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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 …
Arnold Neumaier's user avatar
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 …
Arnold Neumaier's user avatar
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. …
Arnold Neumaier's user avatar
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 …
Arnold Neumaier's user avatar
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
Arnold Neumaier's user avatar
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four nearly identical unpublished papers by Dynin on the Clay mille …
Arnold Neumaier's user avatar
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 …
Arnold Neumaier's user avatar