Results 31 to 40 of about 69 (66)
On extensions of the Jacobson–Morozov theorem to even characteristic
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract Let G$G$ be a simple algebraic group over an algebraically closed field k$\mathbb {k}$ of characteristic 2. We consider analogues of the Jacobson–Morozov theorem in this setting. More precisely, we classify those nilpotent elements with a simple 3‐dimensional Lie overalgebra in g:=Lie(G)$\mathfrak {g}:=\operatorname{Lie}(G)$ and also those ...
David I. Stewart, Adam R. Thomas
wiley +1 more source
Classification conjectures for Leavitt path algebras
Bulletin of the London Mathematical Society, Volume 56, Issue 10, Page 3011-3060, October 2024.Abstract The theory of Leavitt path algebras is intrinsically related, via graphs, to the theory of symbolic dynamics and C∗$C^*$‐algebras where the major classification programs have been a domain of intense research in the last 50 years. In this article, we gather together current lines of research in the classification of Leavitt path algebras ...
Guillermo Cortiñas, Roozbeh Hazrat
wiley +1 more source
Link splitting deformation of colored Khovanov–Rozansky homology
Proceedings of the London Mathematical Society, Volume 129, Issue 3, September 2024.Abstract We introduce a multiparameter deformation of the triply‐graded Khovanov–Rozansky homology of links colored by one‐column Young diagrams, generalizing the “y$y$‐ified” link homology of Gorsky–Hogancamp and work of Cautis–Lauda–Sussan. For each link component, the natural set of deformation parameters corresponds to interpolation coordinates on ...
Matthew Hogancamp +2 more
wiley +1 more source
Analytic Nullstellensätze and the model theory of valued fields
Mathematische Nachrichten, Volume 297, Issue 8, Page 2873-2917, August 2024.Abstract We present a uniform framework for establishing Nullstellensätze for power series rings using quantifier elimination results for valued fields. As an application, we obtain Nullstellensätze for p$p$‐adic power series (both formal and convergent) analogous to Rückert's complex and Risler's real Nullstellensatz, as well as a p$p$‐adic analytic ...
Matthias Aschenbrenner, Ahmed Srhir
wiley +1 more source
Octonionic Magical Supergravity, Niemeier Lattices, and Exceptional & Hilbert Modular Forms
Fortschritte der Physik, Volume 72, Issue 2, February 2024.Abstract The quantum degeneracies of Bogomolny‐Prasad‐Sommerfield (BPS) black holes of octonionic magical supergravity in five dimensions are studied. Quantum degeneracy is defined purely number theoretically as the number of distinct states in charge space with a given set of invariant labels.
Murat Günaydin, Abhiram Kidambi
wiley +1 more source
Decomposition numbers for abelian defect RoCK blocks of double covers of symmetric groups
Journal of the London Mathematical Society, Volume 109, Issue 2, February 2024.Abstract We calculate the (super)decomposition matrix for a RoCK block of a double cover of the symmetric group with abelian defect, verifying a conjecture of the first author. To do this, we exploit a theorem of the second author and Livesey that a RoCK block Bρ,d$\mathcal {B}^{\rho,d}$ is Morita superequivalent to a wreath superproduct of a certain ...
Matthew Fayers +2 more
wiley +1 more source
A p$p$‐adic approach to the existence of level‐raising congruences
Proceedings of the London Mathematical Society, Volume 128, Issue 2, February 2024.Abstract We construct level‐raising congruences between p$p$‐ordinary automorphic representations, and apply this to the problem of symmetric power functoriality for Hilbert modular forms. In particular, we prove the existence of the nth$n\text{th}$ symmetric power lift of a Hilbert modular eigenform of regular weight for each odd integer n=1,3,⋯,25$n =
Jack A. Thorne
wiley +1 more source
Equivariant resolutions over Veronese rings
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract Working in a polynomial ring S=k[x1,…,xn]$S={\mathbf {k}}[x_1,\ldots ,x_n]$, where k${\mathbf {k}}$ is an arbitrary commutative ring with 1, we consider the d$d$th Veronese subalgebras R=S(d)$R={S^{(d)}}$, as well as natural R$R$‐submodules M=S(⩾r,d)$M={S^{({\geqslant r},{d})}}$ inside S$S$.
Ayah Almousa +4 more
wiley +1 more source
Varieties having directly decomposable congruence classes [PDF]
, 1986 Duda, Jaromír
core +1 more source
Mal'cev conditions for directly decomposable compatible relations [PDF]
, 1989 Duda, Jaromír, Jarom�r Duda
core +1 more source