Aloysius G Helminck

Works (31)

Updated: March 2nd, 2024 12:12

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), 383โ€“438.

By: R. Benim, C. Dometrius, A. Helminck & L. Wu

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. 293โ€“295.

By: R. Benim, A. Helminck & F. Ward

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, 196โ€“205.

By: G. Helminck*, A. Helminck n & E. Panasenko

co-author countries: Netherlands ๐Ÿ‡ณ๐Ÿ‡ฑ Russian Federation ๐Ÿ‡ท๐Ÿ‡บ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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, 60โ€“74.

By: G. Helminck & A. Helminck*

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), 134โ€“153.

By: G. Helminck*, A. Helminck n & E. Panasenko

co-author countries: Netherlands ๐Ÿ‡ณ๐Ÿ‡ฑ Russian Federation ๐Ÿ‡ท๐Ÿ‡บ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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. 263โ€“282.

By: R. Haasโ€‰* & A. Helminck n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: symmetric spaces; symbolic computation
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), 663โ€“675.

By: R. Haasโ€‰* & A. Helminck n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 847โ€“873.

By: G. Helminck*, A. Helminck n & A. Opimakh

co-author countries: Netherlands ๐Ÿ‡ณ๐Ÿ‡ฑ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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. 1755โ€“1781.

By: G. Helminck*, A. Helminck n & A. Opimakh

co-author countries: Netherlands ๐Ÿ‡ณ๐Ÿ‡ฑ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 783โ€“805.

By: A. Helminck n & G. Schwarz*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Web Of Science
Added: August 6, 2018

2010 article

On Orbit Decompositions for Symmetric k-Varieties

SYMMETRY AND SPACES, Vol. 278, pp. 83โ€“127.

By: A. Helminck n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 1610โ€“1636.

By: G. Helminck*, A. Helminck n & A. Opimakh*

co-author countries: Netherlands ๐Ÿ‡ณ๐Ÿ‡ฑ Russian Federation ๐Ÿ‡ท๐Ÿ‡บ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 1334โ€“1352.

By: S. Beun n & A. Helminck n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 219โ€“236.

By: A. Helminck n & G. Schwarz*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 1758โ€“1788.

By: J. Daniel & A. Helminck*

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. 339โ€“365.

By: D. Gagliardi* & A. Helminck n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 497โ€“510.

By: J. Daniel* & A. Helminck n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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. 91โ€“119.

By: A. Helminck n, L. Wu n & C. Dometrius*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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. 21โ€“48.

By: A. Helminck n & G. Helminck*

co-author countries: Netherlands ๐Ÿ‡ณ๐Ÿ‡ฑ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 945โ€“962.

By: A. Helminck n & G. Schwarz*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Web Of Science
Added: August 6, 2018

2002 journal article

Classification of involutions of SL(2, k)

COMMUNICATIONS IN ALGEBRA, 30(1), 193โ€“203.

By: A. Helminck n & L. Wu n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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. 8531โ€“8550.

By: G. Helminck* & A. Helminck n

co-author countries: Netherlands ๐Ÿ‡ณ๐Ÿ‡ฑ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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. 103โ€“113.

By: A. Helminck n & G. Schwarz*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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. 39โ€“57.

By: A. Helminck n & G. Helminck*

co-author countries: Netherlands ๐Ÿ‡ณ๐Ÿ‡ฑ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 237โ€“279.

By: A. Helminck* & G. Schwarz

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), 521โ€“553.

By: A. Helminck n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 265โ€“292.

By: M. Brion* & A. Helminck n

co-author countries: France ๐Ÿ‡ซ๐Ÿ‡ท United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Web Of Science
Added: August 6, 2018

2000 journal article

On the classification of k-involutions

ADVANCES IN MATHEMATICS, 153(1), 1โ€“117.

By: A. Helminck n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 785โ€“791.

By: A. Helminck n, J. Hilgert*, A. Neumam & G. Olafssonโ€‰*

co-author countries: Germany ๐Ÿ‡ฉ๐Ÿ‡ช United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 4669โ€“4691.

By: A. Helminck* & G. Helminck*

co-author countries: Netherlands ๐Ÿ‡ณ๐Ÿ‡ฑ
Source: Web Of Science
Added: August 6, 2018

1997 journal article

Tori invariant under an involutorial automorphism .2.

ADVANCES IN MATHEMATICS, 131(1), 1โ€“92.

By: A. Helminck n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Web Of Science
Added: August 6, 2018

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