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Symmetric Powers of Nat 𝔰𝔩2(𝕂)

Authors :
Adrien Deloro
Source :
Communications in Algebra. 44:1981-2008
Publication Year :
2016
Publisher :
Informa UK Limited, 2016.

Abstract

We identify the spaces of homogeneous polynomials in two variables 𝕂[Yk, XYk−1, ⋅, Xk] among representations of the Lie ring 𝔰𝔩2(𝕂). This amounts to constructing a compatible 𝕂-linear structure on some abstract 𝔰𝔩2(𝕂)-modules, where 𝔰𝔩2(𝕂) is viewed as a Lie ring.

Details

ISSN :
15324125 and 00927872
Volume :
44
Database :
OpenAIRE
Journal :
Communications in Algebra
Accession number :
edsair.doi...........5b21bbd025d32da8ef1bf8163b50c20e
Full Text :
https://doi.org/10.1080/00927872.2014.900690