Zobrazeno 1 - 10
of 3 485
pro vyhledávání: '"Killing form"'
Publikováno v:
Cubo, Vol 24, Iss 3, Pp 485-500 (2022)
We consider a compact Lie group with bi-invariant metric, coming from the Killing form. In this paper, we study Einstein warped product space, $M = M_1 \times_{f_1} M_2$ for the cases, $(i)$ $M_1$ is a Lie group $(ii)$ $M_2$ is a Lie group and $(iii)
Externí odkaz:
https://doaj.org/article/57245d779c1a45ed84c8e503b0051226
Akademický článek
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Autor:
J. C. Ndogmo
We show that any semi-direct sum $L$ of Lie algebras with Levi factor $S$ must be perfect if the representation associated with it does not possess a copy of the trivial representation. As a consequence, all invariant functions of $L$ must be Casimir
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9dc2a0e135d638aa1e4ecc868d00e1ea
http://arxiv.org/abs/2212.13298
http://arxiv.org/abs/2212.13298
Autor:
Andrei Moroianu, Viviana del Barco
Publikováno v:
Forum Mathematicum. 33:1331-1347
We study left-invariant conformal Killing $2$- or $3$-forms on simply connected $2$-step nilpotent Riemannian Lie groups. We show that if the center of the group is of dimension greater than or equal to 4, then every such form is automatically coclos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b334e2a32d008ed088f1600d45074bc1
https://doi.org/10.1515/forum-2021-0026
https://doi.org/10.1515/forum-2021-0026
Publikováno v:
Russian Mathematics. 65:44-60
Finite-dimensional Lie algebras with trivial Killing form are studied. The main properties of the Killing form are specified, a series of examples of Lie algebras with trivial or non-trivial Killing form are given. A classification of Lie algebras of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0bf2790f0ce4ebb880eb79b7f195e395
https://doi.org/10.3103/s1066369x21040046
https://doi.org/10.3103/s1066369x21040046
Autor:
Ivan Dimitrov, Rita Fioresi
Publikováno v:
Journal of Algebra. 570:678-701
We study the eigenspace decomposition of a basic classical Lie superalgebra under the adjoint action of a toral subalgebra, thus extending results of Kostant. In recognition of Kostant's contribution we refer to the eigenfunctions appearing in the de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e592e33e2cea547fb9d3fc8b9e75ba1c
https://doi.org/10.1016/j.jalgebra.2020.11.015
https://doi.org/10.1016/j.jalgebra.2020.11.015
Autor:
Amor Hasić
Publikováno v:
Advances in Linear Algebra & Matrix Theory. 11:67-91
This paper is made up of a desire for me to contribute to this beautiful field of mathematics that I have encountered in recent years. In addition, I would like to mention that I am not aware that there are papers in our Balkans on Lie algebra, altho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2552260166cc17d09fc287f278762fa2
https://doi.org/10.4236/alamt.2021.113006
https://doi.org/10.4236/alamt.2021.113006
Akademický článek
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Akademický článek
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Autor:
Chevallier, Emmanuel
In this paper we discuss the construction of probability distributions on the group SL(2, C) and the Möbius group using the exponential map. In particular, we describe the injectivity and surjectivity domains of the exponential map and provide its J
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::425ea6bc5d80a85dd9fa3b83c908fb8b
https://hal.archives-ouvertes.fr/hal-03463991
https://hal.archives-ouvertes.fr/hal-03463991