scholarly journals TWO-POINT FUNCTIONS IN AFFINE CURRENT ALGEBRA AND CONJUGATE WEIGHTS

1998 ◽  
Vol 13 (16) ◽  
pp. 1281-1288 ◽  
Author(s):  
JØRGEN RASMUSSEN
Keyword(s):  
Lie Algebras ◽  
Current Algebra ◽  
Primary Field ◽  
Simple Lie Algebras ◽  
Arbitrary Weight ◽  
Current Algebras

The two-point functions in affine current algebras based on simple Lie algebras are constructed for all representations, integrable or non-integrable. The weight of the conjugate field to a primary field of arbitrary weight is immediately read off.

scholarly journals TWO-POINT FUNCTIONS IN AFFINE SL(N) CURRENT ALGEBRA

1998 ◽  
Vol 13 (15) ◽  
pp. 1213-1221 ◽  
Author(s):  
JØRGEN RASMUSSEN
Keyword(s):  
Explicit Form ◽  
Current Algebra ◽  
Primary Field ◽  
Arbitrary Weight

In this letter the explicit form of general two-point functions in affine SL (N) current algebra is provided for all representations, integrable or non-integrable. The weight of the conjugate field to a primary field of arbitrary weight is immediately read off.

scholarly journals On deformed double current algebras for simple Lie algebras

2017 ◽  
Vol 24 (5) ◽  
pp. 1307-1384 ◽  
Author(s):  
Nicolas Guay ◽  
Yaping Yang
Keyword(s):  
Lie Algebras ◽  
Simple Lie Algebras ◽  
Current Algebras

scholarly journals CURRENT ALGEBRA FUNCTORS AND EXTENSIONS

2013 ◽  
Vol 25 (07) ◽  
pp. 1350012
Author(s):  
ANTON ALEKSEEV ◽  
PAVOL SEVERA ◽  
CORNELIA VIZMAN
Keyword(s):  
Lie Algebra ◽  
Lie Algebras ◽  
Current Algebra ◽  
Equivariant Cohomology ◽  
Sigma Model ◽  
Current Group ◽  
Group Extensions ◽  
Current Algebras

We show how the fundamental cocycles on current Lie algebras and the Lie algebra of symmetries for the sigma model are obtained via the current algebra functors introduced in [A. Alekseev and P. Severa, Equivariant cohomology and current algebras, Confluentes Math.4 (2012) 1250001, 40 pp.]. We present current group extensions integrating some of these current Lie algebra extensions.

scholarly journals CODES, S-STRUCTURES, AND EXCEPTIONAL LIE ALGEBRAS

2019 ◽  
Vol 62 (S1) ◽  
pp. S14-S27 ◽  
Author(s):  
ISABEL CUNHA ◽  
ALBERTO ELDUQUE
Keyword(s):  
Lie Algebras ◽  
Simple Lie Algebras ◽  
Nonassociative Algebras ◽  
Exceptional Lie Algebras

AbstractThe exceptional simple Lie algebras of types E7 and E8 are endowed with optimal $\mathsf{SL}_2^n$ -structures, and are thus described in terms of the corresponding coordinate algebras. These are nonassociative algebras which much resemble the so-called code algebras.

Models of isotropic simple lie algebras

1979 ◽  
Vol 7 (17) ◽  
pp. 1835-1875 ◽  
Author(s):  
B.N. Allison
Keyword(s):  
Lie Algebras ◽  
Simple Lie Algebras

Nilpotent Orbits in Simple Lie Algebras and their Transverse Poisson Structures

2008 ◽  
Author(s):  
P. A. Damianou ◽  
H. Sabourin ◽  
P. Vanhaecke ◽  
Rui Loja Fernandes ◽  
Roger Picken
Keyword(s):  
Lie Algebras ◽  
Poisson Structures ◽  
Nilpotent Orbits ◽  
Simple Lie Algebras

scholarly journals On the construction of simple lie algebras

1973 ◽  
Vol 27 (1) ◽  
pp. 158-183 ◽  
Author(s):  
S Berman
Keyword(s):  
Lie Algebras ◽  
Simple Lie Algebras
Sign in / Sign up

Export Citation Format

Share Document