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## Ton-That, Tuong

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 Author ID: ton-that.tuong Published as: Ton That, Tuong; Ton-That, T.; Ton-That, Tuong
 Documents Indexed: 34 Publications since 1975, including 1 Book
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#### Co-Authors

 7 single-authored 19 Klink, William H. 3 Leung, Eric Y. 2 Gliske, S. 1 Aulwes, R. T. 1 Gross, Kenneth I. 1 Howe, R. Michael 1 Khots, Dmitry Borisovich 1 Kleinfeld, Erwin 1 Nelson, George C. 1 Richards, Donald St. P. 1 Sally, Paul J. jun. 1 Tran, Thai-Duong 1 Wills, Randall G.
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#### Serials

 7 Journal of Physics A: Mathematical and General 5 Acta Applicandae Mathematicae 3 Journal of Mathematical Physics 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 Proceedings of the American Mathematical Society 2 Note di Matematica 1 Helvetica Physica Acta 1 Journal of Computational Physics 1 Reports on Mathematical Physics 1 Journal of Algebra 1 Journal of Functional Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Ulam Quarterly 1 Revue d’Histoire des Mathématiques 1 Bulletin of the American Mathematical Society 1 Contemporary Mathematics
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#### Fields

 28 Topological groups, Lie groups (22-XX) 13 Quantum theory (81-XX) 6 Group theory and generalizations (20-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 3 Algebraic geometry (14-XX) 3 Nonassociative rings and algebras (17-XX) 2 Commutative algebra (13-XX) 2 Special functions (33-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH

19 Publications have been cited 52 times in 33 Documents Cited by Year
Calculation of Clebsch-Gordan and Recah coefficients using symbolic manipulation programs. Zbl 0677.33009
1989
Holomorphic induction and the tensor product decomposition of irreducible representations of compact groups. I: SU(n) groups. Zbl 0439.22020
1979
n-fold tensor products of GL(N,$${\mathbb{C}})$$ and decomposition of Fock spaces. Zbl 0682.22016
1989
On resolving the multiplicity of arbitrary tensor products of the U(N) groups. Zbl 0669.22007
1988
Algorithms for computing generalized $$\text{U}(N)$$ Racah coefficients. Zbl 1077.22025
Gliske, S.; Klink, W. H.; Ton-That, T.
2005
Poincaré’s proof of the so-called Birkhoff-Witt theorem. Zbl 0958.01012
Ton-That, Tuong; Tran, Thai-Duong
1999
Invariant theory of the block diagonal subgroups of $$GL(n,\mathbb{C})$$ and generalized Casimir operators. Zbl 0744.22013
1992
Matrix elements and highest weight Wigner coefficients of GL(n,C). Zbl 0488.22041
1982
Orthogonal polynomial bases for holomorphically induced representations of the general linear groups. Zbl 0439.22021
1979
On holomorphic representations of symplectic groups. Zbl 0312.22015
Ton-That, Tuong
1975
Algorithms for computing $$U(N)$$ Clebsch-Gordan coefficients. Zbl 1108.22013
Gliske, S.; Klink, W.; Ton-That, T.
2007
Invariant theory, generalized Casimir operators, and tensor product decompositions of $$U(N)$$. Zbl 1010.81033
Aulwes, R. T.; Klink, W. H.; Ton-That, T.
2001
Multiplicity, invariants and tensor product decompositions of tame representations of U$$(\infty)$$. Zbl 0970.22016
Howe, R. Michael; Ton-That, Tuong
2000
Sur la décomposition des produits tensoriels des représentations irréductibles de $$GL(k,C)$$. Zbl 0357.22009
Ton-That, Tuong
1977
Isotropy subgroups of transformation groups. Zbl 1138.57032
Khots, Dmitriy; Ton-That, Tuong
2008
Multiplicity, invariants, and tensor product decompositions of compact groups. Zbl 0863.22012
1996
Shift operators and the $$U(N)$$ multiplicity problem. Zbl 0848.22020
Klink, W. H.; Ton-That, Tuong; Wills, Randall G.
1993
Polynomial representations of the orthogonal groups. Zbl 0595.22018
1986
On a resolution of the multiplicity problem for U(n). Zbl 0572.22008
1984
Isotropy subgroups of transformation groups. Zbl 1138.57032
Khots, Dmitriy; Ton-That, Tuong
2008
Algorithms for computing $$U(N)$$ Clebsch-Gordan coefficients. Zbl 1108.22013
Gliske, S.; Klink, W.; Ton-That, T.
2007
Algorithms for computing generalized $$\text{U}(N)$$ Racah coefficients. Zbl 1077.22025
Gliske, S.; Klink, W. H.; Ton-That, T.
2005
Invariant theory, generalized Casimir operators, and tensor product decompositions of $$U(N)$$. Zbl 1010.81033
Aulwes, R. T.; Klink, W. H.; Ton-That, T.
2001
Multiplicity, invariants and tensor product decompositions of tame representations of U$$(\infty)$$. Zbl 0970.22016
Howe, R. Michael; Ton-That, Tuong
2000
Poincaré’s proof of the so-called Birkhoff-Witt theorem. Zbl 0958.01012
Ton-That, Tuong; Tran, Thai-Duong
1999
Multiplicity, invariants, and tensor product decompositions of compact groups. Zbl 0863.22012
1996
Shift operators and the $$U(N)$$ multiplicity problem. Zbl 0848.22020
Klink, W. H.; Ton-That, Tuong; Wills, Randall G.
1993
Invariant theory of the block diagonal subgroups of $$GL(n,\mathbb{C})$$ and generalized Casimir operators. Zbl 0744.22013
1992
Calculation of Clebsch-Gordan and Recah coefficients using symbolic manipulation programs. Zbl 0677.33009
1989
n-fold tensor products of GL(N,$${\mathbb{C}})$$ and decomposition of Fock spaces. Zbl 0682.22016
1989
On resolving the multiplicity of arbitrary tensor products of the U(N) groups. Zbl 0669.22007
1988
Polynomial representations of the orthogonal groups. Zbl 0595.22018
1986
On a resolution of the multiplicity problem for U(n). Zbl 0572.22008
1984
Matrix elements and highest weight Wigner coefficients of GL(n,C). Zbl 0488.22041
1982
Holomorphic induction and the tensor product decomposition of irreducible representations of compact groups. I: SU(n) groups. Zbl 0439.22020
1979
Orthogonal polynomial bases for holomorphically induced representations of the general linear groups. Zbl 0439.22021
1979
Sur la décomposition des produits tensoriels des représentations irréductibles de $$GL(k,C)$$. Zbl 0357.22009
Ton-That, Tuong
1977
On holomorphic representations of symplectic groups. Zbl 0312.22015
Ton-That, Tuong
1975
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#### Cited by 35 Authors

 13 Ton-That, Tuong 11 Klink, William H. 2 Gliske, S. 2 Rowe, David J. 2 Shtern, Aleksandr Isaakovich 1 Achilles, Rüdiger 1 Alex, Arne 1 Bahri, Carla 1 Boalch, Philip P. 1 Bonfiglioli, Andrea 1 Ding, Hongming 1 Doma, Salah B. 1 Domokos, Mátyás 1 Draeger, Thomas 1 Ginzburg, David 1 Grivel, Pierre-Paul 1 Hammad, M. M. 1 Howe, R. Michael 1 Howe, Roger Evans 1 Huckleberry, Alan Trinler 1 Ibort, Alberto 1 Kalus, Matthias 1 Kaplan, Eyal 1 Khots, Dmitry Borisovich 1 López-Yela, Alberto 1 Moro, Julio 1 Petracci, Emanuela 1 Prakash, J. S. 1 Rallis, Stephen James 1 Repka, Joe 1 Sharatchandra, H. S. 1 Soudry, David 1 Tokuyama, Takeshi 1 Tuong Ton-That 1 von Delft, Jan
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#### Cited in 18 Serials

 8 Journal of Mathematical Physics 5 Acta Applicandae Mathematicae 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 Journal of Algebra 2 Journal of Functional Analysis 1 Archive for History of Exact Sciences 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 Journal of Computational Physics 1 Bulletin de la Société Mathématique de France 1 Journal of Number Theory 1 Transactions of the American Mathematical Society 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Russian Journal of Mathematical Physics 1 Bulletin des Sciences Mathématiques 1 Proceedings of the Steklov Institute of Mathematics
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#### Cited in 17 Fields

 24 Topological groups, Lie groups (22-XX) 15 Quantum theory (81-XX) 6 Group theory and generalizations (20-XX) 6 Special functions (33-XX) 4 Nonassociative rings and algebras (17-XX) 3 Algebraic geometry (14-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Numerical analysis (65-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX)