Results 71 to 80 of about 203 (170)
Annalen der Physik, Volume 537, Issue 12, December 2025.A set of particle representations, familiar from the Standard Model, collectively form a superalgebra. Those representations mirroring the behaviour of the Standard Model's gauge bosons, and three generations of fermions, are each included in this algebra, with exception only to those representations involving the top quark.
N. Furey
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On the solvability of the Lie algebra HH1(B)$\mathrm{HH}^1(B)$ for blocks of finite groups
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We give some criteria for the Lie algebra HH1(B)$\mathrm{HH}^1(B)$ to be solvable, where B$B$ is a p$p$‐block of a finite group algebra, in terms of the action of an inertial quotient of B$B$ on a defect group of B$B$.
Markus Linckelmann, Jialin Wang
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W‐algebras, Gaussian free fields, and g$\mathfrak {g}$‐Dotsenko–Fateev integrals
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract Based on the intrinsic connection between Gaussian free fields and the Heisenberg vertex algebra, we study some aspects of the correspondence between probability theory and W$W$‐algebras. This is first achieved by providing a construction of the W$W$‐algebra associated to a complex simple Lie algebra g$\mathfrak {g}$ by means of Gaussian free ...
Baptiste Cerclé
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Bigeneric initial ideals, diagonal subalgebras and bigraded Hilbert functions
Journal of Pure and Applied Algebra, 2000 Let \(k\) be an infinite field, \(R=k[X_1, \dots, X_n,Y_1, \dots,Y_m]\) the polynomial ring in \(m+n\) variables over \(k\). Consider the grading on \(R\) defined by \(\deg X_i=(1,0)\), \(\deg Y_j=(0,1)\). A bigraded ideal is an ideal of \(R\) homogeneous with respect to this grading.
A. ARAMOVA, K. CRONA, DE NEGRI, EMANUELA
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GL‐algebras in positive characteristic II: The polynomial ring
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We study GL$\mathbf {GL}$‐equivariant modules over the infinite variable polynomial ring S=k[x1,x2,…,xn,…]$S = k[x_1, x_2, \ldots, x_n, \ldots]$ with k$k$ an infinite field of characteristic p>0$p > 0$. We extend many of Sam–Snowden's far‐reaching results from characteristic zero to this setting.
Karthik Ganapathy
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ad-nilpotent ideals of a Borel subalgebra: generators and duality
Journal of Algebra, 2004 It was shown by Cellini and Papi that an ad-nilpotent ideal determines certain element of the affine Weyl group, and that there is a bijection between the ad-nilpotent ideals and the integral points of a simplex with rational vertices. We give a description of the generators of ad-nilpotent ideals in terms of these elements, and show that an ideal has $
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Fuzzy Subalgebras And Fuzzy Ideals Of Bci-Algebras With Operators
, 2017 {"references": ["Y. Imai and K. Iseki, \"On axiom system of propositional calculus,\" Proc Aapan Academy, vol. 42, pp. 26-29, 1966.", "K. Iseki, \"On BCI-algebras,\" Math. Sem. Notes, vol. 8, pp.125-130, 1980.", "O.G. Xi, \"Fuzzy BCK-algebras,\" Math Japon, vol. 36, pp. 935-942, 1991.", "Y.B. Jun, S.M. Hong, J. Meng and X.L. Xin, \"Characterizations of
Hu, Yuli, Shaoquan Sun
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Rough subalgebras of some binary algebras connected with logics
International Journal of Mathematics and Mathematical Sciences, 2005 Properties of rough subalgebras and ideals of some binary algebras playing a central role in the theory of algebras connected with different types of nonclassical logics are described.
Wieslaw A. Dudek, Young Bae Jun
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Glorious pairs of roots and Abelian ideals of a Borel subalgebra [PDF]
Journal of Algebraic Combinatorics, 2019 Let $\mathfrak g$ be a simple Lie algebra with a Borel subalgebra $\mathfrak b$. Let $ ^+$ be the corresponding (po)set of positive roots and $ $ the highest root. A pair $\{ , '\}\subset ^+$ is said to be glorious, if $ , '$ are incomparable and $ + '= $.
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An Algorithm for Computing Ideals and Conjugacy Classes of Subalgebras of Borel Subalgebras
In this article, we present a constructive procedure for determining all ideals of the Borel subalgebra of a complex semisimple Lie algebra from its root system or, equivalently, its Dynkin diagram. The proposed algorithmic approach has been implemented in Maple.
Asghar, Nimra Sher, Azad, Hassan
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