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Titlebook: Representation Theory, Mathematical Physics, and Integrable Systems; In Honor of Nicolai Anton Alekseev,Edward Frenkel,Milen Yakimov Book

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書(shū)目名稱Representation Theory, Mathematical Physics, and Integrable Systems
副標(biāo)題In Honor of Nicolai
編輯Anton Alekseev,Edward Frenkel,Milen Yakimov
視頻videohttp://file.papertrans.cn/828/827421/827421.mp4
概述Highlights the many significant contributions Nicolai Reshetikhin has made in mathematics and physics.Chapters are written by distinguished mathematicians and physicists.Explores the latest developmen
叢書(shū)名稱Progress in Mathematics
圖書(shū)封面Titlebook: Representation Theory, Mathematical Physics, and Integrable Systems; In Honor of Nicolai Anton Alekseev,Edward Frenkel,Milen Yakimov Book
描述Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology.? The chapters in this volume – compiled on the occasion of his 60th birthday – are written by distinguished mathematicians and physicists and pay tribute to his many significant and lasting achievements.??.Covering the latest developments at the interface of noncommutative algebra, differential and algebraic geometry, and perspectives arising from physics, this volume explores topics such as the development of new and powerful knot invariants, new perspectives on enumerative geometry and string theory, and the introduction of cluster algebra and categorification techniques into a broad range of areas. Chapters will also cover novel applications of representation theory to random matrix theory, exactly solvable models in statistical mechanics, and integrable hierarchies. The recent progress in the mathematical and physicals aspects of deformation quantization and tensor categories is also addressed..Representation Theory, Mathematical Physics, and Integrable Systems. will be of interes
出版日期Book 2021
關(guān)鍵詞Quantum Groups; Representation Theory; Categorifications; Kac-Moody Algebras; Invariants of knots and 3-
版次1
doihttps://doi.org/10.1007/978-3-030-78148-4
isbn_softcover978-3-030-78150-7
isbn_ebook978-3-030-78148-4Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightSpringer Nature Switzerland AG 2021
The information of publication is updating

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0743-1643 mathematicians and physicists.Explores the latest developmenOver the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology.? The chapters in this volume – compiled
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Invariants of Long Knots,nvariant ..(.) taking its values in the convolution algebra ((.(.)).). of the restricted dual Hopf algebra (.(.)). of the quantum double .(.) of .. This extends the known constructions of universal invariants previously considered mostly either in the case of finite-dimensional Hopf algebras or by using some topological completions.
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Theta Invariants of Lens Spaces via the BV-BFV Formalism,hern-Simons partition function—in the context of the quantum BV-BFV formalism. Namely, we compute the state on the solid torus to low degree in . and apply the gluing procedure to compute the Theta invariant of lens spaces. We use a distributional propagator which does not extend to a compactified c
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