Results 51 to 60 of about 210 (171)
Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
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Fuzzy Product KM-Subalgebras and Some Related Properties
Complexity, 2021 The concept of KM-algebras has been originated in 2019. KM-algebra is a generalization of some of the B-algebras such as BCK, BCI, BCH, BE, and BV and also d-algebras.
K. Kalaiarasi +5 more
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Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, Volume 299, Issue 7, Page 1751-1780, July 2026.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
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Leibniz algebras, having a dense family of ideals
Karpatsʹkì Matematičnì Publìkacìï, 2020 We say that a Leibniz algebra $L$ has a dense family of ideals, if for every pair of subalgebras $A$, $B$ of $L$ such that $A\leqslant B$ and $A$ is not maximal in $B$ there exists an ideal $S$ such that $A\leqslant S\leqslant B$.
N.N. Semko, L.V. Skaskiv, O.A. Yarovaya
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Cohomology of solvable saturable pro‐p$p$ groups and Lie algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let p$p$ be an odd prime and let n∈N$n\in \mathbb {N}$ be an integer. We show that the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of a solvable saturable pro‐p$p$ group is isomorphic to the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of its associated Zp$\mathbb {Z}_p$‐Lie algebra g$\mathfrak {g}$ as an Fp$\mathbb {F}_p$‐vector space.
Oihana Garaialde Ocaña +2 more
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Lattice Valued Fuzzy Sets in UP (BCC)-Algebras
International Journal of Analysis and Applications, 2023 The aim of this paper is to apply the concept of L-fuzzy sets (LFSs) to UP (BCC)-algebras and introduce five types of LFSs in UP (BCC)-algebras: L-fuzzy UP (BCC)-subalgebras, L-fuzzy near UP (BCC)-filters, L-fuzzy UP (BCC)-filters, L-fuzzy UP (BCC ...
Aiyared Iampan +4 more
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Equivalence Classes of Ideals in the Nilradical of a Borel Subalgebra [PDF]
Nagoya Mathematical Journal, 2006 AbstractAn equivalence relation is defined and studied on the set of B-stable ideals in the nilradical of the Lie algebra of a Borel subgroup B. Techniques are developed to compute the equivalence relation and these are carried out in the exceptional groups.
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Maximal ideals in subalgebras of 𝐶(𝑋) [PDF]
Proceedings of the American Mathematical Society, 1987 Let X X be a completely regular space, and let A ( X ) A(X) be a subalgebra of C ( X ) C(X) containing C ∗ ( X ) {C^ * }(X) .
Lothar Redlin, Saleem Watson
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Generalised spin Calogero–Moser systems from Cherednik algebras
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Integrable spin Calogero–Moser type systems with non‐symmetric configurations of the singularities of the potential appeared in the work of Chalykh, Goncharenko and Veselov in 1999. We obtain various generalisations of these examples by making use of the representation theory of Cherednik algebras.
Misha Feigin +2 more
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Abelian threefolds with imaginary multiplication
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Let A$A$ be an abelian threefold defined over a number field K$K$ with potential multiplication by an imaginary quadratic field M$M$. Under mild assumptions on K$K$, if A$A$ has signature (2,1) and the multiplication by M$M$ is defined over KM$KM$, we attach to A$A$ an elliptic curve defined over K$K$ with potential complex multiplication by M$
Francesc Fité, Pip Goodman
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