9,573 research outputs found

    On deformed double current algebras for simple Lie algebras

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    On deformed double current algebras for simple Lie algebras

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    We prove the equivalence of two presentations of deformed double current algebras associated to a complex simple Lie algebra, the first one obtained via a degeneration of affine Yangians while the other one naturally appeared in the construction of the elliptic Casimir connection. We also construct a specific central element of these algebras and, in type A, show that they contain a very large center for certain values of their parameters.Comment: 40 page

    From Twisted Quantum Loop Algebras to Twisted Yangians

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    We prove how the Yangian of glN\mathfrak{gl}_N in its RTT presentation and Olshanski's twisted Yangians for the orthogonal and symplectic Lie algebras can be obtained by a degeneration process from the corresponding quantum loop algebra and some of its twisted analogues

    Thumb-bangers : exploring the cultural bond between video games and heavy metal

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    « Heavy Metal Generations » is the fourth volume in the series of papers drawn from the 2012 Music, Metal and Politics international conference (http://www.inter-disciplinary.net/publishing/product/heavy-metal-generations/).Heavy metal and video games share an almost simultaneous birth, with Black Sabbath’s debut album in 1970 and Nolan Bushnell’s Computer Space in 1971. From Judas Priest’s ‘Freewheel Burning’ music video in 1984 to Tim Schafer’s Brütal Legend in 2009, the exchanges between these two subcultures have been both reciprocal and exponential. This chapter will present a historical survey of the bond between video games and heavy metal cultures through its highest-profile examples. There are two underlying reasons for this symbiosis: 1) the historical development and popular dissemination of the video game came at an opportune time, first with the video game arcades in the 1970s and early 1980s, and then with the Nintendo Entertainment System, whose technical sound-channel limitations happened to fall in line with the typical structures of heavy metal; 2) heavy metal and video games, along with their creators and consumers, have faced similar sociocultural paths and challenges, notably through the policies set in place by the PMRC and the ESRB, and a flurry of lawsuits and attacks, especially from United States congressmen, that resulted in an overlapping of their respective spaces outside dominant culture. These reasons explain the natural bond between these cultural practices, and the more recent developments like Last Chance to Reason’s Level 2 let us foresee a future where new hybrid creations could emerge
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