Results 11 to 20 of about 188,766 (316)

Cohomology of simple modules for sl3(k) in characteristic 3 [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper we calculate cohomology of a classical Lie algebra of type A2 over an algebraically field k of characteristic p = 3 with coefficients in simple modules. To describe their structure we will consider them as modules over an algebraic
A.A. Ibrayeva
doaj   +3 more sources

Varieties of a class of elementary subalgebras

open access: yesAIMS Mathematics, 2022
Let $ G $ be a connected standard simple algebraic group of type $ C $ or $ D $ over an algebraically closed field $ \Bbbk $ of positive characteristic $ p > 0 $, and $ \mathfrak{g}: = \mathrm{Lie}(G) $ be the Lie algebra of $ G $.
Yang Pan, Yanyong Hong
doaj   +1 more source

General Helices of AW(k)-Type in the Lie Group

open access: yesJournal of Applied Mathematics, 2012
We study curves of AW(k)-type in the Lie group G with a bi-invariant metric. Also, we characterize general helices in terms of AW(k)-type curve in the Lie group G.
Dae Won Yoon
doaj   +1 more source

On a Sufficient Condition for the Existence of a Periodic Part in the Shunkov Group

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2017
The group $ G $ is saturated with groups from the set of groups if any a finite subgroup $ K $ of $ G $ is contained in a subgroup of $ G $, which is isomorphic to some group in $ \mathfrak{X} $.
A.A. Shlepkin
doaj   +1 more source

Disconnected 0-form and 2-group symmetries

open access: yesJournal of High Energy Physics, 2023
Quantum field theories can have both continuous and finite 0-form symmetries. We study global symmetry structures that arise when both kinds of 0-form symmetries are present. The global structure associated to continuous 0-form symmetries is described by
Lakshya Bhardwaj, Dewi S. W. Gould
doaj   +1 more source

Generation of Finite Groups of Lie Type [PDF]

open access: yesTransactions of the American Mathematical Society, 1982
Let p p be an odd prime and G G a finite group of Lie type in characteristic other than p p . Fix an elementary abelian p p -subgroup of Aut ⁡ ( G ) \operatorname {Aut} (G) .
openaire   +1 more source

Lie Group Classification of a Generalized Lane-Emden Type System in Two Dimensions

open access: yesJournal of Applied Mathematics, 2012
The aim of this work is to perform a complete Lie symmetry classification of a generalized Lane-Emden type system in two dimensions which models many physical phenomena in biological and physical sciences.
Motlatsi Molati, Chaudry Masood Khalique
doaj   +1 more source

Black box exceptional groups of Lie type [PDF]

open access: yesTransactions of the American Mathematical Society, 2013
If a black box group is known to be isomorphic to an exceptional simple group of Lie type of (twisted) rank > 1 >1 , other than any 2 F 4 ( q ) ^2\kern -.8pt F_4(q) , over a field of known size, a Las ...
Kantor, W. M., Magaard, K.
openaire   +3 more sources

Extended symmetry of the Witten-Dijkgraaf-Verlinde-Verlinde equation of Monge-Ampere type [PDF]

open access: yesOpuscula Mathematica
We construct the Lie algebra of extended symmetry group for the Monge-Ampere type Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation. This algebra includes novel generators that are unobtainable within the framework of the classical Lie approach and ...
Patryk Sitko, Ivan Tsyfra
doaj   +1 more source

Doubled aspects of generalised dualities and integrable deformations

open access: yesJournal of High Energy Physics, 2019
The worldsheet theories that describe Poisson-Lie T-dualisable σ-models on group manifolds as well as integrable η, λ and β-deformations provide examples of ℰ-models.
Saskia Demulder   +2 more
doaj   +1 more source

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