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This tag is used if a reference is needed in a paper or textbook on a specific result.
3
votes
1
answer
323
views
Earliest source for a Lie algebra construction
I am looking for the earliest reference to the fact that any associative algebra becomes a Lie algebra with bracket $AXB-BXA$, where $X$ is a fixed element of the algebra. This is observed in the foll …
6
votes
1
answer
317
views
Unitary irreps of the Poincare group in dimension <4
It is well-known that long ago, Wigner classified the unitary irreducible representations of the Poincare group in dimension 4.
I am looking for a convenient reference describing all unitary irreduc …
7
votes
Accepted
Unitary irreps of the Poincare group in dimension <4
I finally found a complete analysis for dimension 3 in
D.R. Grigore, The projective unitary irreducible representations of the Poincaré group in 1+2 dimensions, J. Math. Phys. 34 (1993), 4172-4189.
…
2
votes
2
answers
598
views
Complete representation theory of $\mathrm{SL}(2,\mathbb R)$
$\DeclareMathOperator\SL{SL}\DeclareMathOperator\GL{GL}$Is the complete representation theory of $\SL(2,\mathbb R)$, $\GL(2,\mathbb R)$, $\SL(2,\mathbb C)$, and $\GL(2,\mathbb C)$ known, in the sense …
8
votes
Accepted
Some explanation about Dynin's formalism
The paper is currently (and will be at least for a few days) under discussion at
http://www.physicsoverflow.org/21786/energy-mass-spectrum-yang-mills-bosons-infinite-and-discrete
7
votes
Some explanation about Dynin's formalism
I reviewed at
http://www.physicsoverflow.org/21786/energy-mass-spectrum-yang-mills-bosons-infinite-and-discrete?show=21846#a21846
four nearly identical unpublished papers by Dynin on the Clay mille …
19
votes
7
answers
2k
views
Supermanifolds — elementary introduction?
I am looking for an elementary but mathematically precise introductory text on supermanifolds in a modern differential geometric setting.
Elementary in the sense that there is plenty of motivation for …