Results 81 to 90 of about 285 (163)

Uniqueness of embeddings of certain induced modules

open access: yes, 1976
A theorem of D.-N. Verma on the uniqueness of embeddings of certain algebraically induced modules is generalized from the case of Borel subalgebras of semisimple Lie algebras to the case of arbitrary parabolic subalgebras.
J. Lepowsky
core   +1 more source

A characterization of certain weak∗-closed subalgebras of L∞

open access: yes, 1977
Let R denote the real line and L∞(R), the class of all Borel measurable L∞-functions of R. Let S ≠ {0} or φ, be a linear subspace of L∞(R) which is (i) translation invariant, (ii) weak∗-closed, (iii) self-adjoint, i.e., f ϵ S implies f ϵ S, and (iv) an ...
P.K Pathak   +3 more
core   +1 more source

Vector bundles on rational homogeneous spaces. [PDF]

open access: yesAnn Mat Pura Appl, 2021
Du R, Fang X, Gao Y.
europepmc   +1 more source

On θ-stable Borel subalgebras of large type for real reductive groups

open access: yes, 2000
Vogan-Zuckerman's standard representation $X$ for a real reductive group $G(\textbf{\textit R})$ is constructed from a θ-stable parabolic subalgebra $\mathfrak{q}$ of the complexified Lie algebra $\mathfrak{g}$ of $G(\textbf{\textit{R}})$.
Ohta, Takuya
core  

On projective resolutions of simple modules over the Borel subalgebra S+(n,r) of the Schur algebra S(n,r) for n⩽3

open access: yes, 2008
We construct projective resolutions for simple modules over the Borel subalgebras S+(2,r) and S+(3,r) of the Schur algebras S(2,r) and S(3,r) over a field of positive characteristic. In the case S+(2,r) we get a minimal projective resolution.
Yudin, Ivan
core   +1 more source

An Euler system for GU(2, 1). [PDF]

open access: yesMath Ann, 2022
Loeffler D, Skinner C, Zerbes SL.
europepmc   +1 more source

ad-nilpotent ideals of a Borel subalgebra: generators and duality

open access: yesJournal 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 $
openaire   +3 more sources

Parabolic decomposition for properly stratified algebras

open access: yes, 2002
We generalize the machinery of exact Borel subalgebras of quasi-hereditary algebras on properly stratified ...
Mazorchuk, V., Klucznik, M.
core   +1 more source

Solvable Subgroups and their Lie Algebras in Characteristic p

open access: yes, 1979
1. Introduction. Throughout this paper, G is a connected linear algebraic group over an algebraically closed field whose characteristic is denoted p. For any closed subgroup H of G, denotes the Lie algebra of H and H0 denotes the connected component of ...
David J. Winter
core   +1 more source

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