Results 51 to 60 of about 285 (163)
On the Index of the Quotient of a Borel Subalgebra by an ad-Nilpotent Ideal
Journal of Lie Theory, 2010 15 ...
Righi, Céline, Yu, Rupert W. T.
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Right coideal subalgebras in Uq(sln+1)
, 2008 We offer a complete classification of right coideal subalgebras which contain all group-like elements for the multiparameter version of the quantum group Uq(sln+1) provided that the main parameter q is not a root of 1. As a consequence, we determine that
Kharchenko, V.K., Sagahon, A.V. Lara
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Substitutions on compact alphabets
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We develop a systematic approach to continuous substitutions on compact Hausdorff alphabets. Focussing on implications of irreducibility and primitivity, we highlight important features of the topological dynamics of their (generalised) subshifts.
Neil Mañibo, Dan Rust, James J. Walton
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Borel subalgebras of the Witt algebra $W_1$
, 2012 13 pages; All comments are welcome!
Yao, Yu-Feng, Chang, Hao
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The symplectic density property for Calogero–Moser spaces
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract We introduce the symplectic density property and the Hamiltonian density property together with the corresponding versions of Andersén–Lempert theory. We establish these properties for the Calogero–Moser space Cn$\mathcal {C}_n$ of n$n$ particles and describe its group of holomorphic symplectic automorphisms.
Rafael B. Andrist, Gaofeng Huang
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Symmetries of abelian ideals of Borel subalgebras
, 2013 Elaborating on a paper by Suter, we provide a detailed description of the automorphism group of the poset of abelian ideals in a Borel subalgebra of a finite dimensional complex simple Lie algebra.
Cellini, Paola +2 more
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Modular representations of the Yangian Y2$Y_2$
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract Let Y2$Y_2$ be the Yangian associated to the general linear Lie algebra gl2$\mathfrak {gl}_2$, defined over an algebraically closed field k$\mathbb {k}$ of characteristic p>0$p>0$. In this paper, we study the representation theory of the restricted Yangian Y2[p]$Y^{[p]}_2$.
Hao Chang, Jinxin Hu, Lewis Topley
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Abelian subalgebras in Z2-graded Lie algebras and affine Weyl groups
, 2004 Let $G=G_0 \oplus G_1$ be a simple Z2-graded Lie algebra and let $b_0$ be a fixed Borel subalgebra of $G_0$. We describe and enumerate the abelian $b_0$-stable subalgebras of $G_1$. Copyright © 2004 Hindawi Publishing Corporation.
P. Cellini +2 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, some properties of weighted Segal algebras are investigated. The condition under which it guarantees the existence of a central approximate identity for weighted Segal algebras is given. Also, various homological and cohomological properties of weighted Segal algebras are obtained.
Batoul S. Mortazavi-Samarin +3 more
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B-Stable Ideals in the Nilradical of a Borel Subalgebra [PDF]
Canadian Mathematical Bulletin, 2005 AbstractWe count the number of strictly positive B-stable ideals in the nilradical of a Borel subalgebra and prove that the minimal roots of any B-stable ideal are conjugate by an element of the Weyl group to a subset of the simple roots. We also count the number of ideals whose minimal roots are conjugate to a fixed subset of simple roots.
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