
8
1997
Involutions of \(\text{SL}(n,k)\), (\(n>2\)). Zbl 1100.14040
Helminck, Aloysius G.; Wu, Ling; Dometrius, Christopher E.
6
2006
Symmetric \(k\)-varieties. Zbl 0819.20048
Helminck, A. G.
6
1994
Cauchy problems related to integrable deformations of pseudo differential operators. Zbl 1298.35259
Helminck, G. F.; Helminck, A. G.; Panasenko, E. A.
4
2014
The relative frame bundle of an infinite-dimensional flag variety and solutions of integrable hierarchies. Zbl 1253.37074
Helminck, G. F.; Helminck, A. G.; Opimakh, A. V.
4
2010
Combinatorics related to orbit closures of symmetric subgroups in flag varieties. Zbl 1067.14050
Helminck, Aloysius G.
4
2004
Computing orbits of minimal parabolic \(k\)-subgroups acting on symmetric \(k\)-varieties. Zbl 0982.20031
Helminck, Aloysius G.
4
2000
Computing \(B\)-orbits on \(G/H\). Zbl 0851.68054
Helminck, A. G.
4
1996
Algorithms for computing characters for symmetric spaces. Zbl 1132.53030
Gagliardi, Daniel; Helminck, Aloysius G.
3
2007
Smoothness of quotients associated with a pair of commuting convolutions. Zbl 1099.20020
Helminck, Aloysius G.; Schwarz, Gerald W.
3
2004
A conjugacy theorem for symmetric spaces. Zbl 0926.22005
Helminck, A. G.; Hilgert, J.; Neumann, A.; Ólafsson, G.
3
1999
The structure of Hilbert flag varieties. Zbl 0836.22029
Helminck, Gerard F.; Helminck, Aloysius G.
3
1994
Admissible sequences for twisted involutions in Weyl groups. Zbl 1241.20053
Haas, Ruth; Helminck, Aloysius G.
2
2011
Real double coset spaces and their invariants. Zbl 1176.22007
Helminck, Aloysius G.; Schwarz, Gerald W.
2
2009
Implementing an algorithm for the twisted involution poset for Weyl groups. Zbl 1112.20033
Brenneman, Kathryn; Haas, Ruth; Helminck, Aloysius G.
2
2006
Hilbert flag varieties and their Kähler structure. Zbl 1088.22012
Helminck, G. F.; Helminck, A. G.
2
2002
Spherical distribution vectors. Zbl 1050.22008
Helminck, Aloysius G.; Helminck, Gerardus F.
2
2002
Holomorphic line bundles over Hilbert flag varieties. Zbl 0837.22012
Helminck, A. G.; Helminck, G. F.
2
1994
On groups with a Cartan involution. Zbl 0809.20033
Helminck, A. G.
2
1991
On the structure of generalized symmetric spaces of \(\mathrm{SL}_2(\mathbb F_q)\) and \(\mathrm{GL}_2(\mathbb F_q)\). Zbl 1434.20031
Buell, C.; Helminck, A. G.; Klima, Vicky W.; Schaefer, Jennifer B.; Wright, Carmen; Ziliak, E.
1
2017
Isomorphy classes of involutions of \(\mathrm{SO}(n,k,\beta)\), \(n>2\). Zbl 1351.20027
Benim, Robert W.; Dometrius, Christopher E.; Helminck, Aloysius G.; Wu, Ling
1
2016
Isomorphy classes of involutions of \(\mathrm{SP}(2n,k)\), \(n>2\). Zbl 1342.20047
Benim, Robert W.; Helminck, Aloysius G.; Jackson Ward, Farrah
1
2015
On the structure of involutions and symmetric spaces of dihedral groups. Zbl 1336.20025
Cunningham, K. K. A.; Edgar, Tom; Helminck, A. G.; Jones, B. F.; Oh, H.; Schwell, R.; Vasquez, J. F.
1
2014
Infinite dimensional symmetric spaces and Lax equations compatible with the infinite Toda chain. Zbl 1302.37038
Helminck, G. F.; Helminck, A. G.
1
2014
Algorithms for twisted involutions in Weyl groups. Zbl 1254.20033
Haas, R.; Helminck, A. G.
1
2012
On generalized Cartan subspaces. Zbl 1235.43010
Helminck, Aloysius G.; Schwarz, Gerald W.
1
2011
On the classification of orbits of symmetric subgroups acting on flag varieties of SL\((2, k)\). Zbl 1183.14067
Beun, Stacy L.; Helminck, Aloysius G.
1
2009
Algorithms for computations in local symmetric spaces. Zbl 1149.53033
Daniel, Jennifer R.; Helminck, Aloysius G.
1
2008
Computing the fine structure of real reductive symmetric spaces. Zbl 1130.53036
Daniel, Jennifer R.; Helminck, Aloysius G.
1
2007
Multiplicity one for representations corresponding to spherical distribution vectors of class \(\rho\). Zbl 1146.22010
Helminck, Aloysius G.; Helminck, Gerardus F.
1
2005
Orbits and invariants associated with a pair of spherical varieties: some examples. Zbl 1053.20042
Helminck, Aloysius G.; Schwarz, Gerald W.
1
2002
On the orbits of symmetric spaces under the action of parabolic subgroups. Zbl 0694.14025
Helminck, A. G.
1
1989
On the structure of generalized symmetric spaces of \(\mathrm{SL}_2(\mathbb F_q)\) and \(\mathrm{GL}_2(\mathbb F_q)\). Zbl 1434.20031
Buell, C.; Helminck, A. G.; Klima, Vicky W.; Schaefer, Jennifer B.; Wright, Carmen; Ziliak, E.
1
2017
Isomorphy classes of involutions of \(\mathrm{SO}(n,k,\beta)\), \(n>2\). Zbl 1351.20027
Benim, Robert W.; Dometrius, Christopher E.; Helminck, Aloysius G.; Wu, Ling
1
2016
Isomorphy classes of involutions of \(\mathrm{SP}(2n,k)\), \(n>2\). Zbl 1342.20047
Benim, Robert W.; Helminck, Aloysius G.; Jackson Ward, Farrah
1
2015
Cauchy problems related to integrable deformations of pseudo differential operators. Zbl 1298.35259
Helminck, G. F.; Helminck, A. G.; Panasenko, E. A.
4
2014
On the structure of involutions and symmetric spaces of dihedral groups. Zbl 1336.20025
Cunningham, K. K. A.; Edgar, Tom; Helminck, A. G.; Jones, B. F.; Oh, H.; Schwell, R.; Vasquez, J. F.
1
2014
Infinite dimensional symmetric spaces and Lax equations compatible with the infinite Toda chain. Zbl 1302.37038
Helminck, G. F.; Helminck, A. G.
1
2014
Integrable deformations in the algebra of pseudodifferential operators from a Lie algebraic perspective. Zbl 1352.17030
Helminck, G. F.; Helminck, A. G.; Panasenko, E. A.
11
2013
Algorithms for twisted involutions in Weyl groups. Zbl 1254.20033
Haas, R.; Helminck, A. G.
1
2012
Admissible sequences for twisted involutions in Weyl groups. Zbl 1241.20053
Haas, Ruth; Helminck, Aloysius G.
2
2011
On generalized Cartan subspaces. Zbl 1235.43010
Helminck, Aloysius G.; Schwarz, Gerald W.
1
2011
The relative frame bundle of an infinite-dimensional flag variety and solutions of integrable hierarchies. Zbl 1253.37074
Helminck, G. F.; Helminck, A. G.; Opimakh, A. V.
4
2010
Real double coset spaces and their invariants. Zbl 1176.22007
Helminck, Aloysius G.; Schwarz, Gerald W.
2
2009
On the classification of orbits of symmetric subgroups acting on flag varieties of SL\((2, k)\). Zbl 1183.14067
Beun, Stacy L.; Helminck, Aloysius G.
1
2009
Algorithms for computations in local symmetric spaces. Zbl 1149.53033
Daniel, Jennifer R.; Helminck, Aloysius G.
1
2008
Algorithms for computing characters for symmetric spaces. Zbl 1132.53030
Gagliardi, Daniel; Helminck, Aloysius G.
3
2007
Computing the fine structure of real reductive symmetric spaces. Zbl 1130.53036
Daniel, Jennifer R.; Helminck, Aloysius G.
1
2007
Involutions of \(\text{SL}(n,k)\), (\(n>2\)). Zbl 1100.14040
Helminck, Aloysius G.; Wu, Ling; Dometrius, Christopher E.
6
2006
Implementing an algorithm for the twisted involution poset for Weyl groups. Zbl 1112.20033
Brenneman, Kathryn; Haas, Ruth; Helminck, Aloysius G.
2
2006
Multiplicity one for representations corresponding to spherical distribution vectors of class \(\rho\). Zbl 1146.22010
Helminck, Aloysius G.; Helminck, Gerardus F.
1
2005
Combinatorics related to orbit closures of symmetric subgroups in flag varieties. Zbl 1067.14050
Helminck, Aloysius G.
4
2004
Smoothness of quotients associated with a pair of commuting convolutions. Zbl 1099.20020
Helminck, Aloysius G.; Schwarz, Gerald W.
3
2004
Classification of involutions of \(\text{SL}(2,k)\). Zbl 1001.20044
Helminck, Aloysius G.; Wu, Ling
9
2002
Hilbert flag varieties and their Kähler structure. Zbl 1088.22012
Helminck, G. F.; Helminck, A. G.
2
2002
Spherical distribution vectors. Zbl 1050.22008
Helminck, Aloysius G.; Helminck, Gerardus F.
2
2002
Orbits and invariants associated with a pair of spherical varieties: some examples. Zbl 1053.20042
Helminck, Aloysius G.; Schwarz, Gerald W.
1
2002
Orbits and invariants associated with a pair of commuting involutions. Zbl 1015.20031
Helminck, Aloysius G.; Schwarz, Gerald W.
9
2001
On the classification of \(k\)-involutions. Zbl 0974.20033
Helminck, A. G.
13
2000
On orbit closures of symmetric subgroups in flag varieties. Zbl 0972.14039
Brion, Michel; Helminck, Aloysius G.
13
2000
Computing orbits of minimal parabolic \(k\)-subgroups acting on symmetric \(k\)-varieties. Zbl 0982.20031
Helminck, Aloysius G.
4
2000
A conjugacy theorem for symmetric spaces. Zbl 0926.22005
Helminck, A. G.; Hilgert, J.; Neumann, A.; Ólafsson, G.
3
1999
A class of parabolic \(k\)-subgroups associated with symmetric \(k\)-varieties. Zbl 0912.20041
Helminck, A. G.; Helminck, G. F.
16
1998
Tori invariant under an involutorial automorphism. II. Zbl 0911.20034
Helminck, A. G.
8
1997
Computing \(B\)-orbits on \(G/H\). Zbl 0851.68054
Helminck, A. G.
4
1996
Symmetric \(k\)-varieties. Zbl 0819.20048
Helminck, A. G.
6
1994
The structure of Hilbert flag varieties. Zbl 0836.22029
Helminck, Gerard F.; Helminck, Aloysius G.
3
1994
Holomorphic line bundles over Hilbert flag varieties. Zbl 0837.22012
Helminck, A. G.; Helminck, G. F.
2
1994
On rationality properties of involutions of reductive groups. Zbl 0788.22022
Helminck, A. G.; Wang, S. P.
56
1993
Tori invariant under an involutorial automorphism. I. Zbl 0731.20029
Helminck, A. G.
10
1991
On groups with a Cartan involution. Zbl 0809.20033
Helminck, A. G.
2
1991
On the orbits of symmetric spaces under the action of parabolic subgroups. Zbl 0694.14025
Helminck, A. G.
1
1989
Algebraic groups with a commuting pair of involutions and semisimple symmetric spaces. Zbl 0685.22007
Helminck, Aloysius G.
33
1988
Trilinear alternating forms on a vector space of dimension 7. Zbl 0646.15019
Cohen, Arjeh M.; Helminck, Aloysius G.
29
1988
all top 5

Cited by 159 Authors

25 Helminck, Aloysius G.
18 Helminck, Gerardus Franciscus
5 De Bruyn, Bart
5 Offen, Omer
4 Delorme, Patrick
4 Hora, Jan
4 Kwiatkowski, Mariusz
4 Panasenko, Elena A.
4 Smith, Jerrod Manford
3 Can, Mahir Bilen
3 Chuah, Meng-Kiat
3 Hutchens, John
3 Opimakh, A. V.
3 Polenkova, Svetlana V.
3 Schwarz, Gerald Walter
3 Shaw, Ron
2 Beuzart-Plessis, Raphaël
2 Buell, Catherine A.
2 Cardinali, Ilaria
2 Chiaselotti, Giampiero
2 Daniel, Jennifer Renee
2 Draisma, Jan
2 Geatti, Laura
2 Giuzzi, Luca
2 Glazebrook, James F.
2 Haas, Ruth
2 Hodge, Terrell L.
2 Huang, Jing-Song
2 Kato, Shin-ichi
2 Klima, Vicky W.
2 Köhl, Ralf
2 Lagier, Nathalie
2 Midoune, Noureddine
2 Murnaghan, Fiona
2 Nishiyama, Kyo
2 Noui, Lemnouar
2 Oliverio, Paolo Antonio
2 Omar, M. Rafiq
2 Poberezhny, V. A.
2 Pudlák, Pavel
2 Sato, Fumihiro
2 Schaefer, Jennifer B.
2 Schwartz, Nathaniel J.
2 Słowik, Roksana
2 Takano, Keiji
2 Wright, Carmen
2 Wu, Ling
2 Ziliak, Ellen
1 Adams, Jeffrey David
1 Allocca, Michael P.
1 Aschbacher, Michael George
1 Baba, Kurando
1 Barbasch, Dan M.
1 Benoist, Yves
1 Bermudez, Hernando
1 Beun, Stacy L.
1 Bisi, Cinzia
1 Blanc, Philippe
1 Broussous, Paul
1 Brown, Ronald
1 Brumley, Farrell
1 Carmona, Jacques
1 Carnovale, Giovanna
1 Chen, Tsao-Hsien
1 Chenevier, Gaëtan
1 Chommaux, Marion
1 Cohen, Arjeh Marcel
1 Colarusso, Mark
1 Collins, Joseph B.
1 Cuypers, Hans
1 De Commer, Kenny
1 Dometrius, Christopher E.
1 Draper, Cristina
1 Dupre, Maurice J.
1 Evens, Sam
1 Feigon, Brooke
1 Fresse, Lucas
1 Gagliardi, Daniel
1 Galetto, Federico
1 Garibaldi, Skip
1 Ghani, Neil
1 Glazer, Itay
1 Gorodski, Claudio
1 Graham, Jason M.
1 Gurevich, Maksim Isidorovich
1 Hakim, Jeffrey L.
1 He, Hongyu
1 He, Xuhua
1 Heyworth, Anne
1 Higson, Nigel
1 Hironaka, Yumiko
1 Horn, Max
1 Hou, Xin
1 Howe, Roger Evans
1 Huang, Huajun
1 Ikawa, Osamu
1 Joyce, Michael
1 Kac, Victor G.
1 Kim, Henry H.
1 Kuit, Job J.
...and 59 more Authors
all top 5

Cited in 62 Serials

13 Communications in Algebra
10 Journal of Algebra
8 Advances in Mathematics
7 Journal of Geometry and Physics
7 Linear Algebra and its Applications
5 Theoretical and Mathematical Physics
5 Mathematische Zeitschrift
5 Transactions of the American Mathematical Society
5 Acta Applicandae Mathematicae
5 Transformation Groups
4 Journal of Number Theory
3 Linear and Multilinear Algebra
3 Annales de l’Institut Fourier
3 Compositio Mathematica
3 Journal of Functional Analysis
3 Journal of Symbolic Computation
2 Duke Mathematical Journal
2 Journal of Combinatorial Theory. Series A
2 Journal of Geometry
2 Journal of Pure and Applied Algebra
2 Differential Geometry and its Applications
2 Algebra Colloquium
2 Representation Theory
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Journal of Mathematical Physics
1 Reports on Mathematical Physics
1 Beiträge zur Algebra und Geometrie
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Colloquium Mathematicum
1 Geometriae Dedicata
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Tohoku Mathematical Journal. Second Series
1 Transactions of the Moscow Mathematical Society
1 Note di Matematica
1 International Journal of Mathematics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Experimental Mathematics
1 Journal of Algebraic Combinatorics
1 Annales Mathématiques Blaise Pascal
1 Finite Fields and their Applications
1 Documenta Mathematica
1 Journal of Group Theory
1 Algebras and Representation Theory
1 Communications in Contemporary Mathematics
1 Advances in Geometry
1 Journal of Applied Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Algebra and its Applications
1 International Journal of Number Theory
1 Complex Analysis and Operator Theory
1 Advances in Mathematical Physics
1 Kyoto Journal of Mathematics
1 Carpathian Mathematical Publications
1 ISRN Combinatorics

Citations by Year