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Symmetric Powers of Nat 𝔰𝔩2(𝕂)
- 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.
- Subjects :
- Principal ideal ring
Discrete mathematics
Reduced ring
Algebra and Number Theory
Simple Lie group
010102 general mathematics
010103 numerical & computational mathematics
(g,K)-module
16. Peace & justice
01 natural sciences
Graded Lie algebra
Representation of a Lie group
0101 mathematics
Ring of symmetric functions
Quotient ring
Mathematics
Subjects
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