Underwood, R.G.: An introduction to Hopf algebras. Springer (2011)R.G. Underwood. An Introduction to Hopf Algebras. Springer, 2011. 59Underwood, R. G. (2011). An introduction to Hopf algebras. Springer, Berlin.R. G. Underwood, An introduction to Hopf algebras, Springer, Berlin, 2011....
Group actions, group-gradings and actions of Lie algebras are all examples of the theory. However the most striking boost to the theory was given in the beginning of the 80s with the introduction of quantum groups. These are Hopf algebras arising from solutions to the quantum Yang–Baxter ...
N. Andruskiewitsch: An introduction to Nichols algebras, Quantization, geometry and noncommutative struc- tures in mathematics and physics, Math. Phys. Stud., Springer, Cham, 2017, 135-195. 2Andruskiewitsch, N.: An Introduction to Nichols Algebras. In Quantization, Ge- ometry and ...
1 Introduction The cohomology of groups is one of the crossroads of mathematics. It has its origins in representation theory, class field theory and algebraic topology, and thanks to the extraordinary work of Quillen, it has led to the modern development of algebraic K-theory. It is therefore...
14.1 Introduction to the Lorenz System 304 14.2 Elementary Properties of the Lorenz System 306 14.3 The Lorenz Attractor 310 14.4 A Model for the Lorenz Attractor 314 14.5 The Chaotic Attractor 319 14.6 Exploration: The Rössler Attractor 324 CHAPTER 15 Discrete Dynamical Systems 327 15.1 Introducti...
(A)formonomialHopfalgebrasandforaclassof cotriangularHopfalgebrasisperformed. ©2005ElsevierB.V.Allrightsreserved. MSC:16W30;20J06 0.Introduction In1968,Sweedlerdefinedin[32]thecohomologyforacocommutativeHopfalgebra HwithcoefficientsinamodulealgebraA,relatingittotheBrauergroupofafieldand ...
265.Claudia Alfes Neumann _ On harmonic weak Maass forms associated to even inte 51:07 266.Curtis McMullen _ Billiards and number theory 01:11:51 267.Elena Fuchs _ Connectivity of Markoff mod-p graphs 01:02:55 268.Narad Rampersad_ An introduction to Walnut - Lecture 2 01:38:04 ...
2388 -- 5:01:48 App 江永乐:Introduction to measure equivalence 815 -- 10:20:09 App 【Short Course】Derivations on Murray-von Neumann algebras 120 -- 1:43:46 App Hua Wang: Some aspects of a theory of locally convex Hopf algebras 1608 -- 1:40:11 App Hongyin Zhao: Perturbation theory...
It focuses on new results in classical Hopf algebras as well as the classification theory of finite dimensional Hopf algebras, categorical aspects of Hopf algebras, and recent advances in the theory of corings and quasi-Hopf algebras. It provides examples and basic properties of corings and their...
As to Frobenius algebras appearing in other branches of mathematics, see Humphreys [Hu82] for Lie algebras, Pareigis [Pa71] for Hopf algebras, and Kimura [Ki86] for Mikio Sato's theory of the prehomogeneous vector spaces associated with finite dimensional algebras. From there let us discuss...