An Introduction to Hopf Algebras. Springer, 2011. 59R. G. Underwood, An introduction to Hopf algebras, Springer, Berlin, 2011.R. G. Underwood, An Introduction to Hopf Algebras, Springer, New York, to appear. Received: February 6, 2008...
An Introduction to Hopf Algebras There are several ways that one can describe Hopf algebras. Historically, Hopf algebras arose in the 1940s by Hopf et al. as a tool used to study the cohom... RG Underwood - Springer New York 被引量: 21发表: 2011年 Determinants and Economic Consequences ...
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 ...
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...
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...
From Hopf algebras to multiplicative unitaries and beyond This book provides an introduction to the theory of quantum groups with emphasis on their duality and on the setting of operator algebras.Part I of the tex... T Timmermann 被引量: 228发表: 0年 Construction of relativistic quantum fields...
The purpose of this paper is two fold: we study the behaviour of the forgetful functor from S-modules to graded vector spaces in the context of algebras over an operad and derive from this theory the construction of combinatorial Hopf algebras. As a byproduct we obtain freeness and cofreene...
Conference Board of the Mathematical Sciences(共36册),这套丛书还有 《Introduction to Intersection Theory in Algebraic Geometry》《Hopf Algebras and Their Actions on Rings》《Nonlinear Dispersive Equations》《Arrangements and Spreads/CBMS Regional Conference Series in Mathematics (Regional conference series in...
An Invitation to Quantum Groups and Duality This book provides an introduction to the theory of quantum groups with emphasis on their duality and on the setting of operator algebras.Part I of the tex... T Timmermann - An Invitation to Quantum Groups and Duality: From Hopf Algebras to Multipli...
The Rössler Attractor 324 CHAPTER 15 Discrete Dynamical Systems 327 15.1 Introduction to Discrete Dynamical Systems 327 15.2 Bifurcations 332 15.3 The Discrete Logistic Model 335 15.4 Chaos 337 15.5 Symbolic Dynamics 342 15.6 The Shift Map 347 15.7 The Cantor Middle-Thirds Set 349 15.8 Exploration...