terminology - What is quantum algebra? - MathOverflow
2018年1月12日 · Quantum algebra is an umbrella term used to describe a number of different mathematical ideas, all of which are linked back to the original realisation that in quantum …
qa.quantum algebra - Quantum Frobenius - MathOverflow
2009年11月3日 · It is a generalization in the following sense (everything I'm saying is in Lusztig's papers): the quantum group is a deformation of the classical enveloping algebra, and it's in …
Newest 'qa.quantum-algebra' Questions - MathOverflow
Questions tagged [qa.quantum-algebra] Ask Question Quantum groups, skein theories, operadic and diagrammatic algebra, quantum field theory
Why should affine lie algebras and quantum groups have …
I don't have the references to hand but as no-one else has offered an explanation, here is how I understand it. The representation category of the Kac-Moody algebra is the fusion category of …
Quantum mathematics? - MathOverflow
I think that the basic intuition relating quantum algebra and quantum physics is something like: quantum stuff = classical stuff + $\hbar$ (something complicated) where $\hbar$ is a "small" …
qa.quantum algebra - About the integral form of a quantum group ...
2017年3月8日 · If you want $\mathbb{Q}$, then just tensor with $\mathbb{Q}$. 2. I have no idea what you mean. The specialization is most naturally an algebra over $\mathbb{C}$; it's true …
qa.quantum algebra - Which is the correct version of a quantum …
The quotient by this subalgebra gives the usual universal enveloping algebra via something called the quantum Frobenius map. The main representation that people look at are the "tilting …
qa.quantum algebra - Why are fusion categories interesting ...
A finite-dimensional Hopf algebra is that too, but they don't have to be semisimple, while the semisimple ones give you many fusion categories, but again not by any means all of them. …
qa.quantum algebra - Why are quantum groups so called?
2016年1月8日 · A quantum group is: A Hopf algebra which deforms the Hopf algebra of functions on a group, but where the ...
quantum groups - Drinfeld's equivalence of quantized function …
In his 1986 ICM address, Drinfeld discusses a way of producing a quantized function algebra (or more precisely a quantized formal series Hopf algebra) from a quantized universal enveloping …