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pro vyhledávání: '"Jackson, Steven Glenn"'
Let $G_{\mathbb R}$ be the set of real points of a complex linear reductive group and $\hat G_\lambda$ its classes of irreducible admissible representations with infinitesimal integral regular character $\lambda$. In this case each cell of representa
Externí odkaz:
http://arxiv.org/abs/1810.05556
Autor:
Harshman, N. L., Olshanii, Maxim, Dehkharghani, A. S., Volosniev, A. G., Jackson, Steven Glenn, Zinner, N. T.
Publikováno v:
Phys. Rev. X 7, 041001 (2017)
We show that the dynamics of particles in a one-dimensional harmonic trap with hard-core interactions can be solvable for certain arrangements of unequal masses. For any number of particles, there exist two families of unequal mass particles that hav
Externí odkaz:
http://arxiv.org/abs/1704.01433
Autor:
Jackson, Steven Glenn, Lachowska, Anna
This is a brief note on a numerical computation of the dimension of the center of the small quantum group u_q(sl_3) at the 5th root of unity. The obtained dimension is 57. Using the description of the regular block of the center for u_q(sl_3), given
Externí odkaz:
http://arxiv.org/abs/1611.08872
Publikováno v:
Phys. Rev. A 97, 013630 (2018)
A quantum Galilean cannon is a 1D sequence of $N$ hard-core particles with special mass ratios, and a hard wall; conservation laws due to the reflection group $A_{N}$ prevent both classical stochastization and quantum diffraction. It is realizable th
Externí odkaz:
http://arxiv.org/abs/1610.01060
Publikováno v:
In Advances in Applied Mathematics September 2021 130
We study the polyhedral geometry of the hyperplanes orthogonal to the weights of the first and the second fundamental representations of $sl_n$ inside the dual fundamental Weyl chamber. We obtain generating functions that enumerate the flats and the
Externí odkaz:
http://arxiv.org/abs/1601.05070
We study the central hyperplane arrangement whose hyperplanes are the vanishing loci of the weights of the first and the second fundamental representations of $\mathfrak{gl}_n$ restricted to the dual fundamental Weyl chamber. We obtain generating fun
Externí odkaz:
http://arxiv.org/abs/1508.03038
Publikováno v:
In Advances in Applied Mathematics August 2020 119
Publikováno v:
In Advances in Applied Mathematics August 2020 119
Let $M$ be a Riemannian globally symmetric space of compact type, $M'$ its set of maximal flat totally geodesic tori, and $\mathrm{ad}(M)$ its adjoint space. We show that the kernel of the maximal flat Radon transform $\tau:L^2(M) \rightarrow L^2(M')
Externí odkaz:
http://arxiv.org/abs/1406.7219