Matches in SemOpenAlex for { <https://semopenalex.org/work/W2740760560> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W2740760560 abstract "The nonzero level sets in $n$-dimensional flat affine space of a translationally homogeneous function are improper affine spheres if and only if the Hessian determinant of the function is equal to a nonzero constant multiple of the $n$th power of the function. The exponentials of the characteristic polynomials of certain left-symmetric algebras yield examples of such functions whose level sets are analogues of the generalized Cayley hypersurface of Eastwood-Ezhov. There are found purely algebraic conditions sufficient for the characteristic polynomial of the left-symmetric algebra to have the desired properties. Precisely, it suffices that the algebra has triangularizable left multiplication operators and the trace of the right multiplication is a Koszul form for which right multiplication by the dual idempotent is projection along its kernel, which equals the derived Lie subalgebra of the left-symmetric algebra." @default.
- W2740760560 created "2017-08-08" @default.
- W2740760560 creator A5012352674 @default.
- W2740760560 date "2017-11-20" @default.
- W2740760560 modified "2023-10-01" @default.
- W2740760560 title "Left-symmetric algebras and homogeneous improper affine spheres" @default.
- W2740760560 cites W112412233 @default.
- W2740760560 cites W1483594191 @default.
- W2740760560 cites W1544626381 @default.
- W2740760560 cites W1973852416 @default.
- W2740760560 cites W2009009359 @default.
- W2740760560 cites W2009596012 @default.
- W2740760560 cites W2052993490 @default.
- W2740760560 cites W2062863447 @default.
- W2740760560 cites W2063101393 @default.
- W2740760560 cites W2086696875 @default.
- W2740760560 cites W2321696053 @default.
- W2740760560 cites W241853040 @default.
- W2740760560 cites W2963784953 @default.
- W2740760560 cites W3104747386 @default.
- W2740760560 cites W88022991 @default.
- W2740760560 doi "https://doi.org/10.1007/s10455-017-9582-0" @default.
- W2740760560 hasPublicationYear "2017" @default.
- W2740760560 type Work @default.
- W2740760560 sameAs 2740760560 @default.
- W2740760560 citedByCount "1" @default.
- W2740760560 countsByYear W27407605602023 @default.
- W2740760560 crossrefType "journal-article" @default.
- W2740760560 hasAuthorship W2740760560A5012352674 @default.
- W2740760560 hasBestOaLocation W27407605602 @default.
- W2740760560 hasConcept C114410712 @default.
- W2740760560 hasConcept C114614502 @default.
- W2740760560 hasConcept C136119220 @default.
- W2740760560 hasConcept C173110770 @default.
- W2740760560 hasConcept C202444582 @default.
- W2740760560 hasConcept C33923547 @default.
- W2740760560 hasConcept C67996461 @default.
- W2740760560 hasConcept C92757383 @default.
- W2740760560 hasConceptScore W2740760560C114410712 @default.
- W2740760560 hasConceptScore W2740760560C114614502 @default.
- W2740760560 hasConceptScore W2740760560C136119220 @default.
- W2740760560 hasConceptScore W2740760560C173110770 @default.
- W2740760560 hasConceptScore W2740760560C202444582 @default.
- W2740760560 hasConceptScore W2740760560C33923547 @default.
- W2740760560 hasConceptScore W2740760560C67996461 @default.
- W2740760560 hasConceptScore W2740760560C92757383 @default.
- W2740760560 hasLocation W27407605601 @default.
- W2740760560 hasLocation W27407605602 @default.
- W2740760560 hasOpenAccess W2740760560 @default.
- W2740760560 hasPrimaryLocation W27407605601 @default.
- W2740760560 hasRelatedWork W1981984311 @default.
- W2740760560 hasRelatedWork W1985218657 @default.
- W2740760560 hasRelatedWork W2083652149 @default.
- W2740760560 hasRelatedWork W2753511024 @default.
- W2740760560 hasRelatedWork W2783831528 @default.
- W2740760560 hasRelatedWork W2794927276 @default.
- W2740760560 hasRelatedWork W2952835313 @default.
- W2740760560 hasRelatedWork W2963693094 @default.
- W2740760560 hasRelatedWork W2963794164 @default.
- W2740760560 hasRelatedWork W4304192583 @default.
- W2740760560 isParatext "false" @default.
- W2740760560 isRetracted "false" @default.
- W2740760560 magId "2740760560" @default.
- W2740760560 workType "article" @default.