Zobrazeno 1 - 10
of 233
pro vyhledávání: '"Dray, Tevian"'
Publikováno v:
J. Math. Phys. 65, 031703 (2024)
We decompose the Lie algebra $\mathfrak{e}_{8(-24)}$ into representations of $\mathfrak{e}_{7(-25)}\oplus\mathfrak{sl}(2,\mathbb{R})$ using our recent description of $\mathfrak{e}_8$ in terms of (generalized) $3\times3$ matrices over pairs of divisio
Externí odkaz:
http://arxiv.org/abs/2401.10534
Publikováno v:
J. Math. Phys. 65, 031702 (2024)
We construct the well-known decomposition of the Lie algebra $\mathfrak{e}_8$ into representations of $\mathfrak{e}_6\oplus\mathfrak{su}(3)$ using explicit matrix representations over pairs of division algebras. The minimal representation of $\mathfr
Externí odkaz:
http://arxiv.org/abs/2309.00078
Publikováno v:
J. Math. Phys. 63, 081703 (2022)
We interpret the elements of the exceptional Lie algebra $\mathfrak{e}_{8(-24)}$ as objects in the Standard Model, including lepton and quark spinors with the usual properties, the Standard Model Lie algebra $\mathfrak{su}(3)+\mathfrak{su}(2)+\mathfr
Externí odkaz:
http://arxiv.org/abs/2204.05310
Publikováno v:
Lett. Math. Phys. 104 (2014), 1445-1468
A unified treatment of the $2 \times 2$ analog of the Freudenthal-Tits magic square of Lie groups is given, providing an explicit representation in terms of matrix groups over composition algebras.
Comment: 22 pages, 1 figure. Archive of paper p
Comment: 22 pages, 1 figure. Archive of paper p
Externí odkaz:
http://arxiv.org/abs/2009.00390
Autor:
Dray, Tevian, Rovelli, Carlo
Inside a black hole, there is no local way to say which side of a sphere is the inside, and which is the outside. One can easily be gulled by this fact into mixing up the sign of the energy. We lead the reader astray with a na\"ive treatment of the e
Externí odkaz:
http://arxiv.org/abs/1903.07123
Autor:
Dray, Tevian
We review the treatment of conservation laws in spacetimes that are glued together in various ways, thus adding a boundary term to the usual conservation laws. Several examples of such spacetimes will be described, including the joining of Schwarzsch
Externí odkaz:
http://arxiv.org/abs/1701.02863
Autor:
Dray, Tevian
Publikováno v:
The American Mathematical Monthly, 2020 Dec 01. 127(10), 867-879.
Externí odkaz:
https://www.jstor.org/stable/48661553
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