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Results tagged with qa.quantum-algebra
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user 24965
Quantum groups, skein theories, operadic and diagrammatic algebra, quantum field theory
4
votes
1
answer
323
views
About the term "tangential derivation" on a free Lie algebra.
Let $\mathcal{lie}_n$ be the free Lie algebra generated by $n$ elements $x_1,\ldots, x_n$. A derivation $u\in \text{Der}(\mathcal{lie}_n)$ is called tangential if there exist $a_i\in \mathcal{lie}_n, …
- 9,019
7
votes
1
answer
1k
views
What's the relation between the heat kernel proof of the index theorem and deformation quant...
In the book "Heat kernels and Dirac operators", I found the slogan by Quillen in the Introduction: "Dirac operators are a quantization of the theory of connections, and the supertrace of the heat kern …
- 9,019
4
votes
1
answer
259
views
What are the norms of the generators of the standard Podleś sphere?
Fix a real number $0<q<1$. We consider the standard Podles sphere $A_q$ as the universal unit $C^*$-algebra generated by $a$ and $b$ with relations
\begin{equation*}
\begin{split}
&a=a^*,~ ab=q^2ba, ~ …
- 9,019