Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Sheu, Albert"'
The multipullback quantization of complex projective spaces lacks the naive quantum CW-complex structure because the quantization of an embedding of the $n$-skeleton into the $(n+1)$-skeleton does not exist. To overcome this difficulty, we introduce
Externí odkaz:
http://arxiv.org/abs/2002.09015
Publikováno v:
SIGMA 16 (2020), 073, 14 pages
In our attempt to explore how the quantum nonstandard complex projective spaces $\mathbb{C}P_{q,c}^{n}$ studied by Korogodsky, Vaksman, Dijkhuizen, and Noumi are related to those arising from the geometrically constructed Bohr-Sommerfeld groupoids by
Externí odkaz:
http://arxiv.org/abs/2002.03439
Autor:
Sheu, Albert Jeu-Liang
We give a complete classification of isomorphism classes of finitely generated projective modules, or equivalently, unitary equivalence classes of projections, over the C*-algebra $C\left( \mathbb{S}_{q}^{2n+1}\right) $ of the quantum homogeneous sph
Externí odkaz:
http://arxiv.org/abs/1903.02989
The notion and theory of the quantum space of all maps from a quantum space pioneered by So{\l}tan have been mainly focused on finite-dimensional C*-algebras which are matrix algebra bundles over a finite set $S$. We propose a modification of this no
Externí odkaz:
http://arxiv.org/abs/1809.11107
Autor:
Sheu, Albert Jeu-Liang
We work on the classification of isomorphism classes of finitely generated projective modules over the C*-algebras $C\left( \mathbb{P}^{n}\left( \mathcal{T}\right) \right) $ and $C\left( \mathbb{S}_{H}^{2n+1}\right) $ of the quantum complex projectiv
Externí odkaz:
http://arxiv.org/abs/1705.04611
Autor:
Sheu, Albert Jeu-Liang
Publikováno v:
International Journal of Mathematics, Vol. 28, No. 3 (2017) 1750022
Taking a groupoid C*-algebra approach to the study of the quantum complex projective spaces $\mathbb{P}^{n}\left( \mathcal{T}\right) $ constructed from the multipullback quantum spheres introduced by Hajac and collaborators, we analyze the structure
Externí odkaz:
http://arxiv.org/abs/1605.01968
Autor:
Peterka, Mira A., Sheu, Albert J. L.
Publikováno v:
International Journal of Geometric Methods in Modern Physics Vol. 14, No. 5 (2017) 1750071
We make some observations about Rosenberg's Levi-Civita connections on noncommutative tori, noting the non-uniqueness of torsion-free metric-compatible connections without prescribed connection operator for the inner *-derivations, the nontrivial cur
Externí odkaz:
http://arxiv.org/abs/1511.02901
Autor:
Sheu, Albert Jeu-Liang
Publikováno v:
SIGMA 10 (2014), 027, 11 pages
Over the quantum weighted 1-dimensional complex projective spaces, called quantum teardrops, the quantum line bundles associated with the quantum principal U(1)-bundles introduced and studied by Brzezinski and Fairfax are explicitly identified among
Externí odkaz:
http://arxiv.org/abs/1403.5626
Autor:
Sheu, Albert Jeu-Liang
We show how the C*-algebras of quantum complex projective spaces (standard or nonstandard) are related to groupoids.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/math/9802083
Autor:
Sheu, Albert Jeu-Liang
We show that the standard SU(n)-covariant Poisson sphere $S^{2n-1}$ is embedded in the nonstandard $SU(n+1)$-covariant Poisson complex projective spaces $CP^{n}$.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/math/9802082