$${{\,\mathrm{{\mathfrak {L}}}\,}}$$-prolongations of graded Lie algebras
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DOI: 10.1007/s10711-020-00510-0
Abstract: In this paper we translate the necessary and sufficient conditions of Tanaka’s theorem on the finiteness of effective prolongations of a fundamental graded Lie algebras into computationally effective criteria, involving the rank of some matrices… read more here.
Keywords: mathfrak prolongations; lie algebras; prolongations graded; mathrm mathfrak ... See more keywords
Green-type identities for Rockland operators on graded Lie groups
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DOI: 10.1007/s11785-018-0824-3
Abstract: This paper considers the analogues of Green-type formulae for Rockland operators on graded Lie groups. Furthermore, we also discuss some of their consequences. read more here.
Keywords: rockland operators; lie groups; green type; graded lie ... See more keywords
Nonexistence Results for the Hyperbolic-Type Equations on Graded Lie Groups
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DOI: 10.1007/s40840-020-00919-6
Abstract: In this paper, we deal with systems of wave and pseudo-hyperbolic equations. Some semilinear equations for hypoelliptic operators on $${\mathbb {R}}^{n}$$, Heisenberg groups, stratified Lie groups and graded Lie groups are studied. In particular, we… read more here.
Keywords: pseudo hyperbolic; hyperbolic equations; lie groups; nonexistence results ... See more keywords
Constituents of graded Lie algebras of maximal class and chains of thin Lie algebras
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DOI: 10.1080/00927872.2021.1967368
Abstract: Abstract A thin Lie algebra is a Lie algebra L, graded over the positive integers, with its first homogeneous component L 1 of dimension two and generating L, and such that each nonzero ideal of… read more here.
Keywords: lie; lie algebras; maximal class; thin lie ... See more keywords
Graded systems of quotients and Martindale-like quotients of graded Lie triple systems
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DOI: 10.1080/00927872.2022.2147534
Abstract: Abstract The paper is devoted to introducing graded systems of quotients of graded Lie triple systems, graded weak systems of quotients of graded Lie triple systems and graded systems of Martindale-like quotients of graded Lie… read more here.
Keywords: triple systems; quotients graded; graded systems; lie triple ... See more keywords