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Tagged with deformation-quantizationlie-algebra
3 questions
0votes
1answer
126views
Lie algebra with $\sim \!N^3$ generators [closed]
Is there a Lie algebra whose number of generators scales as $N^3$, or in general $N^p$ with $p$ an arbitrary positive integer? All the familiar examples, such as $\mathrm{U}(N)$ or $\mathrm{SU}(N)$ or ...
- 604
1vote
0answers
486views
Vanishing Poisson bracket with non-vanishing Moyal bracket
Let $M=\mathbb{R}^{2n}$ be the phase space with standard Poisson bracket on smooth functions on $M$. Fix a classical hamiltonian $h$ (function on $M$) and function $f$ generating symmetry of $h$ i.e. $...
- 231
7votes
2answers
793views
What is a Borel subalgebra?
Borel subalgebra appears here https://arxiv.org/abs/hep-th/9508170 in the context of quantum double of $SU(2)$. I request a layman explanation of what a Borel subalgebra is.
- 1,552
