Dytrych, Tomáš; Langr, Daniel; Draayer, Jerry P.; Launey, Kristina D.; Gazda, Daniel SU3lib: a C++ library for accurate computation of Wigner and Racah coefficients of SU(3). (English) Zbl 1523.81196 Comput. Phys. Commun. 269, Article ID 108137, 6 p. (2021). MSC: 81V35 68P15 81P73 20G05 22D10 22D15 81-08 PDFBibTeX XMLCite \textit{T. Dytrych} et al., Comput. Phys. Commun. 269, Article ID 108137, 6 p. (2021; Zbl 1523.81196) Full Text: DOI
Ponsot, B.; Teschner, J. Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of \(\mathcal U_q(\mathfrak{sl}(2,\mathbb R))\). (English) Zbl 1010.33013 Commun. Math. Phys. 224, No. 3, 613-655 (2001). Reviewer: Angela Pasquale (Clausthal-Zellerfeld) MSC: 33D80 17B37 81Q50 PDFBibTeX XMLCite \textit{B. Ponsot} and \textit{J. Teschner}, Commun. Math. Phys. 224, No. 3, 613--655 (2002; Zbl 1010.33013) Full Text: DOI arXiv
Tolstoy, V. N.; Draayer, J. P. New approach in theory of Clebsch-Gordan coefficients for \(u(n)\) and \(U_q(u(n))\). (English) Zbl 1050.81564 Czech. J. Phys. 50, No. 11, 1359-1369 (2000). MSC: 81R50 81R05 17B37 81-06 22E70 PDFBibTeX XMLCite \textit{V. N. Tolstoy} and \textit{J. P. Draayer}, Czech. J. Phys. 50, No. 11, 1359--1369 (2000; Zbl 1050.81564) Full Text: DOI
Tuzun, Robert E.; Burkhardt, Paul; Secrest, Don Accurate computation of individual and tables of \(3\)-\(j\) and \(6\)-\(j\) symbols. (English) Zbl 0933.65022 Comput. Phys. Commun. 112, No. 2-3, 112-148 (1998). Reviewer: Mariana Gaşpar (Iaşi) MSC: 65D20 33F05 33C80 20H15 81V55 PDFBibTeX XMLCite \textit{R. E. Tuzun} et al., Comput. Phys. Commun. 112, No. 2--3, 112--148 (1998; Zbl 0933.65022) Full Text: DOI
Álvarez-Nodarse, R.; Smirnov, Yuri F. The dual Hahn \(q\)-polynomials in the lattice \(x(s)= [s]_q [s+1]_q\) and the \(q\)-algebras \(SU_q(2)\) and \(SU_q(1,1)\). (English) Zbl 0912.33011 J. Phys. A, Math. Gen. 29, No. 7, 1435-1451 (1996). MSC: 33D80 33D45 17B37 81R50 PDFBibTeX XMLCite \textit{R. Álvarez-Nodarse} and \textit{Y. F. Smirnov}, J. Phys. A, Math. Gen. 29, No. 7, 1435--1451 (1996; Zbl 0912.33011) Full Text: DOI
Ališauskas, Sigitas Biorthogonal coupling coefficients of \(u_ q(n)\). (English) Zbl 0855.17014 J. Phys. A, Math. Gen. 28, No. 4, 985-1003 (1995). MSC: 17B37 33D80 PDFBibTeX XMLCite \textit{S. Ališauskas}, J. Phys. A, Math. Gen. 28, No. 4, 985--1003 (1995; Zbl 0855.17014) Full Text: DOI
Rowe, D. J.; Repka, J. The Biedenharn-Louck tensor calculus from a vector coherent state perspective. (English) Zbl 0852.22019 Gruber, Bruno (ed.), Symmetries in science VI: From the rotation group to quantum algebras. Proceedings of a symposium held in Bregenz, Austria, August 2-7, 1992. New York, NY: Plenum Press. 623-641 (1993). MSC: 22E70 17B81 81R30 22E45 PDFBibTeX XMLCite \textit{D. J. Rowe} and \textit{J. Repka}, in: Symmetries in science VI: from the rotation group to quantum algebras. Proceedings of a symposium held in Bregenz, Austria, August 2-7, 1992. New York, NY: Plenum Press. 623--641 (1993; Zbl 0852.22019)
Flath, Dan; Towber, Jacob Tensor operators. III: Some fundamental tensor operator identities. (English) Zbl 0781.17003 J. Math. Phys. 34, No. 4, 1523-1547 (1993). Reviewer: A.Klimyk (Kiev) MSC: 17B10 81R05 22E46 PDFBibTeX XMLCite \textit{D. Flath} and \textit{J. Towber}, J. Math. Phys. 34, No. 4, 1523--1547 (1993; Zbl 0781.17003) Full Text: DOI
Gould, M. D. Reduced Wigner coefficients for \(U_ q[gl(n)]\). (English) Zbl 0755.17008 J. Math. Phys. 33, No. 3, 1023-1031 (1992). Reviewer: A.Klimyk (Kiev) MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{M. D. Gould}, J. Math. Phys. 33, No. 3, 1023--1031 (1992; Zbl 0755.17008) Full Text: DOI
Gould, M. D.; Links, J.; Bracken, A. J. Matrix elements and Wigner coefficients for \(U_ q[gl(n)]\). (English) Zbl 0755.17007 J. Math. Phys. 33, No. 3, 1008-1022 (1992). Reviewer: A.Klimyk (Kiev) MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{M. D. Gould} et al., J. Math. Phys. 33, No. 3, 1008--1022 (1992; Zbl 0755.17007) Full Text: DOI
Lienert, Cindy R.; Butler, Philip H. Racah-Wigner algebra for \(q\)-deformed algebras. (English) Zbl 0758.17009 J. Phys. A, Math. Gen. 25, No. 5, 1223-1235 (1992). Reviewer: A.Klimyk (Kiev) MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{C. R. Lienert} and \textit{P. H. Butler}, J. Phys. A, Math. Gen. 25, No. 5, 1223--1235 (1992; Zbl 0758.17009) Full Text: DOI
Liskova, N. A.; Kirillov, A. N. Clebsch-Gordan and Racah-Wigner coefficients for \(U_q(SU(1,1))\). (English) Zbl 0925.17007 Int. J. Mod. Phys. A 7, Suppl. 1B, 611-621 (1992). MSC: 17B37 33D55 PDFBibTeX XMLCite \textit{N. A. Liskova} and \textit{A. N. Kirillov}, Int. J. Mod. Phys. A 7, 611--621 (1992; Zbl 0925.17007) Full Text: DOI arXiv
Maekawa, Takayoshi On the Wigner and the Racah coefficients of \(su_ q\)(2) and \(su_ q\)(1,1). (English) Zbl 0738.17012 J. Math. Phys. 32, No. 10, 2598-2604 (1991). MSC: 17B37 33D80 22E70 PDFBibTeX XMLCite \textit{T. Maekawa}, J. Math. Phys. 32, No. 10, 2598--2604 (1991; Zbl 0738.17012) Full Text: DOI
Flath, Daniel E.; Towber, Jacob Tensor operators. I: The concept of a coherent tensor operator. (English) Zbl 0732.22019 Commun. Algebra 18, No. 12, 4047-4086 (1990). Reviewer: A.Klimyk (Kiev) MSC: 22E70 17B81 22E45 17B10 PDFBibTeX XMLCite \textit{D. E. Flath} and \textit{J. Towber}, Commun. Algebra 18, No. 12, 4047--4086 (1990; Zbl 0732.22019) Full Text: DOI
Kirillov, A. N.; Reshetikhin, N. Yu. Representations of the algebra \(U_ q(sl(2))\), \(q\)-orthogonal polynomials and invariants of links. (English) Zbl 0742.17018 Infinite dimensional Lie algebras and groups, Proc. Conf., Marseille/Fr. 1988, Adv. Ser. Math. Phys. 7, 285-337 (1989). Reviewer: H.Boseck (Greifswald) MSC: 17B37 16W30 33D80 57M25 PDFBibTeX XMLCite \textit{A. N. Kirillov} and \textit{N. Yu. Reshetikhin}, Adv. Ser. Math. Phys. 7, 285--337 (1989; Zbl 0742.17018)
Gustafson, Robert A. Invariant theory and special functions. (English) Zbl 0686.15014 Invariant theory, Proc. AMS Spec. Sess., Denton/Tex. 1986, Contemp. Math. 88, 125-144 (1989). Reviewer: B.Reichstein MSC: 15A72 33C05 33C45 20C35 PDFBibTeX XML
Lulek, B.; Lulek, T. Wigner-Racah calculus for transitive representations of cyclic groups. (English) Zbl 0626.20006 Acta Phys. Pol. A 71, No. 6, 869-887 (1987). MSC: 20C35 PDFBibTeX XML
Brudno, Simcha; Louck, James D. Nontrivial zeros of weight 1 3j and 6j coefficients: Relations to diophantine equations of equal sums of like powers. (English) Zbl 0588.10018 J. Math. Phys. 26, 2092-2095 (1985). Reviewer: M.Peters MSC: 11D99 81Q99 PDFBibTeX XMLCite \textit{S. Brudno} and \textit{J. D. Louck}, J. Math. Phys. 26, 2092--2095 (1985; Zbl 0588.10018) Full Text: DOI
Biedenharn, L. C.; Louck, J. D. [Carruthers, P. A.] Angular momentum in quantum physics. Theory and application. With a foreword by Peter A. Carruthers. (English) Zbl 0474.00023 Encyclopedia of Mathematics and Its Applications, Vol. 8. Section: Mathematics of Physics. Reading, Massachusetts: etc.: Addison-Wesley Publishing Company, Advanced Book Program. XXXII, 716 p. (1981). MSC: 00A79 81-02 81V45 22E70 22-02 00-02 33C55 81T60 81V35 81V55 PDFBibTeX XML
Holman, Wayne J. III Summation theorems for hypergeometric series in U(n). (English) Zbl 0454.33010 SIAM J. Math. Anal. 11, 523-532 (1980). MSC: 33C80 33C05 22E50 81R10 PDFBibTeX XMLCite \textit{W. J. Holman III}, SIAM J. Math. Anal. 11, 523--532 (1980; Zbl 0454.33010) Full Text: DOI