A recurrence relation for characters of highest weight integrable modules for affine Lie algebras [PDF]
, 2005 William J. Cook +2 more
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Coxeter's enumeration of Coxeter groups
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley +1 more source
Intertwining operator algebras and vertex tensor categories for affine Lie algebras [PDF]
, 1999 Yi-Zhi Huang, James Lepowsky
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Siegel–Veech constants for cyclic covers of generic translation surfaces
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
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Equivalence of certain categories of modules for quantized affine lie algebras [PDF]
, 2000 Vyacheslav Futorny, Duncan J. Melville
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Quadratic Relations of the Deformed $W$-Algebra for the Twisted Affine Lie Algebra of Type $A_{2N}^{(2)}$ [PDF]
, 2021 Takeo Kojima
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Geometry and affine Lie algebras
Journal of Algebra, 1990 Generalizing work of \textit{J. R. Faulkner} [J. Algebra 26, 1--9 (1973; Zbl 0285.17004)], the author investigates the inner ideal geometry of a faithful irreducible highest weight module \(M\) over an affine Lie algebra \(L\). First the inner ideals of \(M\) are determined using a certain inner product on \(M\).
openaire +2 more sources
On certain extremal Banach–Mazur distances and Ader's characterization of distance ellipsoids
Mathematika, Volume 72, Issue 1, January 2026.Abstract A classical consequence of the John Ellipsoid Theorem is the upper bound n$\sqrt {n}$ on the Banach–Mazur distance between the Euclidean ball and any symmetric convex body in Rn$\mathbb {R}^n$. Equality is attained for the parallelotope and the cross‐polytope. While it is known that they are unique with this property for n=2$n=2$ but not for n⩾
Florian Grundbacher, Tomasz Kobos
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One‐level densities in families of Grössencharakters associated to CM elliptic curves
Mathematika, Volume 72, Issue 1, January 2026.Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
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Hausdorff dimension of unions of k$k$‐planes
Mathematika, Volume 72, Issue 1, January 2026.Abstract We prove a conjecture of R. Oberlin and Héra on the dimension of unions of k$k$‐planes. Let 0
Shengwen Gan
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