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Abstract
We consider the (finite) Walgebra W_{mn} attached to the principal nilpotent orbit in the general linear Lie superalgebra gl_{mn}(ℂ). Our main result gives an explicit description of W_{mn} as a certain truncation of a shifted version of the Yangian Y (gl_{11}). We also show that W_{mn} admits a triangular decomposition and construct its irreducible representations.
Original language  English 

Pages (fromto)  18491882 
Number of pages  34 
Journal  Algebra and Number Theory 
Volume  7 
Issue number  8 
DOIs  
Publication status  Published  2013 
Keywords
 Lie superalgebras
 Walgebras
ASJC Scopus subject areas
 Algebra and Number Theory
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Dive into the research topics of 'Principal Walgebras for GL(mn)'. Together they form a unique fingerprint.Projects
 1 Finished

Representation Theory of Finite Walgebras
Engineering & Physical Science Research Council
17/08/09 → 16/08/12
Project: Research Councils