On rationality properties of involutions of reductive groups. Zbl 0788.22022
Helminck, A. G.; Wang, S. P. |
|
1993
|
Trilinear alternating forms on a vector space of dimension 7. Zbl 0646.15019
Cohen, Arjeh M.; Helminck, Aloysius G. |
|
1988
|
Algebraic groups with a commuting pair of involutions and semisimple symmetric spaces. Zbl 0685.22007
Helminck, Aloysius G. |
|
1988
|
On the classification of \(k\)-involutions. Zbl 0974.20033
Helminck, A. G. |
|
2000
|
On orbit closures of symmetric subgroups in flag varieties. Zbl 0972.14039
Brion, Michel; Helminck, Aloysius G. |
|
2000
|
A class of parabolic \(k\)-subgroups associated with symmetric \(k\)-varieties. Zbl 0912.20041
Helminck, A. G.; Helminck, G. F. |
|
1998
|
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. |
|
2013
|
Classification of involutions of \(\text{SL}(2,k)\). Zbl 1001.20044
Helminck, Aloysius G.; Wu, Ling |
|
2002
|
Involutions of \(\text{SL}(n,k)\), (\(n>2\)). Zbl 1100.14040
Helminck, Aloysius G.; Wu, Ling; Dometrius, Christopher E. |
|
2006
|
Tori invariant under an involutorial automorphism. I. Zbl 0731.20029
Helminck, A. G. |
|
1991
|
Tori invariant under an involutorial automorphism. II. Zbl 0911.20034
Helminck, A. G. |
|
1997
|
Orbits and invariants associated with a pair of commuting involutions. Zbl 1015.20031
Helminck, Aloysius G.; Schwarz, Gerald W. |
|
2001
|
Symmetric \(k\)-varieties. Zbl 0819.20048
Helminck, A. G. |
|
1994
|
Combinatorics related to orbit closures of symmetric subgroups in flag varieties. Zbl 1067.14050
Helminck, Aloysius G. |
|
2004
|
Cauchy problems related to integrable deformations of pseudo differential operators. Zbl 1298.35259
Helminck, G. F.; Helminck, A. G.; Panasenko, E. A. |
|
2014
|
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. |
|
2009
|
Computing \(B\)-orbits on \(G/H\). Zbl 0851.68054
Helminck, A. G. |
|
1996
|
Real double coset spaces and their invariants. Zbl 1176.22007
Helminck, Aloysius G.; Schwarz, Gerald W. |
|
2009
|
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. |
|
2010
|
Computing orbits of minimal parabolic \(k\)-subgroups acting on symmetric \(k\)-varieties. Zbl 0982.20031
Helminck, Aloysius G. |
|
2000
|
Smoothness of quotients associated with a pair of commuting convolutions. Zbl 1099.20020
Helminck, Aloysius G.; Schwarz, Gerald W. |
|
2004
|
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. |
|
2017
|
Algorithms for computing characters for symmetric spaces. Zbl 1132.53030
Gagliardi, Daniel; Helminck, Aloysius G. |
|
2007
|
On groups with a Cartan involution. Zbl 0809.20033
Helminck, A. G. |
|
1991
|
The structure of Hilbert flag varieties. Zbl 0836.22029
Helminck, Gerard F.; Helminck, Aloysius G. |
|
1994
|
Spherical distribution vectors. Zbl 1050.22008
Helminck, Aloysius G.; Helminck, Gerardus F. |
|
2002
|
A conjugacy theorem for symmetric spaces. Zbl 0926.22005
Helminck, A. G.; Hilgert, J.; Neumann, A.; Ólafsson, G. |
|
1999
|
Algorithms for twisted involutions in Weyl groups. Zbl 1254.20033
Haas, R.; Helminck, A. G. |
|
2012
|
Admissible sequences for twisted involutions in Weyl groups. Zbl 1241.20053
Haas, Ruth; Helminck, Aloysius G. |
|
2011
|
Multiplicity one for representations corresponding to spherical distribution vectors of class \(\rho\). Zbl 1146.22010
Helminck, Aloysius G.; Helminck, Gerardus F. |
|
2005
|
On the orbits of symmetric spaces under the action of parabolic subgroups. Zbl 0694.14025
Helminck, A. G. |
|
1989
|
Algorithms for computations in local symmetric spaces. Zbl 1149.53033
Daniel, Jennifer R.; Helminck, Aloysius G. |
|
2008
|
Holomorphic line bundles over Hilbert flag varieties. Zbl 0837.22012
Helminck, A. G.; Helminck, G. F. |
|
1994
|
Orbits and invariants associated with a pair of spherical varieties: some examples. Zbl 1053.20042
Helminck, Aloysius G.; Schwarz, Gerald W. |
|
2002
|
Hilbert flag varieties and their Kähler structure. Zbl 1088.22012
Helminck, G. F.; Helminck, A. G. |
|
2002
|
Implementing an algorithm for the twisted involution poset for Weyl groups. Zbl 1112.20033
Brenneman, Kathryn; Haas, Ruth; Helminck, Aloysius G. |
|
2006
|
Permutation notations for the exceptional Weyl group \(F_4\). Zbl 1259.20056
Cahn, Patricia; Haas, Ruth; Helminck, Aloysius G.; Li, Juan; Schwartz, Jeremy |
|
2012
|
Isomorphy classes of involutions of \(\mathrm{SP}(2n,k)\), \(n>2\). Zbl 1342.20047
Benim, Robert W.; Helminck, Aloysius G.; Jackson Ward, Farrah |
|
2015
|
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 |
|
2016
|
Infinite dimensional symmetric spaces and Lax equations compatible with the infinite Toda chain. Zbl 1302.37038
Helminck, G. F.; Helminck, A. G. |
|
2014
|
On orbit decompositions for symmetric \(k\)-varieties. Zbl 1244.14038
Helminck, A. G. |
|
2010
|
On generalized Cartan subspaces. Zbl 1235.43010
Helminck, Aloysius G.; Schwarz, Gerald W. |
|
2011
|
Computing the fine structure of real reductive symmetric spaces. Zbl 1130.53036
Daniel, Jennifer R.; Helminck, Aloysius G. |
|
2007
|
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. |
|
2014
|
On the structure of generalized symmetric spaces of \(\operatorname{SL}_n(\mathbb{F}_q)\). Zbl 1434.20032
Buell, C.; Helminck, A.; Klima, Vicky W.; Schaefer, Jennifer B.; Wright, C.; Ziliak, E. |
|
2017
|
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. |
|
2017
|
On the structure of generalized symmetric spaces of \(\operatorname{SL}_n(\mathbb{F}_q)\). Zbl 1434.20032
Buell, C.; Helminck, A.; Klima, Vicky W.; Schaefer, Jennifer B.; Wright, C.; Ziliak, E. |
|
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 |
|
2016
|
Isomorphy classes of involutions of \(\mathrm{SP}(2n,k)\), \(n>2\). Zbl 1342.20047
Benim, Robert W.; Helminck, Aloysius G.; Jackson Ward, Farrah |
|
2015
|
Cauchy problems related to integrable deformations of pseudo differential operators. Zbl 1298.35259
Helminck, G. F.; Helminck, A. G.; Panasenko, E. A. |
|
2014
|
Infinite dimensional symmetric spaces and Lax equations compatible with the infinite Toda chain. Zbl 1302.37038
Helminck, G. F.; Helminck, A. G. |
|
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. |
|
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. |
|
2013
|
Algorithms for twisted involutions in Weyl groups. Zbl 1254.20033
Haas, R.; Helminck, A. G. |
|
2012
|
Permutation notations for the exceptional Weyl group \(F_4\). Zbl 1259.20056
Cahn, Patricia; Haas, Ruth; Helminck, Aloysius G.; Li, Juan; Schwartz, Jeremy |
|
2012
|
Admissible sequences for twisted involutions in Weyl groups. Zbl 1241.20053
Haas, Ruth; Helminck, Aloysius G. |
|
2011
|
On generalized Cartan subspaces. Zbl 1235.43010
Helminck, Aloysius G.; Schwarz, Gerald W. |
|
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. |
|
2010
|
On orbit decompositions for symmetric \(k\)-varieties. Zbl 1244.14038
Helminck, A. G. |
|
2010
|
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. |
|
2009
|
Real double coset spaces and their invariants. Zbl 1176.22007
Helminck, Aloysius G.; Schwarz, Gerald W. |
|
2009
|
Algorithms for computations in local symmetric spaces. Zbl 1149.53033
Daniel, Jennifer R.; Helminck, Aloysius G. |
|
2008
|
Algorithms for computing characters for symmetric spaces. Zbl 1132.53030
Gagliardi, Daniel; Helminck, Aloysius G. |
|
2007
|
Computing the fine structure of real reductive symmetric spaces. Zbl 1130.53036
Daniel, Jennifer R.; Helminck, Aloysius G. |
|
2007
|
Involutions of \(\text{SL}(n,k)\), (\(n>2\)). Zbl 1100.14040
Helminck, Aloysius G.; Wu, Ling; Dometrius, Christopher E. |
|
2006
|
Implementing an algorithm for the twisted involution poset for Weyl groups. Zbl 1112.20033
Brenneman, Kathryn; Haas, Ruth; Helminck, Aloysius G. |
|
2006
|
Multiplicity one for representations corresponding to spherical distribution vectors of class \(\rho\). Zbl 1146.22010
Helminck, Aloysius G.; Helminck, Gerardus F. |
|
2005
|
Combinatorics related to orbit closures of symmetric subgroups in flag varieties. Zbl 1067.14050
Helminck, Aloysius G. |
|
2004
|
Smoothness of quotients associated with a pair of commuting convolutions. Zbl 1099.20020
Helminck, Aloysius G.; Schwarz, Gerald W. |
|
2004
|
Classification of involutions of \(\text{SL}(2,k)\). Zbl 1001.20044
Helminck, Aloysius G.; Wu, Ling |
|
2002
|
Spherical distribution vectors. Zbl 1050.22008
Helminck, Aloysius G.; Helminck, Gerardus F. |
|
2002
|
Orbits and invariants associated with a pair of spherical varieties: some examples. Zbl 1053.20042
Helminck, Aloysius G.; Schwarz, Gerald W. |
|
2002
|
Hilbert flag varieties and their Kähler structure. Zbl 1088.22012
Helminck, G. F.; Helminck, A. G. |
|
2002
|
Orbits and invariants associated with a pair of commuting involutions. Zbl 1015.20031
Helminck, Aloysius G.; Schwarz, Gerald W. |
|
2001
|
On the classification of \(k\)-involutions. Zbl 0974.20033
Helminck, A. G. |
|
2000
|
On orbit closures of symmetric subgroups in flag varieties. Zbl 0972.14039
Brion, Michel; Helminck, Aloysius G. |
|
2000
|
Computing orbits of minimal parabolic \(k\)-subgroups acting on symmetric \(k\)-varieties. Zbl 0982.20031
Helminck, Aloysius G. |
|
2000
|
A conjugacy theorem for symmetric spaces. Zbl 0926.22005
Helminck, A. G.; Hilgert, J.; Neumann, A.; Ólafsson, G. |
|
1999
|
A class of parabolic \(k\)-subgroups associated with symmetric \(k\)-varieties. Zbl 0912.20041
Helminck, A. G.; Helminck, G. F. |
|
1998
|
Tori invariant under an involutorial automorphism. II. Zbl 0911.20034
Helminck, A. G. |
|
1997
|
Computing \(B\)-orbits on \(G/H\). Zbl 0851.68054
Helminck, A. G. |
|
1996
|
Symmetric \(k\)-varieties. Zbl 0819.20048
Helminck, A. G. |
|
1994
|
The structure of Hilbert flag varieties. Zbl 0836.22029
Helminck, Gerard F.; Helminck, Aloysius G. |
|
1994
|
Holomorphic line bundles over Hilbert flag varieties. Zbl 0837.22012
Helminck, A. G.; Helminck, G. F. |
|
1994
|
On rationality properties of involutions of reductive groups. Zbl 0788.22022
Helminck, A. G.; Wang, S. P. |
|
1993
|
Tori invariant under an involutorial automorphism. I. Zbl 0731.20029
Helminck, A. G. |
|
1991
|
On groups with a Cartan involution. Zbl 0809.20033
Helminck, A. G. |
|
1991
|
On the orbits of symmetric spaces under the action of parabolic subgroups. Zbl 0694.14025
Helminck, A. G. |
|
1989
|
Trilinear alternating forms on a vector space of dimension 7. Zbl 0646.15019
Cohen, Arjeh M.; Helminck, Aloysius G. |
|
1988
|
Algebraic groups with a commuting pair of involutions and semisimple symmetric spaces. Zbl 0685.22007
Helminck, Aloysius G. |
|
1988
|