Do Ngoc Diep

1. Koji Nagata, Tadao Nakamura, Ahmed Farouk, Do Ngoc Diep, A necessary and sufficient condition for standard quantium computing. International journal of Theoretical physic, 2018, online, https://doi.org/10.1007/ s10773-018-3917-x
2. Koji Nagata, Tadao Nakamura, Han Geurdes, Josep Batle, Ahmed Farouk, Do Ngoc Diep, Santanu Kumar Patro, Efficient quantum algorithms of finding the roots of a polynomial function, International Journal of Theoretical Physics 57 (2018) , No 8, 2546 - 2555
3. Do Ngoc Diep, Do Hoang Giang, Phan Huy Phu, Application of quantum Gauss-Jordan elimination code to quantum secret sharing code, Internation- al Journal of Theoretical Physics 57 (2018) 841
4. Koji Nagata, Tadao Nakamura, Han Geurdes, Josep Batle, Soliman Abdalla, Ahmed Farouk, Do Ngoc Diep, Creating very true quantum algorithms for quantum energy based computing, International Journal of Theoretical Physics 57 (2018) 973
5. Do ngoc Diep, Do Hoang Giang, Quantum communication and quantum multivariate polynomial interpolation, Int. J. Theor. Phys., 56(2017), No 9, 2797-2802
6. Do Ngoc Diep, Do Hoang Giang and Nguyen Van Minh, Quantum Gauss-Jordan elimination and simulation ofnaccounting principles on quantum computers, Inter. J. of Theor. Physics, 56(2017), No 6, 1948-1960, DOI:10.1007/s1073-3340-8.
7. Do Ngoc Diep, On the Twisted KK-Theory and Positive Scalar Curvature Problem, arXiv:1602.01920, Intl. J. of Advances in Mathematics. 3(2017), 9-15.
8. Do Ngoc Diep, Quantization of fields and automorphic representations, Intl. J. of Advances in Mathematics, Vol. 2017, No 1, 48-54, 2017.
9. Do Ngoc Diep, Do Thi Phuong Quynh, Poisson summation and endoscopy for Sp(4; R), SEAMS Bulletin of Mathematics, Vol. 40(2016): 837-856.
10. Do Ngoc Diep, Do Thi Phuong Quynh, Poisson summation and endoscopy for SU(2; 1), East-West Journal of Mathematics, Vol. 17, No 2 (2015), 125-140.
11. Do Ngoc Diep, Do Thi Phuong Quynh, Automorphic representations of SL2(R) and Quantization of fields, arXiv:1406.3018[math.RT] Amer. Research J. of Math., 1(2015), No 2, 25-37. ISSN 2378-704X
12. Do Ngoc Diep, Do Thi Phuong Quynh, Poisson summation and endoscopy for SL3(R), arXiv:1407.6912[math.QA]
13. Do Ngoc Diep, Category of Noncommutative CW Complexes.II, arXiv:math/0211048; Vietnam J. Math. 44(2014), N0 1, 67-74 DOI 10.1007/s10013-013-0036-0
14. Do Ngoc Diep, Category of Noncommutative CW Complexes, Vietnam J. Math. 38(2010), No 3, 363-371.
15. Do Ngoc Diep, Nong Quoc Chinh, Course of Differential Geometry, NXB DHQG HN, 2010.
16. Do Ngoc Diep, Huynh Van Duc, Bui Doan Khanh, An algebraic approach to building quantum algorithms (in Vietnamese), Journal of Math. Appl. (Tap chi Ung dung Toan hoc), VII(2010), No 1, 093-110.
17. Do Ngoc Diep, A quantization procedure of fields based on Geometric Langlands Corresponcence, Intl. J. Math, Math,. Sci., 2009, 14 pp, doi:10.1155/2009/749631.
18. Do Ngoc Diep, Ha Dai Ton, On the electric-magnetic Goddard-Olive-Nuyts duality pair of groups, Vietnam J. Math., 37(2009), No 4,457-462.
19. Huynh Van Duc, Bui Doan Khanh, Do Ngoc Diep, Quantum Algorithm for Searching Patterns, J. of Science and Technology, Vol 46, N5A,2008, pp 67-78.
20. Huynh Van Duc, Bui Doan Khanh, Do Ngoc Diep, Pattern Search Quantum Algorithms, Addendum Contributions to 2008 IEEE International Conference RIVF, July 13-17, 2008, Ho Chi Minh City, Vietnam, pp 36-40 21. Do Ngoc Diep, Dao Vong Duc, Ha Vinh Tan and Nguyen Ai Viet, Extended Kaluza-Klein unification model with mixed compactification, Comm. in Physics, 18(2008), No 3, 129-135.
22. Do Ngoc Diep, Dao Vong Duc, Ha Vinh Tan and Nguyen Ai Viet, Convolution wedge product of fields, arXiv:math/0211047, Comm. in Physics, 18(2008), No 2, 111-118,
23. Do Ngoc Diep, Category of Noncommutative CW Complexes III, arXiv:math/0211047.
24. Do Ngoc Diep, Dao Vong Duc, Ha Vinh Tan and Nguyen Ai Viet, Convolution-Wedge Product of Fields in Anti-Symmetric Metric Regime Is Defined Through Electric-Magnetic Duality and Mirror Symmetry, Preprint 2007/08/02 , IOM, VAST, 2007; Communication in Phys.
25. Do Ngoc Diep, Dao Vong Duc, Ha Vinh Tan and Nguyen Ai Viet, Moving frames and fiber bundles over the (3+1)
26. Do Ngoc Diep, Dao Vong Duc, Ha Vinh Tan and Nguyen Ai Viet, Tetrad as fundamental concept in generally covariant unified theory, Invited talk, Intl. School-Conference GAP4 Geometry and Physics IV: Aspects of Quantization, June 12-17,2006, Hanoi, Vietnam.
27. Do Ngoc Diep, Quantum computer and related mathematical structures, Journal of Math. Applications, (in Vietnamese), 2(2004), No 1, 77-92.
28. Do Ngoc Diep, Noncommutative spherical tight frames in finitely generated Hilbert C*-modules, arXiv:math.KT/ 0409451, pp. 9.
29. Do Ngoc Diep, Noncommutative Chern-Connes characters of C*-algebras of noncompact quantum normalizer of SU(1,1) in SL(2,C), Intl. J. of Math. 15(2004), No 4, 361-367.
30. Do Ngoc Diep, Graded Cech cohomology in noncommutative geometry; Invited talk at theInternational Conference Abstract and Applied Analysis and Application II, Quy Nhon, Vietnam, July 13-17, 20004.
31. Do Ngoc Diep, Riemann-Roch Theorem and the index theorem in noncommutative geometry, Invited talk at the International IMC-2002 Satellite Conference Abstract and Applied Analysis and Application, Hanoi, Vietnam, August 13-17, 20002; arXiv:math.QA/0211076.
32. Do Ngoc Diep, Spectral sequences for noncommutative Serre fibrations, arXiv:math.QA/ 0211047.
33. Do Ngoc Diep, Hexagons for noncommutative Serre fibrations, arXiv:math.QA/ 0211048.
34. Do Ngoc Diep and Aderemi O. Kuku, Noncommutative ChernConnes characters of some noncompact quantum algebras, arXiv:math.QA/ 0109042.
35. Do Ngoc Diep, Quantized algebras of functions on affine Hecke algebras ,arXiv:math.QA/ 0101015; Invited talk at the International Conference Abstract and Applied Analysis and Application II, Quy Nhon, Vietnam, July 13-17, 20004.
36. Do Ngoc Diep, A survey of noncommutative Chern characters, arXiv:math.QA/ 0003108.
37. Do Ngoc Diep, Quantum strata of coadjoint orbits, arXiv:math.QA/0003100.
38. Do Ngoc Diep and Nguyen Viet Hai, Quantum co-adjoint orbits of the group of affine transformations of the complex line, Contributions to Algebra and Geometry, 42(2001), 419-430.
39. Do Ngoc Diep and Nguyen Viet Hai, Quantum half-plane via deformation quantization, Contributions to Algebra and Geometry, 42(2001), 407-417.
40. Do Ngoc Diep, Phung Ho Hai and Aderemi O. Kuku, Compact quantum group C*-algebras as Hopf algebras with approximate unit arXiv:math.QA/9904175.
41. Do Ngoc Diep, Aderemi O. Kuku and Nguyen Quoc Tho, Non-commutative Chern characters for compact quantum groups, J. of Algebra 226(2000), 311-331.
42. Do Ngoc Diep, Witten-Jeffrey-Kirwan localization formula for reduction at regular co-adjoint orbits, Matimyas Matematika, Special Issue, August 1998, Proceedings International Conference on Inverse Problems and Applications, February 23-27, 1998, 93-108.
43. Do Ngoc Diep, Aderemi O. Kuku and Nguyen Quoc Tho, Non-commutative Chern characters for compact Lie group C*-algebras K-Theory, 17(2) (July 1999), 195-208.
44. Do Ngoc Diep and Truong Chi Trung, A realisation of degenerate principal series representations of symplectic groups, East West J. of Mathematics, 1(1999), No 2, 117-130.
45. Do Ngoc Diep and Nguyen Van Thu, Homotopy invariance of entire current periodic cyclic homology, Vietnam J. of Math., 25(1997), No 2, 211-228.
46. Do Ngoc Diep and Nguyen Van Thu’, Entire homology of non-commuta- tive de Rham currents, ICTP IC/96/214; Publications of Center of Functional Analysis and Complex Analysis, Hanoi-City Vietnam National University; http://www.math.uiuc.edu/K- theory/0227.
47. Do Ngoc Diep, Non-commutative Geometry Methods for Group C*-algebras, Monograph, Chapman & Hall/CRC Mathematics Research. Notes Series, vol. 416, 1999.
48. Do Ngoc Diep, Multidimensional quantization and degenerate principal series, Vietnam J. of Math., 23(1995), 127-132.
49. Do Ngoc Diep, Non-commutative geometry methods for group algebras, DSci. Dissertation (in Vietnamese), Institute of Math., NCST of Vietnam, Hanoi, 1995, 147 pp.
50. Do Ngoc Diep, Vanishing theorem for representations with regular lowest weight of loop groups, Forschungsgruppe Nichtkommutative Geometrie und Topologie, Uni Heidelberg, 75(1993), 1-21.

51. Do Ngoc Diep, A survey of noncommutative geometry methods for group algebras, J. of Lie Theory (then Seminar Sophus Lie), 3(1993), 149-176. 52. Do Ngoc Diep, Construction and reduction of the K-theory invariant Index C*(G) of group C*-algebras, Preprint 1992.
53. Do Ngoc Diep, Multidimensional quantization and Fourier integral operators, Forschungsgruppe Nichtkommutative Geometrie und Topologie, Math, Inst. Uni Heidelberg, No 52(1992), 1-17.
54. Do Ngoc Diep, On the Langlands type discrete groups III. The continuous cohomology, Sonderforschungbere ich 343 Diskrete Strukturen in der Mathematik, 92-015(1992), Uni Bielefeld, III.1-III.14.
55. Do Ngoc Diep, Discrete series for loop groups I, Sonderforschungbereich 343 Diskrete Strukturen in der Mathematik, Uni Bielefeld 92-015(1992), IV.1-IV.16.
56. Do Ngoc Diep, Construction et reduction of the K-theory invariant Index C*(G) of group C*-algebras, Sonderforschungbe reich 343 Diskrete Strukturen in der Mathematik, Uni Bielefeld,92-015(1992), I.1-I.10.
57. Do Ngoc Diep, On the Langlands type discrete groups II. The theory of Eisenstein series, Acta Math. Vietnam., 16(1991), no 1, 77-90.
58. Do Ngoc Diep, Multidimensional quantization V. The mechanical systems with supersymmetry, Acta Math. Vietnam., 15(1990), No 1, 11-40.
59. Do Ngoc Diep, Multidimensional quantization IV. The generic representa- tions, Acta Math. Vietnam., 13(1988), 67-72.
60. Do Ngoc Diep, On the Langlands type discrete groups I. The Borel-Serre compactification, Acta Math. Vietnam., 12(1987), No. 1, 41-54.
61. Do Ngoc Diep, Multidimensional quantization and Fourier integral operators, Preprint, Inst. Math. Hanoi, 1986.
62. Do Ngoc Diep, Multidimensional quantization of the Hamiltonian systems with supersymmetry, Preprint series, Inst. Math. Hanoi, No. 31, 1986.
63. Do Ngoc Diep, Multidimensional quantization and the generic representations, Preprint Series, Inst. Math. Hanoi, No. 29, 1986.
64. Do Ngoc Diep, The Borel-Serre compactification for Langlands type discrete groups, Preprint Series, No. 28, Inst. Math. Hanoi, 1986.
65. Do ngoc Diep, C*-complexes de Fredholm II., Preprint IHES/M/83/64 ; Acta Math. Vietnam., 9 9 (1984), No. 2, 193-199.[86a]
66. Do Ngoc Diep, C*-complexes de Fredholm I., Preprint IHES/M/83/53 ; Acta Math. Vietnam., 9(1984), No. 1, 121-130.
67. Do Ngoc Diep, Geometric quantization, J. of Math. ( in Vietnamese ), 11(1983), No 3, 1-4.
68. Do Ngoc Diep, Quantification multidimensionnelle III. Applications: Sur les repre’sentations irre’ductibles de groupes de diffe’omorphismes, Acta Math. Vietnam., 8(1983), No. 1, 59-72.
69. Do Ngoc Diep, Quelques aspects topologiques en analyse harmonique, Acta Math. Vietnam., 8(1983), No 2, 35-131.
70. Do Ngoc Diep, Id ́eaux de type compact associ ́es aux repr ́esentations irr ́eductibles induites par des repr ́esentations liminaires desous-groupes invariants, C. R. Acad. Sci. Paris, S ́erie I, 294(1982), 189-192.
71. Do Ngoc Diep, Quantification des syste`emes hamiltoniens `a l’action plate d’un groupe de Lie, C. R. Acad. Sci. Paris, S ́erie I, 295(1982), 345-348.
72. Do Ngoc Diep, Multidimensional quantization II. The covariant derivation, Acta Math. Vietnam.,7(1982), No. 1, 87-93.
73. Do Ngoc Diep, Functor of projective limit in Banach categories, J. of Math. ( in Vietnamese ),9(1981), No. 1, 16-20.
74. Do Ngoc Diep, Ho Huu Viet and Vuong Manh Son, Sur la structure des C*-alg`ebres d’une classe de groupes de Lie Acta math. Vietnam. 8(1983), No. 2, 90-125.
75. Do Ngoc Diep, Methods of algebraic topology in harmonic analysis, Announcement of research results (in Vietnamese), Hanoi, 1980.

76. Do Ngoc Diep, Multidimensional quantization. I, The general construction, Acta Math. Vietnam.,5(1980), No 2, 42-55.
77. Do Ngoc Diep, Construction des repr ́esentations unitaires par les K-orbites et quantification, C. R. Acad. Paris, S ́erie A, 291(1980), 295- 298. 78. Do Ngoc Diep, The structure of C*-algebras of type I, Vestnik Moscow. Univ., 1978, No 2, 81 – 87.
79. Do Ngoc Diep, Applications of the homological K-functor Ext to studying the structure of the C*-algebras of some solvable Lie groups, Ph. D. Thesis, Moscow. Univ. 1977.
80. Do Ngoc Diep, The structure of the group C*-algebra of the group of affine transformations of the straight line, Funkt. Anal. i Priloz., 9(1975), No 1, 63 – 64.