W(sl(n)) : Existence, Cartan Basis and Infinite Abelian Subalgebras

1992 ◽  
pp. 493-503 ◽  
Author(s):  
Max R. Niedermaier
Keyword(s):  
Abelian Subalgebras

scholarly journals Maximal abelian subalgebras of complex orthogonal lie algebras

1990 ◽  
Vol 141 ◽  
pp. 183-220 ◽  
Author(s):  
V. Hussin ◽  
P. Winternitz ◽  
H. Zassenhaus
Keyword(s):  
Lie Algebras ◽  
Abelian Subalgebras

Existence theorems for abelian subalgebras

1974 ◽  
pp. 200-212
Author(s):  
Ralph K. Amayo ◽  
Ian Stewart
Keyword(s):  
Existence Theorems ◽  
Abelian Subalgebras

Abelian subalgebras in some particular types of Lie algebras

2009 ◽  
Vol 71 (12) ◽  
pp. e401-e408
Author(s):  
Manuel Ceballos ◽  
Juan Núñez ◽  
Ángel F. Tenorio
Keyword(s):  
Lie Algebras ◽  
Abelian Subalgebras

Hochschild cohomology of II1 factors with Cartan maximal abelian subalgebras

2009 ◽  
Vol 52 (2) ◽  
pp. 287-295 ◽  
Author(s):  
Jan M. Cameron
Keyword(s):  
Hochschild Cohomology ◽  
Type Ii ◽  
Cohomology Groups ◽  
Maximal Abelian Subalgebra ◽  
Abelian Subalgebra ◽  
Abelian Subalgebras ◽  
Separable Predual

AbstractIn this paper we prove that, for a type-II1 factor N with a Cartan maximal abelian subalgebra, the Hochschild cohomology groups Hn(N,N)=0 for all n≥1. This generalizes the result of Sinclair and Smith, who proved this for all N having a separable predual.

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