Boson representations of symplectic algebras

1986 ◽  
Vol 25 (11) ◽  
pp. 1181-1191 ◽  
Author(s):  
A. I. Georgieva ◽  
M. I. Ivanov ◽  
P. P. Raychev ◽  
R. P. Roussev
Keyword(s):  
Symplectic Algebras

Symplectic algebras and poisson algebras

1993 ◽  
Vol 21 (7) ◽  
pp. 2395-2416 ◽  
Author(s):  
Frank Loose
Keyword(s):  
Poisson Algebras ◽  
Symplectic Algebras

scholarly journals TWISTED YANGIANS AND FOLDED ${\mathcal W}$ -ALGEBRAS

2001 ◽  
Vol 16 (13) ◽  
pp. 2411-2433 ◽  
Author(s):  
E. RAGOUCY
Keyword(s):  
Irreducible Representations ◽  
R Matrix ◽  
Finite Dimensional ◽  
Symplectic Algebras

We show that the truncation of twisted Yangians are isomorphic to finite [Formula: see text] -algebras based on orthogonal or symplectic algebras. This isomorphism allows us to classify all the finite-dimensional irreducible representations of the quoted [Formula: see text] -algebras. We also give an R matrix for these [Formula: see text] -algebras, and determine their center.

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