Results 41 to 50 of about 3,293,045 (70)

Invariant algebras and completely reducible representations [PDF]

open access: yes, 1994
We give a general construction of affine noetherian algebras with the property that every finite dimensional representation is completely reducible. Starting from enveloping algebras of semi simple Lie algebras in characteristic zero we obtain explicit ...
Kraft, Hanspeter, Small, Lance W.
core  

Quantised coordinate rings of semisimple groups are unique factorisation domains [PDF]

open access: yes, 2007
We show that the quantum coordinate ring of a semisimple group is a unique factorisation domain in the sense of Chatters and Jordan in the case where the deformation parameter q is a transcendental ...
Lenagan, T.H., Launois, Stephane
core   +1 more source

SMARANDACHE NON-ASSOCIATIVE RINGS [PDF]

open access: yes, 2002
An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic ...
Vasantha, Kandasamy
core   +1 more source

Lie algebras: infinite generalizations and deformations [PDF]

open access: yes, 1990
There are many applications of Lie algebras to theoretical physics. This thesis is a study of some new mathematical structures which also are applicable to current physical ideas.
Fletcher, Paul, Fletcher, P
core  

Invariants of automorphic lie algebras [PDF]

open access: yes
Automorphic Lie Algebras arise in the context of reduction groups introduced in the late 1970s [35] in the field of integrable systems. They are subalgebras of Lie algebras over a ring of rational functions, denied by invariance under the action of a ...
Knibbeler, Vincent
core  

Automorphisms and twisted vertex operators [PDF]

open access: yes, 1987
This work is an examination of various aspects of twisted vertex operator representations of Kac-Moody algebras. It starts with an introduction to Kac-Moody algebras and string theories, including a discussion of the propagation of strings on orbifolds ...
Myhill, R.G, Myhill, Richard Graham
core  

Non-degenerate Invariant (Super)Symmetric Bilinear Forms on Simple Lie (Super)Algebras

open access: yes, 2018
We review the list of non-degenerate invariant (super)symmetric bilinear forms (briefly: NIS) on the following simple (relatives of) Lie (super)algebras: (a) with symmetrizable Cartan matrix of any growth, (b) with non-symmetrizable Cartan matrix of ...
Bouarroudj, Sofiane   +3 more
core   +1 more source

The symplectic ideal and a double centraliser theorem

open access: yes, 2007
Let G be a reductive connected linear algebraic group over an algebraically closed field of positive characteristic and let g be its Lie algebra. First we correct and generalise a well-known result about the Picard group of G.
Tange, Rudolf
core   +1 more source

Global symmetries and N = 2 SUSY. [PDF]

open access: yesLett Math Phys, 2017
McOrist J, Melnikov IV, Wecht B.
europepmc   +1 more source

Indefinite intertwining operators. [PDF]

open access: yesProc Natl Acad Sci U S A, 1984
Baldoni-Silva MW, Knapp AW.
europepmc   +1 more source

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