Local homomorphisms of modular Lie algebras of Cartan type (in Ukrainian)

Let L(m) be one of the finite dimensional modular Lie algebras W_n(m), S_n(m), H_n(m) and let L be one of corresponding p-algebras W_n, S_n, H_n. We prove that there exists a nontrivial map from the algebra S(L)^L of symmetrical invariants into the algebra S(L(m))^L(m).

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Main Author: L. P. Bedratyuk
Format: Article
Language:deu
Published: Ivan Franko National University of Lviv 2011-05-01
Series:Математичні Студії
Subjects:
Online Access:http://matstud.org.ua/texts/2011/35_2/115-120.pdf
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author L. P. Bedratyuk
author_facet L. P. Bedratyuk
author_sort L. P. Bedratyuk
collection DOAJ
description Let L(m) be one of the finite dimensional modular Lie algebras W_n(m), S_n(m), H_n(m) and let L be one of corresponding p-algebras W_n, S_n, H_n. We prove that there exists a nontrivial map from the algebra S(L)^L of symmetrical invariants into the algebra S(L(m))^L(m).
format Article
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institution Kabale University
issn 1027-4634
language deu
publishDate 2011-05-01
publisher Ivan Franko National University of Lviv
record_format Article
series Математичні Студії
spelling doaj-art-7cd5290a368c4432a28d14f8ff5747db2025-08-20T03:56:59ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342011-05-01352115120Local homomorphisms of modular Lie algebras of Cartan type (in Ukrainian)L. P. BedratyukLet L(m) be one of the finite dimensional modular Lie algebras W_n(m), S_n(m), H_n(m) and let L be one of corresponding p-algebras W_n, S_n, H_n. We prove that there exists a nontrivial map from the algebra S(L)^L of symmetrical invariants into the algebra S(L(m))^L(m).http://matstud.org.ua/texts/2011/35_2/115-120.pdfLie algebrasymmetrical invariants
spellingShingle L. P. Bedratyuk
Local homomorphisms of modular Lie algebras of Cartan type (in Ukrainian)
Математичні Студії
Lie algebra
symmetrical invariants
title Local homomorphisms of modular Lie algebras of Cartan type (in Ukrainian)
title_full Local homomorphisms of modular Lie algebras of Cartan type (in Ukrainian)
title_fullStr Local homomorphisms of modular Lie algebras of Cartan type (in Ukrainian)
title_full_unstemmed Local homomorphisms of modular Lie algebras of Cartan type (in Ukrainian)
title_short Local homomorphisms of modular Lie algebras of Cartan type (in Ukrainian)
title_sort local homomorphisms of modular lie algebras of cartan type in ukrainian
topic Lie algebra
symmetrical invariants
url http://matstud.org.ua/texts/2011/35_2/115-120.pdf
work_keys_str_mv AT lpbedratyuk localhomomorphismsofmodularliealgebrasofcartantypeinukrainian