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"Introduces the concepts and methods of the Lie theory in a form accessible to the non-specialist by keeping mathematical prerequisites to a minimum. Although the authors have concentrated on presenting results while omitting most of the proofs, they have compensated for these omissions by including many references to the original literature. Their treatment is directed toward the reader seeking a broad view of the subject rather than elaborate information about technical details. Illustrations of various points of the Lie theory itself are found throughout the book in material on applications. In this reprint edition, the authors have resisted the temptation of including additional topics. Except for correcting a few minor misprints, the character of the book, especially its focus on classical representation theory and its computational aspects, has not been changed."

"This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie theory. Special emphasis is placed on homogeneous spaces and invariant geometric structures. The last section of the book is dedicated to the structure theory of Lie groups. Particularly, they focus on maximal compact subgroups, dense subgroups, complex structures, and linearity."

"Aljabar Lie adalah ruang vektor atas suatu lapangan yang dilengkapi dengan bracket Lie yang bilinier, bersifat antisimetri dan memenuhi identitas Jacobi. Salah satu contoh dari aljabar Lie adalah himpunan pemetaan linier dari ruang vektor V ke V, yang dinotasikan dengan gl(V), dengan bracket Lie berupa komutator. Jika V adalah suatu aljabar, maka himpunan derivasi dari V (dinotasikan dengan Der(V)) membentuk suatu subaljabar Lie dari gl(V). Holomorph dari aljabar Lie L, yaitu hasil tambah langsung dari L dan Der(L), juga membentuk aljabar Lie. Aljabar Lie dikatakan lengkap jika pusatnya adalah himpunan nol dan semua derivasinya adalah derivasi dalam. Pada tesis ini, diulas syarat yang harus dipenuhi agar aljabar derivasi dan holomorph dari suatu aljabar Lie menjadi lengkap.

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Lie algebra is a vector space over a field together with a bilinear Lie bracket, that satisfy antisymmetry and Jacobi identity. One of the examples of Lie algebra is a set of linear transformation from a vector space V to V, that is denoted by gl(V), with a commutator as the Lie bracket. If V is an algebra then the set of derivation of V (denoted by Der(V)) forms a Lie subalgebra of gl(V). The holomorph of a Lie algebra, that is direct sum of vector spaces L and Der(L), also forms a Lie algebra. A Lie algebra is called complete if its center is zero and all its derivations are inner. In this thesis, it is discussed the properties that must be satisfied in order to the derivation and the holomorph of Lie algebra become complete."

"The emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Volume 2 builds on the fundamentals presented in Volume 1, delving deeper into relationships among stochastic geometry, geometric aspects of the theory of communications and coding, multivariate statistical analysis, and error propagation on Lie groups. Extensive exercises, motivating examples, and real-world applications make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry."

"Aljabar Lie sederhana merupakan aljabar Lie dengan karakteristik khusus, yaitu tidak abelian dan tidak memiliki ideal sejati yang tak nol. Dalam penelitian ini, dikenalkan suatu aljabar Lie sederhana yaitu sl fr infin;,K yang merupakan subaljabar Lie dari gl fr infin;,K . Aljabar Lie sederhana sl fr infin;,K memiliki dimensi yang tidak berhingga dengan basis yang tak terhitung.

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Simple Lie algebra is Lie algebra with special characteristics, which is not abelian and not having any nonzero proper ideal. In this study, a simple Lie algebra sl fr infin ,K is introduced, which is a sub Lie algebra from gl fr infin ,K . Simple Lie algebra sl fr infin ,K has an infinitely dimension with an uncountably basis."

"Penggunaan hasil pemeriksaan poligraf yang dijadikan alat bukti dalam praktik peradilan pidana Indonesia seharusnya dapat diiringi dengan keberadaan regulasi yang memadai serta mekanisme pengawasan yang jelas terhadap pelaksanaan pemeriksaan poligraf agar dapat sejalan dengan asas due process of law. Hal tersebut tentunya berkaitan pada keabsahan suatu alat bukti yang dihadirkan dalam persidangan di pengadilan, mengingat keabsahan suatu alat bukti dapat ditentukan dengan melihat ke belakang terkait kesesuaian tata cara perolehan alat bukti tersebut dengan ketentuan hukum yang berlaku. Penelitian ini dilakukan dengan menggunakan metode penelitian kualitatif dengan bentuk penelitian yuridis normatif. Skripsi ini akan membahas mengenai pemeriksaan poligraf dalam praktik peradilan pidana Indonesia mulai dari regulasi yang berlaku saat ini dan perbandingannya dengan yang berlaku dalam negara Common Law System yaitu Negara Bagian New Mexico di Amerika Serikat, serta peran dan keabsahan alat bukti yang bersumber dari hasil pemeriksaan poligraf dalam praktik peradilan pidana di Indonesia, yang kemudian akan dianalisis keterkaitannya dengan asas due process of law. Kesimpulan dari penelitian ini adalah pemeriksaan poligraf dan penggunaannya di Indonesia saat ini belum diatur secara lengkap, serta tidak terdapat mekanisme pemeriksaan keabsahan dari perolehan alat bukti yang bersumber dari hasil pemeriksaan poligraf, dan penggunaan instrumen pemeriksaan poligraf telah bertentangan dengan asas due process of law. Oleh karena itu, perlu adanya pembahasan lebih lanjut untuk mengkaji penggunaan instrumen pemeriksaan poligraf sebagai alat bukti.

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The usage of polygraph examination results that are used as evidence in Indonesian criminal justice practices should be accompanied by the existence of adequate regulations and obvious supervisory mechanisms for the enforcement of polygraph examination, so it could be in line with the due process of law principle. This is certainly related to the validity of the evidence presented in a trial at the court, considering the validity of evidence can be determined by observing the conformity of the procedure for obtaining the evidence with the provisions of applicable law. This research is conducted using qualitative research methods with normative juridical forms of research. This thesis will discuss the polygraph examination in Indonesian criminal justice practices starting from the current applicable regulation and its comparison with those applicable in the Common Law System, namely in the State of New Mexico in the United States of America, as well as the role and validity of the evidence that derived from the result of a polygraph examination in Indonesian criminal justice practices, which will be analyzed about the correlation with the due process of law principle. The conclusion of this thesis are the polygraph examination and its current application in Indonesia are not fully regulated, furthermore there is no supervisory mechanism for checking the validity of the acquisition of evidence derived from the results of the polygraph examination, thus it is not proven to fulfill the due process of law principle. Therefore, there needs to be a further discussion to examine the use of the polygraph examination instruments as evidence."

"This title presents an introduction to the classical treatment of Backlund and general surface transformations; and includes detailed and accessible techniques for constructing both groups of tranformations which will be of great value to the scientist and engineer in the analysis of mathematical models of physical phenomena. Classical and recent examples of Backlund transformations as applied to geometry, nonlinear optics, turbulence models, nonlinear waves and quantum mechanics are given. The authors discuss applications of Lie-Backlund transformations in mechanics, quantum mechanics, gas dynamics, hydrodynamics, and relativity."

"Memiliki kemampuan untuk mengatakan kebohongan prososial pada anak usia sekolah merupakan bagian dari perkembangan anak. Penelitian ini bertujuan untuk mengetahui peran ToM dan MoToM beserta komponennya dalam memprediksi kemampuan anak usia sekolah dalam mengatakan kebohongan prososial. Penelitian ini diikuti oleh 71 anak berusia 7-9 tahun, murid SD Negeri di Depok. Berdasarkan analisis binary logistic regression, didapatkan hasil bahwa terdapat peran ToM dan MoToM dalam memprediksi kebohongan prososial anak usia 7-9 tahun secara signifikan, yakni sebesar 30,1%. Pada komponen ToM, ditemukan adanya peran first-order hidden emotion yang signifikan negatif dalam memprediksi kebohongan prososial anak usia 7-9 tahun, tetapi first-order false belief ataupun second-order false belief tidak berperan terhadap kebohongan prososial. Penelitian ini juga membuktikan bahwa MoToM (termasuk MoToM false belief dan MoToM evaluasi moral) dapat memprediksi kebohongan prososial anak.

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Possessing the ability to tell prosocial lies to school-aged children is essential in children's developmental milestone. This study aims to determine the role of ToM and MoToM and their components in predicting the success of school-age children in telling prosocial lies. This study draws data from 71 children aged 7-9 years from public elementary schools in Depok. Based on the analysis conducted using binary logistic regression, a significant role of ToM and MoToM in predicting the probability of successful prosocial lying for children aged 7-9 years was found, which accounts for 30,1%. In the ToM component, there was a significant negative role of first-order hidden emotion in predicting prosocial lie-telling of children aged 7-9 years. On the other hand, first-order false beliefs or second-order false beliefs did not play a role in prosocial lies. This study also proves that MoToM (which includes MoToM false belief and MoToM moral evaluation) can predict prosocial lie-telling of children aged 7-9 years.

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