Decomposition of the Enveloping Algebra so(5)

Čestmír Burdík () and Ondřej Navrátil ()
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Čestmír Burdík: Faculty of Nuclear Sciences and Physical Engineering Czech Technical University, Department of Mathematics
Ondřej Navrátil: Faculty of Nuclear Sciences and Physical Engineering Czech Technical University, Department of Mathematics

Chapter 25 in Generalized Lie Theory in Mathematics, Physics and Beyond, 2009, pp 297-302 from Springer

Abstract: The adjoint representation of so(5) on its universal enveloping algebra U(so(5)) is explicitly decomposed into irreducible components. It is shown that the commutant of raising operators of so(5) is generated by seven elements. The explicit form of these elements is given.

Keywords: Vector Space; High Weight; Irreducible Component; Adjoint Representation; Linear Independence (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-85332-9_25

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DOI: 10.1007/978-3-540-85332-9_25

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