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ON MATRIX QUANTUM GROUPS OF TYPE An *PHUNG* HO HAI

, 1998

"... Abstract. Given a Hecke symmetry R, one can define a matrix bialgebra ER and a matrix Hopf algebra HR, which are called function rings on the matrix quantum semi-group and matrix quantum groups associated to R. We show that for an even Hecke symmetry, the rational representations of the correspondin ..."

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Abstract. Given a Hecke symmetry R, one can define a matrix bialgebra ER and a matrix Hopf algebra HR, which are called function rings on the matrix quantum semi-group and matrix quantum groups associated to R. We show that for an even Hecke symmetry, the rational representations of the corresponding quantum group are absolutely reducible and that the fusion coefficients of simple representations depend only on the rank of the Hecke symmetry. Further we compute the quantum rank of simple representations. We also show that the quantum semi-group is “Zariski ” dense in the quantum group. Finally we give a formula for the integral. 1.

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ON MATRIX QUANTUM GROUPS OF TYPE An *PHUNG* HO HAI

, 1997

"... Abstract. To a Hecke symmetry R there associate the matrix bialgebra ER and the matrix Hopf algebra HR, which are called function rings on the matrix quantum semi-group and matrix quantum groups associated to R. We show that for an even Hecke symmetry, the rational representations of the correspondi ..."

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Abstract. To a Hecke symmetry R there associate the matrix bialgebra ER and the matrix Hopf algebra HR, which are called function rings on the matrix quantum semi-group and matrix quantum groups associated to R. We show that for an even Hecke symmetry, the rational representations of the corresponding quantum group are absolutely reducible and compute the integral on the function ring of the quantum group, i.e, on HR. Further, we show that the fusion coefficients of simple representations depend only on the rank of the symmetry. In the general case, we show that the quantum semi-group is “Zariski ” dense in the quantum group. This enables us to study the semi-simplicity of the associated quantum group in some case. 1.

### Supervising Deputy Attorney General EXCERPTS OF RECORD Volume I-- III

"... v. DAPHNE PHUNG; et al., ..."

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A CONSTRUCTION OF A QUOTIENT TENSOR CATEGORY *PHÙNG* HÔ HAI

, 2008

"... Abstract. For a rigid tensor abelian category T over a field k we introduce a notion of a normal quotient q: T − → Q. In case T is a Tannaka category, our notion is equivalent to Milne’s notion of a normal quotient [5]. More precisely, if T is the category of finite dimensional representations of a ..."

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Abstract. For a rigid tensor abelian category T over a field k we introduce a notion of a normal quotient q: T − → Q. In case T is a Tannaka category, our notion is equivalent to Milne’s notion of a normal quotient [5]. More precisely, if T is the category of finite dimensional representations of a groupoid scheme G over k, then Q is equivalent to the representation category of a normal subgroupoid scheme of G. We describe such a quotient in terms of the subcategory S of T consisting of objects which become trivial in Q. We show that, under some condition on S, Q is uniquely determined by S. If S is a finite tensor category, we show that the quotient of T by S exists. In particular we show the existence of the base change of T with respect to finite field extensions. As an application, we obtain a condition for the exactness of sequences of groupoid schemes in terms of the representation categories.

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A CONSTRUCTION OF A QUOTIENT TENSOR CATEGORY *PHÙNG* HÔ HAI

, 2007

"... Abstract. For a rigid tensor abelian category T over a field k we introduce a notion of a normal quotient q: T − → Q. In case T is a Tannaka category, our notion is equivalent to Milne’s notion of a normal quotient [5]. More precisely, if T is the category of finite dimensional representations of a ..."

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Abstract. For a rigid tensor abelian category T over a field k we introduce a notion of a normal quotient q: T − → Q. In case T is a Tannaka category, our notion is equivalent to Milne’s notion of a normal quotient [5]. More precisely, if T is the category of finite dimensional representations of a groupoid scheme G over k, then Q is equivalent to the representation category of a normal subgroupoid scheme of G. We describe such a quotient in terms of the subcategory S of T consisting of objects which become trivial in Q. We show that, under some condition on S, Q is uniquely determined by S. If S is a finite tensor category, we show that the quotient of T by S exists. In particular we show the existence of the base change of T with respect to finite field extensions. As an application, we obtain a condition for the exactness of sequences of groupoid schemes in terms of the representation categories.

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Learner Model in Adaptive Learning Loc Nguyen, *Phung* Do

"... support well for interaction between learner and lesson, learner and teacher. However, every student has individual features such as: knowledge, goal, experience, interest, background … So, there is emergent demand for tailoring learning material (lesson, exercise, test…) to each person. This is lea ..."

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support well for interaction between learner and lesson, learner and teacher. However, every student has individual features such as: knowledge, goal, experience, interest, background … So, there is emergent demand for tailoring learning material (lesson, exercise, test…) to each person. This is learning personalized process and system which supports such process was called Adaptive Learning System. Therefore, learning adaptive system is able to change its action to provide both learning content and pedagogic environment/method for student. Adaptive systems base on the “description of learner’s properties ” called learner model. The process which gathers information to build up learner model and update it was named: learner modeling. Adaptive system tunes learning material & teaching method to learner model. However, learner model is focused in this paper. Keywords—learner model, user model, adaptive learning, learning management system, learning object, adaptive educational hypermedia system. Note—User model, student model and learner model are synonymic terms in this paper because users are regarded as learners or students in learning context. T I.

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Nguyen Van Chung, *Phung* Quoc Tuan AnhDiagnosis of farming systems in the Agroforestry for Livelihoods of

"... Diagnosis of farming systems in the ..."

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Bureau for Research and Economic Analysis of Development © Copyright 2010 Quy-Toan Do and Tung Duc *Phung* The Importance of Being Wanted

, 2010

"... We identify birth wantedness as a source of better child outcomes. In Vietnam, the year of birth is widely believed to determine success. As a result, cohorts born in auspicious years are 12 percent larger. Comparing siblings with one another, those of auspicious cohorts are found to have 2 extra mo ..."

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We identify birth wantedness as a source of better child outcomes. In Vietnam, the year of birth is widely believed to determine success. As a result, cohorts born in auspicious years are 12 percent larger. Comparing siblings with one another, those of auspicious cohorts are found to have 2 extra months of schooling. The Vietnamese horoscope being gender-speci
c, this di¤erence will be shown to be driven by birth planning; children born in auspicious years are more likely to have been planned, thus bene tting from a more favorable growth environment.

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THE INTEGRAL ON QUANTUM SUPER GROUPS OF TYPE A r|s *PHÙNG* HÔ ` HA ’ I

, 1998

"... Abstract. We compute the integral on matrix quantum (super) groups of type A r|s and derive from it the quantum analogue of (super) HCIZ integral. ..."

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Abstract. We compute the integral on matrix quantum (super) groups of type A r|s and derive from it the quantum analogue of (super) HCIZ integral.

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Ha *Phung*, Michel Lintz. Comments on ”Frequency Response of the Noise Conversion from Relative Intensity Noise to Phase Noise in the Photodetection of an Optical Pulse Train”. Télémétrie Laser. publication papier en attente Lien éditeur pour la publica

, 2014

"... HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte p ..."

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HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et a ̀ la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Abstract — It is shown that the results presented in the article by Wu et al. (IEEE Photon. Technol. Lett. 23 (n° 8) 2011, pp. 468-470), and attributed by the authors to amplitude-to-phase conversion in the photodetector, do not originate in the photodetector under test, due to the power dependence observed. More recent results show that