We study the structure of the Lie algebra s(n,R) corresponding to the so-called stochastic Lie group S(n,R). We obtain the Levi decomposition of the Lie algebra, classify Levi factor and classify the representation of the factor in Rn. We discuss isomorphism of S(n,R) with the group of invertible affine maps Aff(n−1,R). We prove that s(n,R) is generated by two generic elements.
On the stochastic Lie algebra / Guerra Manuel; Sarychev Andrey. - ELETTRONICO. - (2018), pp. 0-0.
On the stochastic Lie algebra
Sarychev Andrey
2018
Abstract
We study the structure of the Lie algebra s(n,R) corresponding to the so-called stochastic Lie group S(n,R). We obtain the Levi decomposition of the Lie algebra, classify Levi factor and classify the representation of the factor in Rn. We discuss isomorphism of S(n,R) with the group of invertible affine maps Aff(n−1,R). We prove that s(n,R) is generated by two generic elements.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
1805.07299.pdf
accesso aperto
Tipologia:
Pdf editoriale (Version of record)
Licenza:
Open Access
Dimensione
156.98 kB
Formato
Adobe PDF
|
156.98 kB | Adobe PDF |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
