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This book explores the cutting edge of the fundamental role of generalizations of Lie theory and related non-commutative and non-associative structures in mathematics and physics.
The book is about (associative, Lie and other) algebras, groups, semigroups presented by generators and defining relations. They play a great role in modern mathematics. It is enough to mention the quantum groups and Hopf algebra theory, the Kac-Moody and Borcherds algebra theory, the braid groups and Hecke algebra theory, the Coxeter groups and semisimple Lie algebra theory, the plactic monoid theory. One of the main problems for such presentations is the problem of normal forms of their elements. Classical examples of such normal forms give the Poincaré-Birkhoff-Witt theorem for universal enveloping algebras and Artin-Markov normal form theorem for braid groups in Burau generators.What is...
2023 marks 400 years since the death of English renaissance composer, William Byrd. Byrd's rich musical oeuvre and storied career has long captured the attention of audiences and scholars alike. This all-new collected edition marks his anniversary with thirteen brand-new essays from leading scholars on Byrd's musical life and legacy.
This book offers the first detailed reception history of adaptations of Johann Sebastian Bach's Goldberg Variations from 1800-2020. By focusing on ways the piece has been arranged, transcribed, and reworked, or quoted in in film, dance, literature, visual art, and digital media, it reveals changing views about the role of the composer and score that have impacted recent performance practices and notions of the work concept. Beyond this, it features the work of composers, many from underrepresented backgrounds, who have recently deconstructed Bach by reimagining the subjects, compositional procedures, and forms, using contemporary compositional approaches.
In 1991 the Soviet empire collapsed, at a stroke throwing the certainties of the Cold War world into flux. Yet despite the dramatic end of this 'last empire', the idea of empire is still alive and well, its language and concepts feeding into public debate and academic research. Bringing together a multidisciplinary and international group of authors to study Soviet society and culture through the categories empire and space, this collection demonstrates the enduring legacy of empire with regard to Russia, whose history has been marked by a particularly close and ambiguous relationship between nation and empire building, and between national and imperial identities. Parallel with this discuss...
A Cello solo with Piano Accompaniment composed by Edvard Grieg.
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This volume composed of twenty four research articles which are selected from the keynote speakers and invited lectures presented in the 3rd International Congress in Algebra and Combinatorics (ICAC2017) held on 25-28 August 2017 in Hong Kong and one additional invited article. This congress was specially dedicated to Professor Leonid Bokut on the occasion of his 80th birthday.