20,736 research outputs found

    Ext algebra of Nichols algebras of Cartan type A(2)

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    We give the full structure of the Ext algebra of any Nichols algebra of Cartan type A2 by using the Hochschild–Serre spectral sequence. As an application, we show that the pointed Hopf algebras u(D, λ, µ) with Dynkin diagrams of type A, D, or E, except for A1 and A1 × A1 with the order NJ > 2 for at least one component J, are wild

    The Calabi–Yau property of smash products

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    AbstractLet H be a semisimple Hopf algebra and R a braided Hopf algebra in the category of Yetter–Drinfeld modules over H. When R is a Calabi–Yau algebra, a necessary and sufficient condition for R#H to be a Calabi–Yau Hopf algebra is given. Conversely, when H is the group algebra of a finite group and the smash product R#H is a Calabi–Yau algebra, we give a necessary and sufficient condition for the algebra R to be a Calabi–Yau algebra

    Cleft extensions of Koszul twisted Calabi-Yau algebras

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    Abstract: Let H be a twisted Calabi-Yau (CY) Hopf algebra and sigma a 2-cocycle on H. Let A be an N-Koszul twisted CY algebra such that A is a graded H (sigma)- module algebra. We show that the cleft extension A#(sigma) H is also a twisted CY algebra. This result has two consequences. Firstly, the smash product of an N-Koszul twisted CY algebra with a twisted CY Hopf algebra is still a twisted CY algebra. Secondly, the cleft objects of a twisted CY Hopf algebra are all twisted CY algebras. As an application of this property, we determine which cleft objects of U(D, lambda), a class of pointed Hopf algebras introduced by Andruskiewitsch and Schneider, are Calabi-Yau algebras

    Hui tu zhen ben jing shi mu yu jin gang zuan

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    著作者余好辯, 伍憤時.Cover title.上下卷.On double leaves, East Asian binding.木魚歌文.zhu zuo zhe Yu Haobian, Wu Fenshi.Shang xia juan.Mu yu ge wen

    Yu Takeuchi

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    Yu Takeuchi is serving for JAXA since 2007 and currently working as Associate Senior Administrator at Management and Integration Department of Human Spaceflight Technology Directorate. He is also working as Researcher at the Institute of Space Law of Keio University. He received LL.M. degree from the Institute of Air and Space Law of McGill University in 2015. His main interest is in international space law inter alia the legal aspects of space traffic management and sustainable space development. He is a member of the Air Law Institute of Japan, Japanese Society of International Law, and the International Institute of Space Law (IISL). Main Works Published in English - “Toward the International Regime for Space Traffic Management -What to Fix the Current International Regulations-”, (November 5, 2014). Space Traffic Management Conference, Paper 23 (http://commons.erau.edu/stm/2014/wednesday/23). - “Regulatory Regime for Tomorrow’s Suborbital Space Flights: Point-to-point International Flights”, 56th Colloquium on the Law of Outer Space, 2013. - “Space Traffic Management as a Guiding Principle of the International Regime of Sustainable Space Activities,” 4 Journal of East Asia and International Law, 2011 - “Japanese Perspective on Legal Issues of Commercial Human Spaceflight” (co-author), 53rd Colloquium on the Law of Outer Space, 2011 - “Legal Points at Issue about NEO Threat Response and International Cooperation” (co-author), 28th International Symposium on Space Technology and Science, 2011 - “From Guideline to International Treaty for Rule of Law concerning Mitigation of Space Debris?” (co-author), 52nd Colloquium on the Law of Outer Space, 2010 Main Works Published in Japanese (title translated into English) - “What is Space Traffic Management”, Vol. 46, No.9, Journal of the Japanese Institute of International Business Law, 2018. - Soichiro Kozuka & Masahiko Sato eds., Introduction of Space Law for Entrepreneur (2nd. Ed.), Yuhikaku, 2018. (co-authored) -“Challenges to International Space Law for Managing Space Traffic”, 55 Kuho (Air Law), 2014. -“Legal Points as Issues of NEO Threat Response and International Cooperation” (co-author), 3 Spaceguard Research, Japan Spaceguard Association, 2011https://commons.erau.edu/stm-images/1121/thumbnail.jp

    Chao cai liao yong yu ya bo chang ju jiao: ge xiang yi xing hao sun cai liao yu ti du guang xue na mi bo dao guan

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    Kwok, Hui Kin = 超材料用於亞波長聚焦 : 各向異性耗損材料與梯度光學納米波導管 / 郭栩健.Thesis M.Phil. Chinese University of Hong Kong 2015.Includes bibliographical references (leaves 67-69).Abstracts also in Chinese.Title from PDF title page (viewed on 26, September, 2016).Kwok, Hui Kin = Chao cai liao yong yu ya bo chang ju jiao : ge xiang yi xing hao sun cai liao yu ti du guang xue na mi bo dao guan / Guo Xujian

    Yi ge zai Jianada wei qi si xing qi de Ying yu ke cheng de yu wen ji wen hua xue xi

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    Chan, Sin Yu.Thesis M.Phil. Chinese University of Hong Kong 2015.Includes bibliographical references (leaves 260-268).Abstracts also in Chinese; some appendixes in Chinese.Title from PDF title page (viewed on 11, November, 2016).Chan, Sin Yu

    Intractability of Optimal Multi-Robot Path Planning on Planar Graphs

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    We study the computational complexity of optimally solving multi-robot path planning problems on planar graphs. For four common time- and distance-based objectives, we show that the associated path optimization problems for multiple robots are all NP-complete, even when the underlying graph is planar. Establishing the computational intractability of optimal multi-robot path planning problems on planar graphs has important practical implications. In particular, our result suggests the preferred approach toward solving such problems, when the number of robots is large, is to augment the planar environment to reduce the sharing of paths among robots traveling in opposite directions on those paths. Indeed, such efficiency boosting structures, such as highways and elevated intersections, are ubiquitous in robotics and transportation applications.Peer reviewe

    Er tong shui mian jie lü: zheng chang can kao zhi, xiang guan yin su, dui jian kang de ying xiang, he gan yu gai shan

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    Yu, Xinting.Thesis Ph.D. Chinese University of Hong Kong 2014.Includes bibliographical references (leaves 188-207).Abstracts also in Chinese; appendixes in Chinese.Title from PDF title page (viewed on 14, September, 2016).Yu, Xinting
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