Results 51 to 60 of about 405 (171)
Irreducible modules for the quantum affine algebra Uq(slˆ2) and its Borel subalgebra
, 2004 Let Uq(b) denote the standard Borel subalgebra of the quantum affine algebra Uq(slˆ2). We show that the following hold for any choice of scalars ɛ0,ɛ1 from the set {1,−1}: (i)Let V be a finite-dimensional irreducible Uq(b)-module of type (ɛ0,ɛ1).
Benkart, Georgia, Terwilliger, Paul
core +1 more source
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.
openaire +3 more sources
Averaging multipliers on locally compact quantum groups
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We study an averaging procedure for completely bounded multipliers on a locally compact quantum group with respect to a compact quantum subgroup. As a consequence we show that central approximation properties of discrete quantum groups are equivalent to the corresponding approximation properties of their Drinfeld doubles.
Matthew Daws +2 more
wiley +1 more source
Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra [PDF]
, 2000 summary:Let $\Cal P$ be an arbitrary parabolic subalgebra of a simple associative $F$-algebra. The ideals of $\Cal P$ are determined completely; Each ideal of $\Cal P$ is shown to be generated by one element; Every non-linear invertible map on $\Cal P ...
Dengyin Wang +9 more
core +1 more source
Borel subalgebras of the Witt algebra $W_1$
, 2012 13 pages; All comments are welcome!
Yao, Yu-Feng, Chang, Hao
openaire +2 more sources
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
wiley +1 more source
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
openaire +2 more sources
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
wiley +1 more source
Strong Exact Borel Subalgebras of Quasi-hereditary Algebras and Abstract Kazhdan–Lusztig Theory
, 1999 Strong exact Borel subalgebras and strong Δ-subalgebras are shown to exist for quasi-hereditary algebras which possess exact Borel subalgebras and Δ-subalgebras.
Steffen König, König, Steffen
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B-stable ideals in the nilradical of a Borel subalgebra
, 2005 This is the pre-published version harvested from ArXiv. The published version is located at http://www.ams.org/mathscinet-getitem?mr=2154088Let $G$G be a connected simple algebraic group over the complex numbers and $B$B a Borel subgroup.
Sommers, EN
core +1 more source