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Berkeley Lectures on Lie Groups and Quantum Groups by Richard Borcherds, Mark Haiman, Theo Johnson-Freyd, Nicolai Reshetikhin, Vera Serganova is a nonfiction available to read on EtoBox.
What is Berkeley Lectures on Lie Groups and Quantum Groups about?
Contents......Page 2 List of Theorems......Page 8 About this book......Page 13 I Lie Groups......Page 15 Group objects......Page 17 Lie algebra of a closed linear group......Page 19 Some analysis......Page 20 Classical compact Lie groups......Page 21 The classical groups......Page 22 Exercises......Page 23 Classical definition......Page 25 Manifold constructions......Page 26 Submanifolds......Page 27 Definition......Page 28 Integral curves......Page 29 Group actions......Page 30 Lie algebra of a Lie group......Page 31 Exercises......Page 32 The exponential map......Page 35 The Fundamental Theorem......Page 36 The definition......Page 39 Poincaré–Birkhoff–Witt theorem......Page 40 Ug is a bialgebra......Page 41 Geometry of the universal enveloping algebra......Page 42 The Baker–Campbell–Hausdorff Formula......Page 43 Relationship between Lie subgroups and Lie subalgebras......Page 44 Review of algebraic topology......Page 46 A dictionary between algebras and groups......Page 48 Basic examples: one- and two-dimensional Lie algebras......Page 49 Exercises......Page 50 Ug is a Hopf algebra......Page 55 Many definitions......Page 57 Nilpotency: Engel's theorem and corollaries......Page
Who reads Berkeley Lectures on Lie Groups and Quantum Groups?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Richard Borcherds, Mark Haiman, Theo Johnson-Freyd, Nicolai Reshetikhin, Vera Serganova
- Published
- 2018
- Language
- EN
- Category
- nonfiction
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