Matches in SemOpenAlex for { <https://semopenalex.org/work/W2810645071> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W2810645071 abstract "To an arbitrary Lie superalgebra $L$ we associate its Jordan double ${mathcal Jor}(L)$, which is a Jordan superalgebra. This notion was introduced by the second author before. Now we study further applications of this construction. First, we show that the Gelfand-Kirillov dimension of a Jordan superalgebra can be an arbitrary number ${0}cup [1,+infty]$. Thus, unlike associative and Jordan algebras, one hasn't an analogue of Bergman's gap $(1,2)$ for the Gelfand-Kirillov dimension of Jordan superalgebras. Second, using the Lie superalgebra $mathbf R$ constructed before, we construct a Jordan superalgebra $mathbf J={mathcal Jor}({mathbf R})$ that is nil finely $mathbb Z^3$-graded, in contrast with non-existence of such examples (roughly speaking, analogues of the Grigorchuk and Gupta-Sidki groups) of Lie algebras in characteristic zero and Jordan algebras in characteristic not 2. Also, $mathbf J$ is just infinite but not hereditary just infinite. A similar Jordan superalgebra of slow polynomial growth was constructed before. The virtue of the present example is that it is of linear growth, of finite width 4, namely, its $mathbb N$-gradation by degree in the generators has components of dimensions ${0,2,3,4}$, and the sequence of these dimensions is non-periodic. Third, we review constructions of Poisson and Jordan superalgebras starting with another example of a Lie superalgebra. We discuss the notion of self-similarity for Lie, associative, Poisson, and Jordan superalgebras. We also discuss the notion of a wreath product in case of Jordan superalgebras." @default.
- W2810645071 created "2018-07-10" @default.
- W2810645071 creator A5043411051 @default.
- W2810645071 creator A5049927348 @default.
- W2810645071 date "2018-06-26" @default.
- W2810645071 modified "2023-09-23" @default.
- W2810645071 title "On Jordan doubles of slow growth of Lie superalgebras" @default.
- W2810645071 cites W1487047785 @default.
- W2810645071 cites W1496509201 @default.
- W2810645071 cites W1559850722 @default.
- W2810645071 cites W1971612330 @default.
- W2810645071 cites W2001245448 @default.
- W2810645071 cites W2003004532 @default.
- W2810645071 cites W2019798822 @default.
- W2810645071 cites W2025241434 @default.
- W2810645071 cites W2028662165 @default.
- W2810645071 cites W2056999802 @default.
- W2810645071 cites W2059141018 @default.
- W2810645071 cites W2061621717 @default.
- W2810645071 cites W2084370743 @default.
- W2810645071 cites W2091814073 @default.
- W2810645071 cites W2092264529 @default.
- W2810645071 cites W2117933272 @default.
- W2810645071 cites W2143560940 @default.
- W2810645071 cites W2167544024 @default.
- W2810645071 cites W2228212880 @default.
- W2810645071 cites W2332236704 @default.
- W2810645071 cites W2411981288 @default.
- W2810645071 cites W2489519185 @default.
- W2810645071 cites W2528408376 @default.
- W2810645071 cites W3023262804 @default.
- W2810645071 cites W3102892466 @default.
- W2810645071 cites W3159793380 @default.
- W2810645071 cites W2117973193 @default.
- W2810645071 hasPublicationYear "2018" @default.
- W2810645071 type Work @default.
- W2810645071 sameAs 2810645071 @default.
- W2810645071 citedByCount "0" @default.
- W2810645071 crossrefType "posted-content" @default.
- W2810645071 hasAuthorship W2810645071A5043411051 @default.
- W2810645071 hasAuthorship W2810645071A5049927348 @default.
- W2810645071 hasConcept C123439655 @default.
- W2810645071 hasConcept C136119220 @default.
- W2810645071 hasConcept C138885662 @default.
- W2810645071 hasConcept C186863843 @default.
- W2810645071 hasConcept C202444582 @default.
- W2810645071 hasConcept C2780813799 @default.
- W2810645071 hasConcept C33676613 @default.
- W2810645071 hasConcept C33923547 @default.
- W2810645071 hasConcept C41895202 @default.
- W2810645071 hasConcept C51568863 @default.
- W2810645071 hasConcept C5475112 @default.
- W2810645071 hasConcept C78804095 @default.
- W2810645071 hasConcept C81999800 @default.
- W2810645071 hasConceptScore W2810645071C123439655 @default.
- W2810645071 hasConceptScore W2810645071C136119220 @default.
- W2810645071 hasConceptScore W2810645071C138885662 @default.
- W2810645071 hasConceptScore W2810645071C186863843 @default.
- W2810645071 hasConceptScore W2810645071C202444582 @default.
- W2810645071 hasConceptScore W2810645071C2780813799 @default.
- W2810645071 hasConceptScore W2810645071C33676613 @default.
- W2810645071 hasConceptScore W2810645071C33923547 @default.
- W2810645071 hasConceptScore W2810645071C41895202 @default.
- W2810645071 hasConceptScore W2810645071C51568863 @default.
- W2810645071 hasConceptScore W2810645071C5475112 @default.
- W2810645071 hasConceptScore W2810645071C78804095 @default.
- W2810645071 hasConceptScore W2810645071C81999800 @default.
- W2810645071 hasOpenAccess W2810645071 @default.
- W2810645071 hasRelatedWork W1747607450 @default.
- W2810645071 hasRelatedWork W1989631212 @default.
- W2810645071 hasRelatedWork W2019702107 @default.
- W2810645071 hasRelatedWork W2023275122 @default.
- W2810645071 hasRelatedWork W2029207728 @default.
- W2810645071 hasRelatedWork W2078735549 @default.
- W2810645071 hasRelatedWork W2087089783 @default.
- W2810645071 hasRelatedWork W2254972984 @default.
- W2810645071 hasRelatedWork W2566190662 @default.
- W2810645071 hasRelatedWork W2760782985 @default.
- W2810645071 hasRelatedWork W2869201820 @default.
- W2810645071 hasRelatedWork W2885793620 @default.
- W2810645071 hasRelatedWork W2906218616 @default.
- W2810645071 hasRelatedWork W2947083381 @default.
- W2810645071 hasRelatedWork W2950459030 @default.
- W2810645071 hasRelatedWork W2952280987 @default.
- W2810645071 hasRelatedWork W2953034064 @default.
- W2810645071 hasRelatedWork W3103358387 @default.
- W2810645071 hasRelatedWork W3134115512 @default.
- W2810645071 hasRelatedWork W35050420 @default.
- W2810645071 isParatext "false" @default.
- W2810645071 isRetracted "false" @default.
- W2810645071 magId "2810645071" @default.
- W2810645071 workType "article" @default.