Aloysius G Helminck
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Works (31)
2016 journal article
Isomorphy classes of involutions of SO(n, k, beta), n > 2
Isomorphy classes of involutions of SO(n, k, beta), n > 2. Journal of Lie Theory, 26(2), 383–438.
Source: NC State University Libraries
Added: August 6, 2018
2016 article
Isomorphy classes of involutions of SP(2n, k), n > 2 (vol 25, pg 903, 2015)
Isomorphy classes of involutions of SP(2n, k), n > 2 (vol 25, pg 903, 2015). Journal of Lie Theory, Vol. 26, pp. 293–295.
Source: NC State University Libraries
Added: August 6, 2018
2014 journal article
Cauchy problems related to integrable deformations of pseudo differential operators
JOURNAL OF GEOMETRY AND PHYSICS, 85, 196–205.
author keywords: Cauchy problem; Integrable deformation; Pseudo differential operators; (Strict) KP hierarchy; Zero curvature relations
Source: Web Of Science
Added: August 6, 2018
2014 journal article
Infinite dimensional symmetric spaces and Lax equations compatible with the infinite Toda chain
JOURNAL OF GEOMETRY AND PHYSICS, 85, 60–74.
author keywords: Lower triangular Z x Z-matrices; Lax equations; Zero curvature form; Linearization; Wave matrices
Source: Web Of Science
Added: August 6, 2018
2013 journal article
Integrable deformations in the algebra of pseudodifferential operators from a Lie algebraic perspective
THEORETICAL AND MATHEMATICAL PHYSICS, 174(1), 134–153.
author keywords: integrable deformation; pseudodifferential operator; Lax equation; Kadomtsev-Petviashvili hierarchy; zero-curvature relation; linearization
Source: Web Of Science
Added: August 6, 2018
2012 article
Algorithms for Twisted Involutions in Weyl Groups
Haas, R., & Helminck, A. G. (2012, June). ALGEBRA COLLOQUIUM, Vol. 19, pp. 263–282.
author keywords: symmetric spaces; symbolic computation
citeseerx.ist.psu.edu (repository)
Source: Web Of Science
Added: August 6, 2018
2011 journal article
Admissible Sequences for Twisted Involutions in Weyl Groups
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 54(4), 663–675.
Source: Web Of Science
Added: August 6, 2018
2011 journal article
Equivalent forms of multi component Toda hierarchies
JOURNAL OF GEOMETRY AND PHYSICS, 61(4), 847–873.
author keywords: Lower and upper triangular Z x Z-matrices; Infinite dimensional Cauchy problem; Lax equations; Zero curvature form; Bilinear form
Source: Web Of Science
Added: August 6, 2018
2011 article
Equivalent forms of multi component Toda hierarchies (Reprinted from JOURNAL OF GEOMETRY AND PHYSICS, vol 61, pg 847, 2011)
Helminck, G. F., Helminck, A. G., & Opimakh, A. V. (2011, September). JOURNAL OF GEOMETRY AND PHYSICS, Vol. 61, pp. 1755–1781.
author keywords: Lower and upper triangular Z x Z-matrices; Infinite dimensional Cauchy problem; Lax equations; Zero curvature form; Bilinear form
Source: Web Of Science
Added: August 6, 2018
2011 journal article
On generalized Cartan subspaces
TRANSFORMATION GROUPS, 16(3), 783–805.
Source: Web Of Science
Added: August 6, 2018
2010 article
On Orbit Decompositions for Symmetric k-Varieties
SYMMETRY AND SPACES, Vol. 278, pp. 83–127.
author keywords: Symmetric spaces; symmetric varieties; involutions of algebraic groups
Source: Web Of Science
Added: August 6, 2018
2010 journal article
THE RELATIVE FRAME BUNDLE OF AN INFINITE-DIMENSIONAL FLAG VARIETY AND SOLUTIONS OF INTEGRABLE HIERARCHIES
THEORETICAL AND MATHEMATICAL PHYSICS, 165(3), 1610–1636.
author keywords: upper-triangular Z x Z matrices; Lax equations; zero curvature form
Source: Web Of Science
Added: August 6, 2018
2009 journal article
On the Classification of Orbits of Symmetric Subgroups Acting on Flag Varieties of SL(2, k)
COMMUNICATIONS IN ALGEBRA, 37(4), 1334–1352.
author keywords: k-split tori; Minimal parabolic subgroups; p-adic numbers; Symmetric k-varieties; Symmetric spaces
Source: Web Of Science
Added: August 6, 2018
2009 journal article
Real double coset spaces and their invariants
JOURNAL OF ALGEBRA, 322(1), 219–236.
author keywords: Symmetric spaces; Symmetric varieties; Cartan subspaces
Source: Web Of Science
Added: August 6, 2018
2008 journal article
Algorithms for computations in local symmetric spaces
COMMUNICATIONS IN ALGEBRA, 36(5), 1758–1788.
author keywords: Lie algebras of linear algebraic groups; symmetric spaces
Source: Web Of Science
Added: August 6, 2018
2007 article
Algorithms for computing characters for symmetric spaces
Gagliardi, D., & Helminck, A. G. (2007, December). ACTA APPLICANDAE MATHEMATICAE, Vol. 99, pp. 339–365.
author keywords: symmetric spaces; Lie algebras of linear algebraic groups
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Computing the fine structure of real reductive symmetric spaces
JOURNAL OF SYMBOLIC COMPUTATION, 42(5), 497–510.
author keywords: symmetric spaces; Lie algebras of linear algebraic groups; computational Lie theory
Source: Web Of Science
Added: August 6, 2018
2006 article
Involutions of SL(n,k), (n < 2)
Helminck, A. G., Wu, L., & Dometrius, C. E. (2006, January). Involutions of SL(n,k), (n < 2). ACTA APPLICANDAE MATHEMATICAE, Vol. 90, pp. 91–119.
author keywords: flag variety; symmetric subgroup
Source: Web Of Science
Added: August 6, 2018
2005 article
Multiplicity one for representations corresponding to spherical distribution vectors of class rho
Helminck, A. G., & Helminck, G. F. (2005, March). ACTA APPLICANDAE MATHEMATICAE, Vol. 86, pp. 21–48.
author keywords: Hilbert subspace; distribution vector; spherical distribution; Plancherel formula
Source: Web Of Science
Added: August 6, 2018
2004 journal article
Smoothness of quotients associated with a pair of commuting involutions
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 56(5), 945–962.
Source: Web Of Science
Added: August 6, 2018
2002 journal article
Classification of involutions of SL(2, k)
COMMUNICATIONS IN ALGEBRA, 30(1), 193–203.
Source: Web Of Science
Added: August 6, 2018
2002 article
Hilbert flag varieties and their Kahler structure
Helminck, G. F., & Helminck, A. G. (2002, October 11). JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol. 35, pp. 8531–8550.
Source: Web Of Science
Added: August 6, 2018
2002 article
Orbits and invariants associated with a pair of spherical varieties: Some examples
Helminck, A. G., & Schwarz, G. W. (2002, August). ACTA APPLICANDAE MATHEMATICAE, Vol. 73, pp. 103–113.
author keywords: symmetric variety; symmetric subgroup; spherical subgroup
Source: Web Of Science
Added: August 6, 2018
2002 article
Spherical distribution vectors
Helminck, A. G., & Helminck, G. F. (2002, August). ACTA APPLICANDAE MATHEMATICAE, Vol. 73, pp. 39–57.
author keywords: Hilbert subspace; distribution vector; spherical distribution; Plancherel formula
Source: Web Of Science
Added: August 6, 2018
2001 journal article
Orbits and invariants associated with a pair of commuting involutions
DUKE MATHEMATICAL JOURNAL, 106(2), 237–279.
Source: Web Of Science
Added: August 6, 2018
2000 journal article
Computing orbits of minimal parabolic k-subgroups acting on symmetric k-varieties
JOURNAL OF SYMBOLIC COMPUTATION, 30(5), 521–553.
Source: Web Of Science
Added: August 6, 2018
2000 journal article
On orbit closures of symmetric subgroups in flag varieties
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 52(2), 265–292.
Source: Web Of Science
Added: August 6, 2018
2000 journal article
On the classification of k-involutions
ADVANCES IN MATHEMATICS, 153(1), 1–117.
author keywords: symmetric spaces; symmetric varieties; k-involutions
Source: Web Of Science
Added: August 6, 2018
1999 journal article
A conjugacy theorem for symmetric spaces
MATHEMATISCHE ANNALEN, 313(4), 785–791.
Source: Web Of Science
Added: August 6, 2018
1998 journal article
A class of parabolic k-subgroups associated with symmetric k-varieties
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 350(11), 4669–4691.
Source: Web Of Science
Added: August 6, 2018
1997 journal article
Tori invariant under an involutorial automorphism .2.
ADVANCES IN MATHEMATICS, 131(1), 1–92.
Source: Web Of Science
Added: August 6, 2018
