Zobrazeno 1 - 10
of 1 962
pro vyhledávání: '"Representation theory of SU"'
Autor:
Vignon Oussa
Publikováno v:
Journal of Functional Analysis. 274:1202-1254
In this work, we provide a unified method for the construction of reproducing systems arising from unitary irreducible representations of some solvable Lie groups. In contrast to other well-known techniques such as the coorbit theory, the generalized
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c557976ba2c2c56bc9f22b5553065038
https://doi.org/10.1016/j.jfa.2017.07.009
https://doi.org/10.1016/j.jfa.2017.07.009
Autor:
Yu Chen
Publikováno v:
Linear Algebra and its Applications. 536:174-185
The main purpose of this paper is to determine all matrix representations of the real numbers. It is shown that every such representation is completely reducible, while all non-trivial irreducible representations must be of 2-dimensional and can be e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eeb675a9550b2a76d6e3f49b6bc51093
https://doi.org/10.1016/j.laa.2017.09.012
https://doi.org/10.1016/j.laa.2017.09.012
Autor:
Saad Owaid, Zainab Subhi
Publikováno v:
Mustansiriyah Journal of Science, Vol 27, Iss 5, Pp 74-82 (2017)
This work, presents four kinds of adjoint representations for the special unitary matrix Lie group SU(2) and the special unitary, special linear matrix Lie algebras su(2) and sl(2). In the first two we assume the vector spaces as the matrix Lie algeb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd9b1a30f4e989c95911779e6c4cc4eb
https://doi.org/10.23851/mjs.v27i5.171
https://doi.org/10.23851/mjs.v27i5.171
Autor:
M. I. Graev, Anatoly Vershik
Publikováno v:
Journal of Mathematical Sciences. 224:231-237
In the paper, a family of representations of maximal solvable subgroups of the simple Lie groups O(p, q), U(p, q), and Sp(p, q), where 1 ≤ p ≤ q, is introduced. These subgroups are called the Iwasawa subgroups of the corresponding simple groups.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::08591845d0e85068e45e0d03bc3acd88
https://doi.org/10.1007/s10958-017-3408-2
https://doi.org/10.1007/s10958-017-3408-2
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
Publikováno v:
Iranian Journal of Science and Technology, Transactions A: Science. 41:59-64
In this paper, using an action of generalized Lie groups on a smooth manifold, we define a representation of a generalized Lie group. Also, we show that there is a Haar measure on a compact generalized Lie group and prove that any finite-dimensional
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac32c9dc0288b8136a491479b2251f5f
https://doi.org/10.1007/s40995-017-0196-y
https://doi.org/10.1007/s40995-017-0196-y
Autor:
H. Fakhri
Publikováno v:
Journal of Nonlinear Mathematical Physics. 17:137
In the space of complex-valued smooth functions on S2 × S1, we explicitly realize a Weil representation of the real Lie algebra sp(4) by means of differential generators. This representation is a rare example of highest weight irreducible representa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::56c04ac8cf3c683cebf0734803313b93
https://doi.org/10.1142/s1402925110000660
https://doi.org/10.1142/s1402925110000660
Autor:
B. Sury
Publikováno v:
Resonance. 21:1073-1091
Weyl was a universal mathematician whose fundamental contributions to mathematics encompassed all areas, and provided a unification seldom seen. His work on the theory of Lie groups was motivated by his life-long interest in quantum mechanics and rel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10261437df30d49f09d68be98644e44d
https://doi.org/10.1007/s12045-016-0420-7
https://doi.org/10.1007/s12045-016-0420-7
Autor:
P. Bibikov, Valentin Lychagin
Publikováno v:
Lobachevskii Journal of Mathematics. 37:36-49
In this paper we discuss an approach to the study of orbits of actions of semisimple Lie groups in their irreducible complex representations,which is based on differential invariants on the one hand, and on geometry of reductive homogeneous spaces on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2af11a72bf7cac0da76f0415ab57f9f5
https://doi.org/10.1134/s1995080216010030
https://doi.org/10.1134/s1995080216010030