Zobrazeno 1 - 10
of 170
pro vyhledávání: '"V. K. Dobrev"'
Autor:
V. K. Dobrev
Publikováno v:
Symmetry, Vol 14, Iss 8, p 1592 (2022)
In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact algebra so∗(10). We use the maximal Heisenberg parabolic subalgebra P=M⊕A⊕N with M=su(3,1)⊕su(2)≅s
Externí odkaz:
https://doaj.org/article/56adde1ae7db4d1eb5ad5d6469b1049c
Autor:
V. K. Dobrev
Publikováno v:
Peter Suranyi 87th Birthday Festschrift ISBN: 9789811262340
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c25eca7a7a6df1aa3fe8113b3a415bd3
https://doi.org/10.1142/9789811262357_0009
https://doi.org/10.1142/9789811262357_0009
Autor:
N. Aizawa, V. K. Dobrev
Publikováno v:
Modern Physics Letters A. 37
In the present paper we construct explicitly the intertwining differential operators for the Jacobi algebra ${\cal G}_2.$ For the construction we use the singular vectors of the Verma modules over ${\cal G}_2$ which we have constructed earlier. We co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bceff0b94636e0b174397d1567125f35
https://doi.org/10.1142/s0217732322500675
https://doi.org/10.1142/s0217732322500675
Autor:
V. K. Dobrev
The main purpose of the present paper is to lay the foundations of generalizing the AdS/CFT (holography) idea beyond the conformal setting. The main tool is to find suitable realizations of the bulk and boundary via group theory. We use all ten famil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a8f4c08328b7245adc4d840dc94552b
http://arxiv.org/abs/2009.12582
http://arxiv.org/abs/2009.12582
Autor:
V. K. Dobrev
Publikováno v:
Quantum Theory and Symmetries ISBN: 9783030557768
With this paper we start the study of reducible representations of the Jacobi algebra with the ultimate goal of constructing differential operators invariant w.r.t. the Jacobi algebra. In this first paper we show examples of the low level singular ve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::888eb3a5f158b0b6c8d54a9061c54fba
https://doi.org/10.1007/978-3-030-55777-5_20
https://doi.org/10.1007/978-3-030-55777-5_20
Autor:
V. K. Dobrev
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9789811577741
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7eb04cafd9c4e0a97a5e46e0c128e74e
https://doi.org/10.1007/978-981-15-7775-8_29
https://doi.org/10.1007/978-981-15-7775-8_29
Autor:
V. K. Dobrev
Publikováno v:
Physics of Atomic Nuclei. 81:826-831
We construct representations of the quantum algebras Uq,q(gl(n)) and Uq,q(sl(n)) which are in duality with the multiparameter quantum groups GLqq(n), SLqq(n), respectively. These objects depend on n(n − 1)/2+ 1 deformation parameters q, qij (1 ≤
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::407cf1dd091a384589a797475356f994
https://doi.org/10.1134/s1063778818060121
https://doi.org/10.1134/s1063778818060121
Autor:
V. K. Dobrev
Publikováno v:
Physics of Particles and Nuclei. 49:818-822
—We construct representations of the quantum algebras $${{U}_{{q,{\mathbf{q}}}}}(gl(n))$$ and $${{U}_{{q,{\mathbf{q}}}}}(sl(n))$$ which depend on $$n(n - {{1)} \mathord{\left/ {\vphantom {{1)} 2}} \right. \kern-0em} 2} + 1$$ deformation parameters
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea99795ccfd91623381c95a2593ecafe
https://doi.org/10.1134/s1063779618050180
https://doi.org/10.1134/s1063779618050180
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 54:475202
In the present paper we study the representations of the Jacobi algebra. More concretely, we define, analogously to the case of semi-simple Lie algebras, the Verma modules over the Jacobi algebra ${\cal G}_2$. We study their reducibility and give exp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03bb72d8c9745610c7fc3ed180ef2165
https://doi.org/10.1088/1751-8121/ac2a05
https://doi.org/10.1088/1751-8121/ac2a05
Autor:
V. K. Dobrev
Publikováno v:
Physics of Particles and Nuclei Letters. 14:277-285
The present paper is part of the project of systematic construction of invariant differential operators of noncompact semisimple Lie algebras. Here we give a summary of all multiplets containing physically relevant representations including the minim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cfe3c6b07297ea4f77053d27de63c9bd
https://doi.org/10.1134/s154747711702008x
https://doi.org/10.1134/s154747711702008x