Khots, Dmitriy; Ton-That, Tuong Isotropy subgroups of transformation groups. (English) Zbl 1138.57032 Acta Appl. Math. 100, No. 3, 269-289 (2008). Reviewer: Robert A. Wolak (Kraków) MSC: 57S25 14M15 14M17 PDFBibTeX XMLCite \textit{D. Khots} and \textit{T. Ton-That}, Acta Appl. Math. 100, No. 3, 269--289 (2008; Zbl 1138.57032) Full Text: DOI
Gliske, S.; Klink, W.; Ton-That, T. Algorithms for computing \(U(N)\) Clebsch-Gordan coefficients. (English) Zbl 1108.22013 Acta Appl. Math. 95, No. 1, 51-72 (2007). MSC: 22E70 81R05 81R40 PDFBibTeX XMLCite \textit{S. Gliske} et al., Acta Appl. Math. 95, No. 1, 51--72 (2007; Zbl 1108.22013) Full Text: DOI
Nelson, George C.; Ton-That, Tuong Multiplicatively closed bases for \(C(A)\). (English) Zbl 1195.15017 Note Mat. 26, No. 2, 81-104 (2006). MSC: 15A30 15A21 PDFBibTeX XMLCite \textit{G. C. Nelson} and \textit{T. Ton-That}, Note Mat. 26, No. 2, 81--104 (2006; Zbl 1195.15017) Full Text: DOI
Gliske, S.; Klink, W. H.; Ton-That, T. Algorithms for computing generalized \(\text{U}(N)\) Racah coefficients. (English) Zbl 1077.22025 Acta Appl. Math. 88, No. 2, 229-249 (2005). MSC: 22E70 81R05 81R40 PDFBibTeX XMLCite \textit{S. Gliske} et al., Acta Appl. Math. 88, No. 2, 229--249 (2005; Zbl 1077.22025) Full Text: DOI
Ton-That, Tuong Poincaré-Birkhoff-Witt theorems and generalized Casimir invariants for some infinite-dimensional Lie groups. II. (English) Zbl 1059.22022 J. Phys. A, Math. Gen. 38, No. 4, 907-919 (2005). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 22E65 81R10 PDFBibTeX XMLCite \textit{T. Ton-That}, J. Phys. A, Math. Gen. 38, No. 4, 907--919 (2005; Zbl 1059.22022) Full Text: DOI
Kleinfeld, Erwin; Ton-That, Tuong An analytic proof of the theorems of Pappus and Desargues. (English) Zbl 1188.51002 Note Mat. 22(2003-2004), No. 1, 99-106 (2004). MSC: 51A30 51A05 PDFBibTeX XMLCite \textit{E. Kleinfeld} and \textit{T. Ton-That}, Note Mat. 22, No. 1, 99--106 (2003; Zbl 1188.51002) Full Text: DOI
Aulwes, R. T.; Klink, W. H.; Ton-That, T. Invariant theory, generalized Casimir operators, and tensor product decompositions of \(U(N)\). (English) Zbl 1010.81033 J. Phys. A, Math. Gen. 34, No. 40, 8237-8257 (2001). Reviewer: Alexander V.Gemintern (Haifa) MSC: 81R05 17B10 22E70 PDFBibTeX XMLCite \textit{R. T. Aulwes} et al., J. Phys. A, Math. Gen. 34, No. 40, 8237--8257 (2001; Zbl 1010.81033) Full Text: DOI
Howe, R. Michael; Ton-That, Tuong Multiplicity, invariants and tensor product decompositions of tame representations of U\((\infty)\). (English) Zbl 0970.22016 J. Math. Phys. 41, No. 2, 991-1015 (2000). Reviewer: S.Platonov (Petrozavodsk) MSC: 22E65 33C80 81R05 PDFBibTeX XMLCite \textit{R. M. Howe} and \textit{T. Ton-That}, J. Math. Phys. 41, No. 2, 991--1015 (2000; Zbl 0970.22016) Full Text: DOI arXiv
Ton-That, Tuong Reciprocity theorems for holomorphic representations of some infinite-dimensional groups. (English) Zbl 0957.22014 Helv. Phys. Acta 72, No. 4, 221-249 (1999). Reviewer: Genkai Zhang (Göteburg) MSC: 22E46 22E65 PDFBibTeX XMLCite \textit{T. Ton-That}, Helv. Phys. Acta 72, No. 4, 221--249 (1999; Zbl 0957.22014) Full Text: arXiv
Ton-That, Tuong; Tran, Thai-Duong Poincaré’s proof of the so-called Birkhoff-Witt theorem. (English) Zbl 0958.01012 Rev. Hist. Math. 5, No. 2, 249-284 (1999). Reviewer: James J.Cross (Parkville) MSC: 01A60 17-03 01A55 17B35 PDFBibTeX XMLCite \textit{T. Ton-That} and \textit{T.-D. Tran}, Rev. Hist. Math. 5, No. 2, 249--284 (1999; Zbl 0958.01012) Full Text: arXiv
Ton-That, Tuong Poincaré-Birkhoff-Witt theorems and generalized Casimir invariants for some infinite-dimensional Lie groups. I. (English) Zbl 0939.22010 J. Phys. A, Math. Gen. 32, No. 32, 5975-5991 (1999). Reviewer: S.Platonov (Petrozavodsk) MSC: 22E65 81R10 PDFBibTeX XMLCite \textit{T. Ton-That}, J. Phys. A, Math. Gen. 32, No. 32, 5975--5991 (1999; Zbl 0939.22010) Full Text: DOI
Klink, W. H.; Ton-That, T. Multiplicity, invariants, and tensor product decompositions of compact groups. (English) Zbl 0863.22012 J. Math. Phys. 37, No. 12, 6468-6485 (1996). Reviewer: G.Loupias (Montpellier) MSC: 22E70 81R05 22C05 PDFBibTeX XMLCite \textit{W. H. Klink} and \textit{T. Ton-That}, J. Math. Phys. 37, No. 12, 6468--6485 (1996; Zbl 0863.22012) Full Text: DOI
Ton-That, Tuong Dual representations and invariant theory. (English) Zbl 0839.22014 Gross, Kenneth I. (ed.) et al., Representation theory and harmonic analysis. A conference in honor of Ray A. Kunze, January 12-14, 1994, Cincinnati, OH, USA. Providence, RI: American Mathematical Society. Contemp. Math. 191, 205-221 (1995). Reviewer: G.E.Wall (Sydney) MSC: 22E45 15A72 14L35 PDFBibTeX XMLCite \textit{T. Ton-That}, Contemp. Math. 191, 205--221 (1995; Zbl 0839.22014)
Gross, Kenneth I. (ed.); Richards, Donald St. P. (ed.); Sally, Paul J. jun. (ed.); Ton-That, Tuong (ed.) Representation theory and harmonic analysis. A conference in honor of Ray A. Kunze, January 12-14, 1994, Cincinnati, OH, USA. (English) Zbl 0827.00039 Contemporary Mathematics. 191. Providence, RI: American Mathematical Society (AMS). xii, 254 p. (1995). MSC: 00B25 22-06 43-06 PDFBibTeX XMLCite \textit{K. I. Gross} (ed.) et al., Representation theory and harmonic analysis. A conference in honor of Ray A. Kunze, January 12-14, 1994, Cincinnati, OH, USA. Providence, RI: American Mathematical Society (1995; Zbl 0827.00039) Full Text: DOI
Leung, Eric Y.; Ton-That, Tuong On a multiplicity formula of weights of representations of \(SO^* (2n)\) and reciprocity theorems for symplectic groups. (English) Zbl 0862.22014 Proc. Am. Math. Soc. 123, No. 4, 1281-1288 (1995). Reviewer: E.G.Dunne (Stillwater) MSC: 22E46 22E45 PDFBibTeX XMLCite \textit{E. Y. Leung} and \textit{T. Ton-That}, Proc. Am. Math. Soc. 123, No. 4, 1281--1288 (1995; Zbl 0862.22014) Full Text: DOI
Klink, W. H.; Leung, E. Y.; Ton-That, T. Casimir operators of semidirect products of semisimple with Heisenberg groups. (English) Zbl 0874.22013 J. Phys. A, Math. Gen. 28, No. 23, 6857-6875 (1995). Reviewer: G.Roepstorff (Aachen) MSC: 22E46 81R05 PDFBibTeX XMLCite \textit{W. H. Klink} et al., J. Phys. A, Math. Gen. 28, No. 23, 6857--6875 (1995; Zbl 0874.22013) Full Text: DOI
Leung, Eric Y.; Ton-That, Tuong Invariant theory of the dual pairs \((SO^*(2n),Sp(2k,\mathbb{C}))\) and \((Sp(2n,\mathbb{R}),O(N))\). (English) Zbl 0796.22006 Proc. Am. Math. Soc. 120, No. 1, 53-65 (1994). Reviewer: Yang Yingchen (Beijing) MSC: 22E45 15A72 22E60 PDFBibTeX XMLCite \textit{E. Y. Leung} and \textit{T. Ton-That}, Proc. Am. Math. Soc. 120, No. 1, 53--65 (1994; Zbl 0796.22006) Full Text: DOI
Klink, W. H.; Ton-That, Tuong; Wills, Randall G. Shift operators and the \(U(N)\) multiplicity problem. (English) Zbl 0848.22020 J. Phys. A, Math. Gen. 26, No. 13, 3229-3242 (1993). MSC: 22E46 22E70 PDFBibTeX XMLCite \textit{W. H. Klink} et al., J. Phys. A, Math. Gen. 26, No. 13, 3229--3242 (1993; Zbl 0848.22020) Full Text: DOI
Klink, W. H.; Ton That, Tuong Duality in representation theory. (English) Zbl 0848.22019 Ulam Q. 1, No. 1, 9 p (1992). MSC: 22E46 22E70 PDFBibTeX XML
Klink, W. H.; Ton-That, Tuong Invariant theory of the block diagonal subgroups of \(GL(n,\mathbb{C})\) and generalized Casimir operators. (English) Zbl 0744.22013 J. Algebra 145, No. 1, 187-203 (1992). Reviewer: P.Hillion (Le Vesinet) MSC: 22E45 20G20 81R05 14L30 22E70 15A72 PDFBibTeX XMLCite \textit{W. H. Klink} and \textit{T. Ton-That}, J. Algebra 145, No. 1, 187--203 (1992; Zbl 0744.22013) Full Text: DOI
Klink, W. H.; Ton-That, Tuong The Schur-Weyl duality and its generalizations in group representations. (English) Zbl 0940.20501 Li, Zhong (ed.) et al., Proceedings of the Asian mathematical conference 1990, Hong Kong, August 14-18, 1990. Singapore: World Scientific. 253-257 (1992). MSC: 20C15 PDFBibTeX XMLCite \textit{W. H. Klink} and \textit{T. Ton-That}, in: Proceedings of the Asian mathematical conference 1990, Hong Kong, August 14--18, 1990. Singapore: World Scientific. 253--257 (1992; Zbl 0940.20501)
Klink, W. H.; Ton-That, Tuong Representations of \(S_ n\times U(N)\) in repeated tensor products of the unitary groups. (English) Zbl 0728.17008 J. Phys. A, Math. Gen. 23, No. 13, 2751-2763 (1990). Reviewer: E.Kryachko (Cagliari) MSC: 17B37 PDFBibTeX XMLCite \textit{W. H. Klink} and \textit{T. Ton-That}, J. Phys. A, Math. Gen. 23, No. 13, 2751--2763 (1990; Zbl 0728.17008) Full Text: DOI
Klink, W. H.; Ton-That, Tuong n-fold tensor products of GL(N,\({\mathbb{C}})\) and decomposition of Fock spaces. (English) Zbl 0682.22016 J. Funct. Anal. 84, No. 1, 1-18 (1989). Reviewer: P.Hillion MSC: 22E70 20G45 32M05 22E47 PDFBibTeX XMLCite \textit{W. H. Klink} and \textit{T. Ton-That}, J. Funct. Anal. 84, No. 1, 1--18 (1989; Zbl 0682.22016) Full Text: DOI
Klink, W. H.; Ton-That, Tuong Calculation of Clebsch-Gordan and Recah coefficients using symbolic manipulation programs. (English) Zbl 0677.33009 J. Comput. Phys. 80, No. 2, 453-471 (1989). Reviewer: B.Richter MSC: 33C80 22E70 68W30 PDFBibTeX XMLCite \textit{W. H. Klink} and \textit{T. Ton-That}, J. Comput. Phys. 80, No. 2, 453--471 (1989; Zbl 0677.33009) Full Text: DOI
Klink, W. H.; Ton-That, T. On resolving the multiplicity of arbitrary tensor products of the U(N) groups. (English) Zbl 0669.22007 J. Phys. A 21, No. 20, 3877-3892 (1988). Reviewer: R.Fabec MSC: 22E70 20C35 81T60 PDFBibTeX XMLCite \textit{W. H. Klink} and \textit{T. Ton-That}, J. Phys. A, Math. Gen. 21, No. 20, 3877--3892 (1988; Zbl 0669.22007) Full Text: DOI
Klink, W. H.; Ton-That, T. Polynomial representations of the symplectic groups. (English) Zbl 0625.22017 Acta Appl. Math. 9, 137-163 (1987). Reviewer: P.Hillion MSC: 22E70 22E45 81R10 22C05 PDFBibTeX XMLCite \textit{W. H. Klink} and \textit{T. Ton-That}, Acta Appl. Math. 9, 137--163 (1987; Zbl 0625.22017) Full Text: DOI
Klink, William H.; Ton-That, Tuong Polynomial representations of the orthogonal groups. (English) Zbl 0595.22018 Acta Appl. Math. 6, 219-273 (1986). Reviewer: P.Hillion MSC: 22E70 81R10 20C35 22E45 PDFBibTeX XMLCite \textit{W. H. Klink} and \textit{T. Ton-That}, Acta Appl. Math. 6, 219--273 (1986; Zbl 0595.22018) Full Text: DOI
Klink, William H.; Ton-That, Tuong On a resolution of the multiplicity problem for U(n). (English) Zbl 0572.22008 Rep. Math. Phys. 19, 345-348 (1984). MSC: 22E70 PDFBibTeX XMLCite \textit{W. H. Klink} and \textit{T. Ton-That}, Rep. Math. Phys. 19, 345--348 (1984; Zbl 0572.22008) Full Text: DOI
Klink, W. H.; Ton-That, T. Matrix elements and highest weight Wigner coefficients of GL(n,C). (English) Zbl 0488.22041 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 36, 225-237 (1982). MSC: 22E70 22E30 81R10 PDFBibTeX XMLCite \textit{W. H. Klink} and \textit{T. Ton-That}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 36, 225--237 (1982; Zbl 0488.22041) Full Text: Numdam EuDML
Gustafson, Karl E. (ed.); Reinhardt, William P. (ed.) [Enss, V.; Simon, B.; Devinatz, A.; Rejto, P.; Sinha, K. B.; Sigal, I. M.; Brownell, F. H.; Gustafson, K.; Johanson, G.; Dolph, C. L.; Ramm, A. G.; Reinhardt, W. P.; Jaffe, C.; Shirts, R. B.; Schechter, M.; Weder, R.; Hartman, R. L.; Tadjeran, H.; Xia, D.; Seddighin, M.; Klink, W. H.; Ton-That, T.; Marchand, J.-P.; Schroeck, F. E.; Mercer, R.; Hudson, R. L.; Ion, P. D. F.; Parthasarathy, K. R.; Misra, B.; Goodrich, R. K.; Jones, W. B.; Thron, W. J.; Howland, J. S.] Quantum mechanics in mathematics, chemistry, and physics. (Proceedings of a Special Session in Mathematical Physics organized as a part of the 774th Meeting of the American Mathematical Society, held March 27-29, 1980, in Boulder, Colorado). (English) Zbl 0489.46053 New York, London: Plenum Press. IX, 506 p. $ 59.50 (1981). MSC: 46N99 00Bxx 46L60 46-06 47L90 81-06 46L51 46L53 46L54 47A40 PDFBibTeX XML
Klink, W. H.; Ton-That, T. Orthogonal polynomial bases for holomorphically induced representations of the general linear groups. (English) Zbl 0439.22021 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 31, 99-113 (1979). MSC: 22E46 PDFBibTeX XMLCite \textit{W. H. Klink} and \textit{T. Ton-That}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 31, 99--113 (1979; Zbl 0439.22021) Full Text: Numdam EuDML
Klink, W. H.; Ton-That, T. Holomorphic induction and the tensor product decomposition of irreducible representations of compact groups. I: SU(n) groups. (English) Zbl 0439.22020 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 31, 77-97 (1979). MSC: 22E46 22C05 PDFBibTeX XMLCite \textit{W. H. Klink} and \textit{T. Ton-That}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 31, 77--97 (1979; Zbl 0439.22020) Full Text: Numdam EuDML
Ton-That, Tuong Explicit decomposition of tensor products of certain analytic representations of symplectic groups. (English) Zbl 0422.15014 J. Math. Phys. 19, 2514-2519 (1978). MSC: 15A69 22E45 20G20 PDFBibTeX XMLCite \textit{T. Ton-That}, J. Math. Phys. 19, 2514--2519 (1978; Zbl 0422.15014) Full Text: DOI
Ton-That, Tuong Sur la décomposition des produits tensoriels des représentations irréductibles de \(GL(k,C)\). (French) Zbl 0357.22009 J. Math. Pures Appl., IX. Sér. 56, 251-261 (1977). MSC: 22E45 13F20 PDFBibTeX XMLCite \textit{T. Ton-That}, J. Math. Pures Appl. (9) 56, 251--261 (1977; Zbl 0357.22009)
Ton-That, Tuong On holomorphic representations of symplectic groups. (English) Zbl 0312.22015 Bull. Am. Math. Soc. 81, 1069-1072 (1975). MSC: 22E45 13F20 PDFBibTeX XMLCite \textit{T. Ton-That}, Bull. Am. Math. Soc. 81, 1069--1072 (1975; Zbl 0312.22015) Full Text: DOI