Fission, fusion, and 6D RG flows
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DOI: 10.1007/jhep02(2019)167
Abstract: A bstractWe show that all known 6D SCFTs can be obtained iteratively from an underlying set of UV progenitor theories through the processes of “fission” and “fusion”. Fission consists of a tensor branch deformation followed… read more here.
Keywords: mathfrak; fission fusion; fusion; fusion flows ... See more keywords
Laws of the Lattices of $$\sigma $$-Local Formations of Finite Groups
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DOI: 10.1007/s00009-020-01510-w
Abstract: Let n be a positive integer, and let $$\sigma = \{\sigma _i \mid i \in I\}$$ be a partition of the set of all primes. It is shown that every law of the lattice of… read more here.
Keywords: local formations; finite groups; formations finite; sigma local ... See more keywords
The Golod property of powers of the maximal ideal of a local ring
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DOI: 10.1007/s00013-018-1152-6
Abstract: We identify minimal cases in which a power $$\mathfrak {m}^i\not =0$$mi≠0 of the maximal ideal of a local ring R is not Golod, i.e. the quotient ring $$R/\mathfrak {m}^i$$R/mi is not Golod. Complementary to a… read more here.
Keywords: ideal local; maximal ideal; mathfrak; ring golod ... See more keywords
Negative Ricci curvature on some non-solvable Lie groups II
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DOI: 10.1007/s00209-019-02310-z
Abstract: We construct many examples of Lie groups admitting a left-invariant metric of negative Ricci curvature. We study Lie algebras which are semidirect products $${\mathfrak {l}}= ({\mathfrak {a}} \oplus {\mathfrak {u}} ) < imes {\mathfrak {n}}$$… read more here.
Keywords: mathfrak; ricci curvature; lie groups; mathfrak mathfrak ... See more keywords
The R-Matrix Presentation for the Yangian of a Simple Lie Algebra
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DOI: 10.1007/s00220-018-3227-4
Abstract: Starting from a finite-dimensional representation of the Yangian $${Y (\mathfrak{g})}$$Y(g) for a simple Lie algebra $$ \mathfrak{g}$$g in Drinfeld’s original presentation, we construct a Hopf algebra $${{X}_\mathcal{I}(\mathfrak{g})}$$XI(g), called the extended Yangian, whose defining relations are… read more here.
Keywords: algebra; lie; matrix; simple lie ... See more keywords
Quasi Modules for the Quantum Affine Vertex Algebra in Type A
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DOI: 10.1007/s00220-019-03291-0
Abstract: We consider the quantum affine vertex algebra $${\mathcal{V}_{c}(\mathfrak{gl}_N)}$$Vc(glN) associated with the rational R-matrix, as defined by Etingof and Kazhdan. We introduce certain subalgebras $${\textrm{A}_c (\mathfrak{gl}_N)}$$Ac(glN) of the completed double Yangian $${\widetilde{\textrm{DY}}_{c}(\mathfrak{gl}_N)}$$DY~c(glN) at the level $${c\in\mathbb{C}}$$c∈C,… read more here.
Keywords: affine vertex; vertex algebra; mathfrak gln; quantum affine ... See more keywords
Functoriality of motivic lifts of the canonical construction
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DOI: 10.1007/s00229-019-01150-9
Abstract: Let $$(G,{\mathfrak {X}})$$ ( G , X ) be a Shimura datum and K a neat open compact subgroup of $$G(\mathbb {A}_f)$$ G ( A f ) . Under mild hypothesis on $$(G,{\mathfrak {X}})$$ (… read more here.
Keywords: canonical construction; construction; motivic lifts; lifts canonical ... See more keywords
Lie Algebras of Slow Growth and Klein-Gordon PDE
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DOI: 10.1007/s10468-018-9794-4
Abstract: AbstractWe discuss the notion of characteristic Lie algebra of a hyperbolic PDE. The integrability of a hyperbolic PDE is closely related to the properties of the corresponding characteristic Lie algebra χ. We establish two explicit… read more here.
Keywords: lie; lie algebras; mathfrak mathbb; pde ... See more keywords
Generalized Onsager Algebras
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DOI: 10.1007/s10468-019-09903-6
Abstract: Let g(A)$\mathfrak {g}(A)$ be the Kac-Moody algebra with respect to a symmetrizable generalized Cartan matrix A. We give an explicit presentation of the fix-point Lie subalgebra k(A)$\mathfrak {k}(A)$ of g(A)$\mathfrak {g}(A)$ with respect to the… read more here.
Keywords: mathfrak; presentation; generalized onsager; onsager algebras ... See more keywords
Weight-Finite Modules Over the Quantum Affine and Double Quantum Affine Algebras of Type $\mathfrak a_{1}$
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DOI: 10.1007/s10468-021-10080-8
Abstract: We define the categories of weight-finite modules over the type $\mathfrak a_1$ quantum affine algebra $\dot{\mathrm{U}}_q(\mathfrak a_1)$ and over the type $\mathfrak a_1$ double quantum affine algebra $\ddot{\mathrm{U}}_q(\mathfrak a_1)$ that we introduced in a previous… read more here.
Keywords: mathfrak; double quantum; weight finite; quantum affine ... See more keywords
Centralizing traces with automorphisms on triangular algebras
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DOI: 10.1007/s10474-018-0797-8
Abstract: AbstractLet $${\mathcal{T}}$$T be a triangular algebra over a commutative ring $${\mathcal{R}}$$R, $${\xi}$$ξ be an automorphism of $${\mathcal{T}}$$T and $${\mathcal{Z}_{\xi}(\mathcal{T})}$$Zξ(T) be the $${\xi}$$ξ-center of $${\mathcal{T}}$$T. Suppose that $${\mathfrak{q} \colon \mathcal{T} \times \mathcal{T} \longrightarrow \mathcal{T}}$$q:T×T⟶T is an… read more here.
Keywords: mathcal mathcal; traces automorphisms; centralizing traces; automorphisms triangular ... See more keywords