Zobrazeno 1 - 10
of 143
pro vyhledávání: '"Hans Plesner Jakobsen"'
Autor:
Hans Plesner Jakobsen
We construct homomorphic images of $su(n,n)^{\mathbb C}$ in Weyl Algebras ${\mathcal H}_{2nr}$. More precisely, and using the Bernstein filtration of ${\mathcal H}_{2nr}$, $su(n,n)^{\mathbb C}$ is mapped into degree $2$ elements with the negative non
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9ab53ae4e8a7bc751a3497e6880882f
http://arxiv.org/abs/2111.03378
http://arxiv.org/abs/2111.03378
Autor:
Hans Plesner Jakobsen
Publikováno v:
Communications in Algebra. 46:262-282
Based on [24], we point to a new and very useful direction of approach to a general set of problems. We exemplify it here by obtaining the center of a localization of 𝒰q(𝔫ω)⊆𝒰q+(𝔤) by the covariant elements (non-mutable elements). It i
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https://explore.openaire.eu/search/publication?articleId=doi_________::a83b6b04cf58cc541bef080c413bc6af
https://doi.org/10.1080/00927872.2017.1332197
https://doi.org/10.1080/00927872.2017.1332197
Autor:
Hans Plesner Jakobsen
Publikováno v:
Jakobsen, H P 2022, ' Algebras of variable coefficient quantized differential operators ', Journal of Mathematical Physics, vol. 63, no. 8, 081704, pp. 1-34 . https://doi.org/10.1063/5.0091631
In the framework of (vector valued) quantized holomorphic functions defined on non-commutative spaces, ``quantized hermitian symmetric spaces'', we analyze what the algebras of quantized differential operators with variable coefficients should be. It
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c751ab231a93610e562443de2f4f7a4
http://arxiv.org/abs/1905.04478
http://arxiv.org/abs/1905.04478
Autor:
Hans Plesner Jakobsen
Publikováno v:
Journal of Physics: Conference Series. 1194:012055
We study homomorphisms between quantized generalized Verma modules $M(V_{\Lambda})\stackrel{\phi_{\Lambda,\Lambda_1}}{\rightarrow}M(V_{\Lambda_1})$ for ${\mathcal U}_q(su(n,n))$. There is a natural notion of degree for such maps, and if the map is of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05117c84a4d32e89d06c2ff4cc8c6349
https://doi.org/10.1088/1742-6596/1194/1/012055
https://doi.org/10.1088/1742-6596/1194/1/012055
Publikováno v:
Kac-Moody Lie Algebras and Related Topics. :147-165
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7002e62a8583f91654ceb5025a7cd02e
https://doi.org/10.1090/conm/343/06188
https://doi.org/10.1090/conm/343/06188
Autor:
Søren Jøndrup, Hans Plesner Jakobsen
Publikováno v:
Journal of Algebra. 246(1):70-96
First some old as well as new results about P.I. algebras, Ore extensions, and degrees are presented. Then quantized $n\times r$ matrices as well as quantized factor algebras of $M_q(n)$ are analyzed. The latter are the quantized function algebra of
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1851695761a0bece24d703de5e6878e3
Autor:
C.-W. H. Lee, Hans Plesner Jakobsen
Publikováno v:
Journal of Mathematical Physics. 42:3817-3838
There is a decomposition of a Lie algebra for open matrix chains akin to the triangular decomposition. We use this decomposition to construct unitary irreducible representations. All multiple meson states can be retrieved this way. Moreover, they are
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c73bd850439877c7abf0dbe91a747cc
https://doi.org/10.1063/1.1384866
https://doi.org/10.1063/1.1384866
Autor:
Hechun Zhang, Hans Plesner Jakobsen
Publikováno v:
Journal of Mathematical Physics. 41:2310-2336
A natural family of quantized matrix algebras is introduced. It includes the two best studied such. Located inside Uq(A2n−1), it consists of quadratic algebras with the same Hilbert series as polynomials in n2 variables. We discuss their general pr
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https://explore.openaire.eu/search/publication?articleId=doi_________::da8b96989080314dc8ddbfd564c6443b
https://doi.org/10.1063/1.533241
https://doi.org/10.1063/1.533241
Autor:
Hans Plesner Jakobsen
Publikováno v:
Czechoslovak Journal of Physics. 50:1265-1270
We determine what should correspond to the Dirac operator on certain quantized hermitian symmetric spaces and what its properties are. A new insight into the quantized wave operator is obtained.
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https://explore.openaire.eu/search/publication?articleId=doi_________::1aec4598ccf74fe6d2ab67cb0a559d46
https://doi.org/10.1023/a:1022865125117
https://doi.org/10.1023/a:1022865125117
Autor:
Hechun Zhang, Hans Plesner Jakobsen
Publikováno v:
Algebras and Representation Theory. 3:151-174
We investigate the algebra Fq(N) introduced by Faddeev, Reshetikhin and Takhadjian. In the case where q is a primitive root of unity, the degree, the center, and the set of irreducible representations are found. The Poisson structure is determined an
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https://doi.org/10.1023/a:1009937429349
https://doi.org/10.1023/a:1009937429349